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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">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>
<p
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-variant-emoji: 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></p>
<p
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-variant-emoji: 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></p>
<p
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-variant-emoji: 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></p>
<p
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-variant-emoji: 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></p>
<p
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-variant-emoji: 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></p>
<p
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-variant-emoji: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures">0a1,36</span></p>
<p
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-variant-emoji: 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></p>
<p
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-variant-emoji: 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></p>
<p
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-variant-emoji: 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></p>
<p
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-variant-emoji: 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></p>
<p
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-variant-emoji: 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></p>
<p
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-variant-emoji: 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></p>
<p
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-variant-emoji: 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></p>
<p
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-variant-emoji: 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></p>
<p
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-variant-emoji: 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></p>
<p
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-variant-emoji: 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></p>
<p
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-variant-emoji: 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></p>
<p
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-variant-emoji: 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></p>
<p
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-variant-emoji: 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></p>
<p
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-variant-emoji: 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></p>
<p
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-variant-emoji: 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></p>
<p
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-variant-emoji: 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></p>
<p
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-variant-emoji: 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></p>
<p
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-variant-emoji: 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></p>
<p
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-variant-emoji: 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></p>
<p
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-variant-emoji: 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></p>
<p
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-variant-emoji: 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></p>
<p
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-variant-emoji: 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></p>
<p
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-variant-emoji: 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></p>
<p
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-variant-emoji: 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></p>
<p
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-variant-emoji: 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></p>
<p
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-variant-emoji: 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></p>
<p
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-variant-emoji: 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></p>
<p
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-variant-emoji: 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></p>
<p
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-variant-emoji: 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></p>
<p
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-variant-emoji: 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></p>
<p
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-variant-emoji: 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></p>
<p
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-variant-emoji: 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></p>
<p
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-variant-emoji: 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></p>
<p
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-variant-emoji: 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></p>
<p
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-variant-emoji: 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></p>
<p
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-variant-emoji: 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></p>
<p
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-variant-emoji: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures"><br>
</span></p>
<p
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-variant-emoji: normal; font-feature-settings: normal; font-optical-sizing: auto; font-variation-settings: normal;"><span
style="font-variant-ligatures: no-common-ligatures"><br>
</span></p>
<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"><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>
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<span
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<span
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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;">Geschäftsführung</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;">Prof. Dr. Gerhard Dehm</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;">Prof. Dr. Jörg Neugebauer</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;">Prof. Dr. Dierk Raabe</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;">Dr. Kai de Weldige</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;">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 />
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<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 />
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