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<p>Dear Barry,</p>
<p>the code is attached. <br>
</p>
<p>Just to let you know. When I commented out MatShellSetContext()
in FormJacobianShell(), then the code seems to work, meaning that
the base vector is passed to shell matrix context behind the
scene. <br>
</p>
<p>Best regards,</p>
<p>Yi<br>
</p>
<div class="moz-cite-prefix">On 2/5/24 19:09, Barry Smith wrote:<br>
</div>
<blockquote type="cite"
cite="mid:2D4940CD-C7A4-4A17-A523-2804488303F1@petsc.dev">
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<div><br>
</div>
Send the entire code.
<div><br id="lineBreakAtBeginningOfMessage">
<div><br>
<blockquote type="cite">
<div>On Feb 4, 2024, at 4:43 PM, Yi Hu <a class="moz-txt-link-rfc2396E" href="mailto:y.hu@mpie.de"><y.hu@mpie.de></a>
wrote:</div>
<br class="Apple-interchange-newline">
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<meta http-equiv="Content-Type"
content="text/html; charset=UTF-8">
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<p>Thanks for your response. You are correct. I
overlooked this step.</p>
<p>Now I am trying to correct my "shell matrix approach"
for ex1f.F90 of snes solver
(<a class="moz-txt-link-freetext"
href="https://github.com/hyharry/small_petsc_test/blob/master/test_shell_jac/ex1f.F90"
moz-do-not-send="true">https://github.com/hyharry/small_petsc_test/blob/master/test_shell_jac/ex1f.F90</a>).
I realized that I need to record the base vector X in
the context of shell matrix and then use this info to
carry MyMult. However, the context cannot be obtained
through MatShellGetContext(). Here are the critical
parts of my code.</p>
<p> INTERFACE MatCreateShell<br>
SUBROUTINE
MatCreateShell(comm,mloc,nloc,m,n,ctx,mat,ierr)<br>
USE solver_context<br>
MPI_Comm :: comm<br>
PetscInt :: mloc,nloc,m,n<br>
Vec :: ctx<br>
Mat :: mat<br>
PetscErrorCode :: ierr<br>
END SUBROUTINE MatCreateShell<br>
END INTERFACE MatCreateShell<br>
<br>
INTERFACE MatShellSetContext<br>
SUBROUTINE MatShellSetContext(mat,ctx,ierr)<br>
USE solver_context<br>
Mat :: mat<br>
!TYPE(MatCtx) :: ctx<br>
Vec :: ctx<br>
PetscErrorCode :: ierr<br>
END SUBROUTINE MatShellSetContext<br>
END INTERFACE MatShellSetContext<br>
<br>
INTERFACE MatShellGetContext<br>
SUBROUTINE MatShellGetContext(mat,ctx,ierr)<br>
USE solver_context<br>
Mat :: mat<br>
Vec, Pointer :: ctx<br>
PetscErrorCode :: ierr<br>
END SUBROUTINE MatShellGetContext<br>
END INTERFACE MatShellGetContext</p>
<p>in my FormShellJacobian() I did</p>
<p>subroutine FormJacobianShell(snes,X,jac,B,dummy,ierr)</p>
<p>......<br>
<br>
call MatShellSetContext(jac,X,ierr)</p>
<p>......</p>
<p>Then in MyMult() I tried to recover this context by <br>
</p>
<p>call MatShellGetContext(J,x,ierr)</p>
<p>call VecView(x,PETSC_VIEWER_STDOUT_WORLD,ierr)<br>
</p>
<p>Then the program failed with <br>
</p>
<p>[0]PETSC ERROR: --------------------- Error Message
--------------------------------------------------------------<br>
[0]PETSC ERROR: Null argument, when expecting valid
pointer<br>
[0]PETSC ERROR: Null Pointer: Parameter # 1<br>
</p>
<p>In MyMult, I actually defined x to be a pointer. So I
am confused here. </p>
<p>Best regards,</p>
<p>Yi <br>
</p>
<div class="moz-cite-prefix">On 1/31/24 03:18, Barry
Smith wrote:<br>
</div>
<blockquote type="cite"
cite="mid:6C071B22-8D59-4DB8-BCF9-6F31300A648B@petsc.dev">
<meta http-equiv="content-type"
content="text/html; charset=UTF-8">
<div><br>
</div>
It is not running an extra KSP iteration. This
"extra" matmult is normal and occurs in many of the
SNESLineSearchApply_* functions, for example, <a
href="https://petsc.org/release/src/snes/linesearch/impls/bt/linesearchbt.c.html#SNESLineSearchApply_BT"
moz-do-not-send="true" class="moz-txt-link-freetext">https://petsc.org/release/src/snes/linesearch/impls/bt/linesearchbt.c.html#SNESLineSearchApply_BT</a> It
is used to decide if the Newton step results in
sufficient decrease of the function value.
<div><br>
</div>
<div> Barry<br>
<div><br>
</div>
<div><br id="lineBreakAtBeginningOfMessage">
<div><br>
<blockquote type="cite">
<div>On Jan 30, 2024, at 3:19 PM, Yi Hu <a
class="moz-txt-link-rfc2396E"
href="mailto:y.hu@mpie.de"
moz-do-not-send="true"><y.hu@mpie.de></a>
wrote:</div>
<br class="Apple-interchange-newline">
<div>
<meta http-equiv="Content-Type"
content="text/html; charset=UTF-8">
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<p>Hello Barry,</p>
<p>Thanks for your reply. The monitor
options are fine. I actually meant my
modification of snes tutorial ex1f.F90
does not work and has some unexpected
behavior. I basically wanted to test if
I can use a shell matrix as my jacobian
(code is here <a
class="moz-txt-link-freetext"
href="https://github.com/hyharry/small_petsc_test/blob/master/test_shell_jac/ex1f.F90"
moz-do-not-send="true">https://github.com/hyharry/small_petsc_test/blob/master/test_shell_jac/ex1f.F90</a>).
After compile my modified version and
run with these monitor options, it gives
me the following,<br>
</p>
<p> ( in rhs )<br>
( leave rhs )<br>
0 SNES Function norm
6.041522986797e+00 <br>
++++++++++++ in jac shell +++++++++++<br>
0 KSP Residual norm
6.041522986797e+00 <br>
=== start mymult ===<br>
=== done mymult ===<br>
1 KSP Residual norm
5.065392549852e-16 <br>
Linear solve converged due to
CONVERGED_RTOL iterations 1<br>
=== start mymult ===<br>
=== done mymult ===<br>
( in rhs )<br>
( leave rhs )<br>
1 SNES Function norm
3.512662245652e+00 <br>
++++++++++++ in jac shell +++++++++++<br>
0 KSP Residual norm
3.512662245652e+00 <br>
=== start mymult ===<br>
=== done mymult ===<br>
1 KSP Residual norm
6.230314124713e-16 <br>
Linear solve converged due to
CONVERGED_RTOL iterations 1<br>
=== start mymult ===<br>
=== done mymult ===<br>
( in rhs )<br>
( leave rhs )<br>
( in rhs )<br>
( leave rhs )<br>
2 SNES Function norm
8.969285922373e-01 <br>
++++++++++++ in jac shell +++++++++++<br>
0 KSP Residual norm
8.969285922373e-01 <br>
=== start mymult ===<br>
=== done mymult ===<br>
1 KSP Residual norm
0.000000000000e+00 <br>
Linear solve converged due to
CONVERGED_ATOL iterations 1<br>
=== start mymult ===<br>
=== done mymult ===<br>
( in rhs )<br>
( leave rhs )<br>
( in rhs )<br>
( leave rhs )<br>
3 SNES Function norm
4.863816734540e-01 <br>
++++++++++++ in jac shell +++++++++++<br>
0 KSP Residual norm
4.863816734540e-01 <br>
=== start mymult ===<br>
=== done mymult ===<br>
1 KSP Residual norm
0.000000000000e+00 <br>
Linear solve converged due to
CONVERGED_ATOL iterations 1<br>
=== start mymult ===<br>
=== done mymult ===<br>
( in rhs )<br>
( leave rhs )<br>
( in rhs )<br>
( leave rhs )<br>
4 SNES Function norm
3.512070785520e-01 <br>
++++++++++++ in jac shell +++++++++++<br>
0 KSP Residual norm
3.512070785520e-01 <br>
=== start mymult ===<br>
=== done mymult ===<br>
1 KSP Residual norm
0.000000000000e+00 <br>
Linear solve converged due to
CONVERGED_ATOL iterations 1<br>
=== start mymult ===<br>
=== done mymult ===<br>
( in rhs )<br>
( leave rhs )<br>
( in rhs )<br>
( leave rhs )<br>
5 SNES Function norm
2.769700293115e-01 <br>
++++++++++++ in jac shell +++++++++++<br>
0 KSP Residual norm
2.769700293115e-01 <br>
=== start mymult ===<br>
=== done mymult ===<br>
1 KSP Residual norm
1.104778916974e-16 <br>
Linear solve converged due to
CONVERGED_RTOL iterations 1<br>
=== start mymult ===<br>
=== done mymult ===<br>
( in rhs )<br>
( leave rhs )<br>
( in rhs )<br>
( leave rhs )<br>
6 SNES Function norm
2.055345318150e-01 <br>
++++++++++++ in jac shell +++++++++++<br>
0 KSP Residual norm
2.055345318150e-01 <br>
=== start mymult ===<br>
=== done mymult ===<br>
1 KSP Residual norm
0.000000000000e+00 <br>
Linear solve converged due to
CONVERGED_ATOL iterations 1<br>
=== start mymult ===<br>
=== done mymult ===<br>
( in rhs )<br>
( leave rhs )<br>
( in rhs )<br>
( leave rhs )<br>
7 SNES Function norm
1.267482220786e-01 <br>
++++++++++++ in jac shell +++++++++++<br>
0 KSP Residual norm
1.267482220786e-01 <br>
=== start mymult ===<br>
=== done mymult ===<br>
1 KSP Residual norm
1.498679601680e-17 <br>
Linear solve converged due to
CONVERGED_RTOL iterations 1<br>
=== start mymult ===<br>
=== done mymult ===<br>
( in rhs )<br>
( leave rhs )<br>
( in rhs )<br>
( leave rhs )<br>
8 SNES Function norm
3.468150619264e-02 <br>
++++++++++++ in jac shell +++++++++++<br>
0 KSP Residual norm
3.468150619264e-02 <br>
=== start mymult ===<br>
=== done mymult ===<br>
1 KSP Residual norm
5.944160522951e-18 <br>
Linear solve converged due to
CONVERGED_RTOL iterations 1<br>
=== start mymult ===<br>
=== done mymult ===<br>
( in rhs )<br>
( leave rhs )<br>
( in rhs )<br>
( leave rhs )<br>
( in rhs )<br>
( leave rhs )<br>
( in rhs )<br>
( leave rhs )<br>
( in rhs )<br>
( leave rhs )<br>
( in rhs )<br>
( leave rhs )<br>
( in rhs )<br>
( leave rhs )<br>
( in rhs )<br>
( leave rhs )<br>
( in rhs )<br>
( leave rhs )<br>
( in rhs )<br>
( leave rhs )<br>
( in rhs )<br>
( leave rhs )<br>
( in rhs )<br>
( leave rhs )<br>
( in rhs )<br>
( leave rhs )<br>
( in rhs )<br>
( leave rhs )<br>
=== start mymult ===<br>
=== done mymult ===<br>
Nonlinear solve did not converge due to
DIVERGED_LINE_SEARCH iterations 8<br>
Number of SNES iterations = 8<br>
</p>
<p>After each "Linear solve converged due
to CONVERGED_ATOL iterations", the code
starts to do mymult again. So I thought
it did an extra (unwanted) KSP
iteration. I would like to ask if this
extra iteration could be disabled, or
maybe I am wrong about it.</p>
<p>Best regards,</p>
<p>Yi<br>
</p>
<div class="moz-cite-prefix">On 1/30/24
18:35, Barry Smith wrote:<br>
</div>
<blockquote type="cite"
cite="mid:EAE20968-7A66-449E-8A14-6FBAD06CE0C3@petsc.dev">
<meta http-equiv="content-type"
content="text/html; charset=UTF-8">
<div><br>
</div>
How do I see a difference? What does "<span
style="font-family: Calibri, sans-serif;">hence ruin my previous
converged KSP result" mean? A
different answer at the end of the KSP
solve?</span>
<div><br>
</div>
<div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures">$ ./joe >
joe.basic</span></div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures">~/Src/petsc/src/ksp/ksp/tutorials</span><span
style="font-variant-ligatures: no-common-ligatures; color: #c814c9"><b>
(barry/2023-09-15/fix-log-pcmpi=)</b></span><span
style="font-variant-ligatures: no-common-ligatures"> arch-fix-log-pcmpi</span></div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures">$ ./joe -ksp_monitor
-ksp_converged_reason
-snes_monitor > joe.monitor</span></div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures">~/Src/petsc/src/ksp/ksp/tutorials</span><span
style="font-variant-ligatures: no-common-ligatures; color: #c814c9"><b>
(barry/2023-09-15/fix-log-pcmpi=)</b></span><span
style="font-variant-ligatures: no-common-ligatures"> arch-fix-log-pcmpi</span></div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures">$ diff joe.basic
joe.monitor </span></div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures">0a1,36</span></div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures">> 0 SNES
Function norm 6.041522986797e+00 </span></div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures">> 0 KSP
Residual norm 6.041522986797e+00 </span></div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures">> 1 KSP
Residual norm 5.065392549852e-16 </span></div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures">> Linear solve
converged due to
CONVERGED_RTOL_NORMAL iterations 1</span></div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures">> 1 SNES
Function norm 3.512662245652e+00 </span></div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures">> 0 KSP
Residual norm 3.512662245652e+00 </span></div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures">> 1 KSP
Residual norm 6.230314124713e-16 </span></div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures">> Linear solve
converged due to
CONVERGED_RTOL_NORMAL iterations 1</span></div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures">> 2 SNES
Function norm 8.969285922373e-01 </span></div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures">> 0 KSP
Residual norm 8.969285922373e-01 </span></div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures">> 1 KSP
Residual norm 0.000000000000e+00 </span></div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures">> Linear solve
converged due to
CONVERGED_RTOL_NORMAL iterations 1</span></div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures">> 3 SNES
Function norm 4.863816734540e-01 </span></div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures">> 0 KSP
Residual norm 4.863816734540e-01 </span></div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures">> 1 KSP
Residual norm 0.000000000000e+00 </span></div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures">> Linear solve
converged due to
CONVERGED_RTOL_NORMAL iterations 1</span></div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures">> 4 SNES
Function norm 3.512070785520e-01 </span></div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures">> 0 KSP
Residual norm 3.512070785520e-01 </span></div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures">> 1 KSP
Residual norm 0.000000000000e+00 </span></div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures">> Linear solve
converged due to
CONVERGED_RTOL_NORMAL iterations 1</span></div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures">> 5 SNES
Function norm 2.769700293115e-01 </span></div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures">> 0 KSP
Residual norm 2.769700293115e-01 </span></div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures">> 1 KSP
Residual norm 1.104778916974e-16 </span></div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures">> Linear solve
converged due to
CONVERGED_RTOL_NORMAL iterations 1</span></div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures">> 6 SNES
Function norm 2.055345318150e-01 </span></div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures">> 0 KSP
Residual norm 2.055345318150e-01 </span></div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures">> 1 KSP
Residual norm 1.535110861002e-17 </span></div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures">> Linear solve
converged due to
CONVERGED_RTOL_NORMAL iterations 1</span></div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures">> 7 SNES
Function norm 1.267482220786e-01 </span></div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures">> 0 KSP
Residual norm 1.267482220786e-01 </span></div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures">> 1 KSP
Residual norm 1.498679601680e-17 </span></div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures">> Linear solve
converged due to
CONVERGED_RTOL_NORMAL iterations 1</span></div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures">> 8 SNES
Function norm 3.468150619264e-02 </span></div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures">> 0 KSP
Residual norm 3.468150619264e-02 </span></div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures">> 1 KSP
Residual norm 5.944160522951e-18 </span></div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures">> Linear solve
converged due to
CONVERGED_RTOL_NORMAL iterations 1</span></div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures"><br>
</span></div>
<div
style="margin: 0px; font-style: normal; font-variant-caps: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: Menlo; font-size-adjust: none; font-kerning: auto; font-variant-alternates: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-position: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures"><br>
</span></div>
<div><br>
<blockquote type="cite">
<div>On Jan 30, 2024, at 11:19 AM,
Yi Hu <a
class="moz-txt-link-rfc2396E"
href="mailto:y.hu@mpie.de"
moz-do-not-send="true"><y.hu@mpie.de></a>
wrote:</div>
<br
class="Apple-interchange-newline">
<div>
<meta charset="UTF-8">
<div class="WordSection1"
style="page: WordSection1; caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none;">
<div
style="margin: 0in 0in 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;"><span
lang="EN-US">Dear PETSc
team,<o:p></o:p></span></div>
<div
style="margin: 0in 0in 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;"><span
lang="EN-US"><o:p> </o:p></span></div>
<div
style="margin: 0in 0in 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;"><span
lang="EN-US">I am still
trying to sort out my
previous thread<span
class="Apple-converted-space"> </span><a
href="https://lists.mcs.anl.gov/pipermail/petsc-users/2024-January/050079.html"
style="color: rgb(149, 79, 114); text-decoration: underline;"
moz-do-not-send="true"
class="moz-txt-link-freetext">https://lists.mcs.anl.gov/pipermail/petsc-users/2024-January/050079.html</a><span
class="Apple-converted-space"> </span>using a minimal working example.
However, I encountered
another problem. Basically
I combined the basic usage
of SNES solver and shell
matrix and tried to make
it work. The jacobian of
my snes is replaced by a
customized MATOP_MULT. The
minimal example code can
be viewed here<span
class="Apple-converted-space"> </span><a
href="https://github.com/hyharry/small_petsc_test/blob/master/test_shell_jac/ex1f.F90"
style="color: rgb(149, 79, 114); text-decoration: underline;"
moz-do-not-send="true"
class="moz-txt-link-freetext">https://github.com/hyharry/small_petsc_test/blob/master/test_shell_jac/ex1f.F90</a><o:p></o:p></span></div>
<div
style="margin: 0in 0in 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;"><span
lang="EN-US"><o:p> </o:p></span></div>
<div
style="margin: 0in 0in 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;"><span
lang="EN-US">When running
with -ksp_monitor
-ksp_converged_reason, it
shows an extra mymult
step, and hence ruin my
previous converged KSP
result. Implement a
customized converged
call-back also does not
help. I am wondering how
to skip this extra ksp
iteration. Could anyone
help me on this?<o:p></o:p></span></div>
<div
style="margin: 0in 0in 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;"><span
lang="EN-US"><o:p> </o:p></span></div>
<div
style="margin: 0in 0in 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;"><span
lang="EN-US">Thanks for
your help.<o:p></o:p></span></div>
<div
style="margin: 0in 0in 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;"><span
lang="EN-US"><o:p> </o:p></span></div>
<div
style="margin: 0in 0in 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;"><span
lang="EN-US">Best wishes,<o:p></o:p></span></div>
<div
style="margin: 0in 0in 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;"><span
lang="EN-US">Yi<o:p></o:p></span></div>
</div>
<br
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<br
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<hr
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<br
style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none;">
<span
style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; float: none; display: inline !important;">Max-Planck-Institut für Eisenforschung GmbH</span><br
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<span
style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; float: none; display: inline !important;">Max-Planck-Straße 1</span><br
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<span
style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; float: none; display: inline !important;">D-40237 Düsseldorf</span><br
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<span
style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; float: none; display: inline !important;"> </span><br
style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none;">
<span
style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; float: none; display: inline !important;">Handelsregister B 2533 </span><br
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<span
style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; float: none; display: inline !important;">Amtsgericht Düsseldorf</span><br
style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none;">
<span
style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; float: none; display: inline !important;"> </span><br
style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none;">
<span
style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; float: none; display: inline !important;">Geschäftsführung</span><br
style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none;">
<span
style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; float: none; display: inline !important;">Prof. Dr. Gerhard Dehm</span><br
style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none;">
<span
style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; float: none; display: inline !important;">Prof. Dr. Jörg Neugebauer</span><br
style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none;">
<span
style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; float: none; display: inline !important;">Prof. Dr. Dierk Raabe</span><br
style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none;">
<span
style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; float: none; display: inline !important;">Dr. Kai de Weldige</span><br
style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none;">
<span
style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; float: none; display: inline !important;"> </span><br
style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none;">
<span
style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; float: none; display: inline !important;">Ust.-Id.-Nr.: DE 11 93 58 514 </span><br
style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none;">
<span
style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; float: none; display: inline !important;">Steuernummer: 105 5891 1000</span><br
style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none;">
<br
style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none;">
<br
style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none;">
<span
style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; float: none; display: inline !important;">Please consider that invitations and e-mails of our institute are </span><br
style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none;">
<span
style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; float: none; display: inline !important;">only valid if they end with …@mpie.de. </span><br
style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none;">
<span
style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; float: none; display: inline !important;">If you are not sure of the validity please contact </span><a
href="mailto:rco@mpie.de"
style="color: rgb(149, 79, 114); text-decoration: underline; font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px;"
moz-do-not-send="true"
class="moz-txt-link-freetext">rco@mpie.de</a><br
style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none;">
<br
style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none;">
<span
style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; float: none; display: inline !important;">Bitte beachten Sie, dass Einladungen zu Veranstaltungen und E-Mails</span><br
style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none;">
<span
style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; float: none; display: inline !important;">aus unserem Haus nur mit der Endung …@mpie.de gültig sind. </span><br
style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none;">
<span
style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; float: none; display: inline !important;">In Zweifelsfällen wenden Sie sich bitte an </span><a
href="mailto:rco@mpie.de"
style="color: rgb(149, 79, 114); text-decoration: underline; font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px;"
moz-do-not-send="true"
class="moz-txt-link-freetext">rco@mpie.de</a><br
style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none;">
<span
style="caret-color: rgb(0, 0, 0); font-family: Helvetica; font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; float: none; display: inline !important;">-------------------------------------------------</span></div>
</blockquote>
</div>
<br>
</div>
</blockquote>
<br>
<br>
<hr>
-------------------------------------------------<br>
Stay up to date and follow us on LinkedIn, Twitter and YouTube.<br>
<br>
Max-Planck-Institut für Eisenforschung GmbH<br>
Max-Planck-Straße 1<br>
D-40237 Düsseldorf<br>
<br>
Handelsregister B 2533 <br>
Amtsgericht Düsseldorf<br>
<br>
Geschäftsführung<br>
Prof. Dr. Gerhard Dehm<br>
Prof. Dr. Jörg Neugebauer<br>
Prof. Dr. Dierk Raabe<br>
Dr. Kai de Weldige<br>
<br>
Ust.-Id.-Nr.: DE 11 93 58 514 <br>
Steuernummer: 105 5891 1000<br>
<br>
<br>
Please consider that invitations and e-mails of our institute are <br>
only valid if they end with …@mpie.de. <br>
If you are not sure of the validity please contact <a
class="moz-txt-link-abbreviated moz-txt-link-freetext"
href="mailto:rco@mpie.de"
moz-do-not-send="true">rco@mpie.de</a><br>
<br>
Bitte beachten Sie, dass Einladungen zu Veranstaltungen und E-Mails<br>
aus unserem Haus nur mit der Endung …@mpie.de gültig sind. <br>
In Zweifelsfällen wenden Sie sich bitte an <a
class="moz-txt-link-abbreviated moz-txt-link-freetext"
href="mailto:rco@mpie.de"
moz-do-not-send="true">rco@mpie.de</a><br>
-------------------------------------------------<br>
</div>
</div>
</blockquote>
</div>
<br>
</div>
</div>
</blockquote>
<br>
<br>
<hr>
-------------------------------------------------<br>
Stay up to date and follow us on LinkedIn, Twitter and YouTube.<br>
<br>
Max-Planck-Institut für Eisenforschung GmbH<br>
Max-Planck-Straße 1<br>
D-40237 Düsseldorf<br>
<br>
Handelsregister B 2533 <br>
Amtsgericht Düsseldorf<br>
<br>
Geschäftsführung<br>
Prof. Dr. Gerhard Dehm<br>
Prof. Dr. Jörg Neugebauer<br>
Prof. Dr. Dierk Raabe<br>
Dr. Kai de Weldige<br>
<br>
Ust.-Id.-Nr.: DE 11 93 58 514 <br>
Steuernummer: 105 5891 1000<br>
<br>
<br>
Please consider that invitations and e-mails of our institute are <br>
only valid if they end with …@mpie.de. <br>
If you are not sure of the validity please contact <a class="moz-txt-link-abbreviated" href="mailto:rco@mpie.de">rco@mpie.de</a><br>
<br>
Bitte beachten Sie, dass Einladungen zu Veranstaltungen und E-Mails<br>
aus unserem Haus nur mit der Endung …@mpie.de gültig sind. <br>
In Zweifelsfällen wenden Sie sich bitte an <a class="moz-txt-link-abbreviated" href="mailto:rco@mpie.de">rco@mpie.de</a><br>
-------------------------------------------------<br>
</div>
</div>
</blockquote>
</div>
<br>
</div>
</blockquote>
<BR />
<BR />
<HR />
-------------------------------------------------<BR />
Stay up to date and follow us on LinkedIn, Twitter and YouTube.<BR />
<BR />
Max-Planck-Institut für Eisenforschung GmbH<BR />
Max-Planck-Straße 1<BR />
D-40237 Düsseldorf<BR />
<BR />
Handelsregister B 2533 <BR />
Amtsgericht Düsseldorf<BR />
<BR />
Geschäftsführung<BR />
Prof. Dr. Gerhard Dehm<BR />
Prof. Dr. Jörg Neugebauer<BR />
Prof. Dr. Dierk Raabe<BR />
Dr. Kai de Weldige<BR />
<BR />
Ust.-Id.-Nr.: DE 11 93 58 514 <BR />
Steuernummer: 105 5891 1000<BR />
<BR />
<BR />
Please consider that invitations and e-mails of our institute are <BR />
only valid if they end with …@mpie.de. <BR />
If you are not sure of the validity please contact rco@mpie.de<BR />
<BR />
Bitte beachten Sie, dass Einladungen zu Veranstaltungen und E-Mails<BR />
aus unserem Haus nur mit der Endung …@mpie.de gültig sind. <BR />
In Zweifelsfällen wenden Sie sich bitte an rco@mpie.de<BR />
-------------------------------------------------<BR />
</body>
</html>