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On Mar 10, 2024, at 10: 16 AM, Yi Hu <y. hu@ mpie. de> wrote:
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<meta http-equiv="content-type" content="text/html; charset=utf-8"></head><body style="overflow-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><br id="lineBreakAtBeginningOfMessage"><div><br><blockquote type="cite"><div>On Mar 10, 2024, at 10:16 AM, Yi Hu <y.hu@mpie.de> wrote:</div><br class="Apple-interchange-newline"><div><meta charset="UTF-8"><div dir="ltr" id="pfptBannercw8qp5q" style="color-scheme: revert !important; writing-mode: revert !important; -webkit-ruby-position: revert !important; color: revert !important; font-family: revert !important; font-feature-settings: revert !important; font-kerning: revert !important; font-optical-sizing: revert !important; font-palette: revert !important; font-size: revert !important; font-size-adjust: revert !important; font-stretch: revert !important; font-style: revert !important; font-synthesis-small-caps: revert !important; font-synthesis-style: revert !important; font-synthesis-weight: revert !important; font-variant-alternates: revert !important; 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math-style: unset !important; mix-blend-mode: unset !important; object-fit: unset !important; object-position: unset !important; offset-anchor: unset !important; offset-distance: unset !important; offset-path: unset !important; offset-position: unset !important; offset-rotate: unset !important; order: unset !important; orphans: unset !important; outline: unset !important; outline-offset: unset !important; overflow-wrap: unset !important; overflow: unset !important; page: unset !important; paint-order: unset !important; perspective: unset !important; perspective-origin: unset !important; pointer-events: unset !important; position: unset !important; print-color-adjust: unset !important; quotes: unset !important; r: unset !important; resize: unset !important; rotate: unset !important; row-gap: unset !important; rx: unset !important; ry: unset !important; scale: unset !important; scroll-behavior: unset !important; scroll-snap-align: unset !important; scroll-snap-stop: unset !important; scroll-snap-type: unset !important; 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text-emphasis-style: unset !important; text-indent: unset !important; text-overflow: unset !important; text-shadow: unset !important; text-transform: unset !important; text-underline-offset: unset !important; text-underline-position: unset !important; white-space: unset !important; touch-action: unset !important; transform: unset !important; transform-box: unset !important; transform-origin: unset !important; transform-style: unset !important; transition: unset !important; translate: unset !important; vector-effect: unset !important; vertical-align: unset !important; widows: unset !important; will-change: unset !important; word-break: unset !important; word-spacing: unset !important; x: unset !important; y: unset !important; z-index: unset !important; -apple-color-filter: unset !important; -apple-pay-button-style: unset !important; -apple-pay-button-type: unset !important; -webkit-backdrop-filter: unset !important; border-spacing: unset !important; -webkit-box-align: unset !important; 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-webkit-text-fill-color: unset !important; -webkit-text-security: unset !important; -webkit-text-stroke-color: unset !important; -webkit-text-stroke-width: unset !important; -webkit-user-drag: unset !important; -webkit-user-modify: unset !important; -webkit-user-select: unset !important; background-clip: unset !important; background-origin: unset !important; box-shadow: unset !important; mask-composite: unset !important; mask-mode: unset !important; text-combine-upright: unset !important; -webkit-background-clip: unset !important; -webkit-background-origin: unset !important; -webkit-box-shadow: unset !important; mask-size: unset !important; -webkit-mask: unset !important; -webkit-mask-composite: unset !important; -webkit-mask-source-type: unset !important; -webkit-text-combine: unset !important; display: block !important; visibility: visible !important; opacity: unset !important; background-color: rgb(208, 216, 220) !important; block-size: unset !important; border-block: unset !important; border-radius: unset !important; border-end-end-radius: unset !important; border-end-start-radius: unset !important; border-inline: unset !important; border-start-end-radius: unset !important; border-start-start-radius: unset !important; inset: unset !important; contain-intrinsic-block-size: unset !important; contain-intrinsic-size: unset !important; contain-intrinsic-inline-size: unset !important; height: unset !important; inline-size: unset !important; inset-block: unset !important; inset-inline: unset !important; margin-block: unset !important; margin: unset !important; margin-inline: unset !important; max-block-size: unset !important; max-height: unset !important; max-inline-size: unset !important; max-width: unset !important; min-block-size: unset !important; min-height: unset !important; min-inline-size: unset !important; min-width: unset !important; overscroll-behavior-block: unset !important; overscroll-behavior-inline: unset !important; overscroll-behavior: unset !important; padding-block: unset !important; padding: unset !important; padding-inline: unset !important; scroll-margin-block: unset !important; scroll-margin: unset !important; scroll-margin-inline: unset !important; scroll-padding-block: unset !important; scroll-padding: unset !important; scroll-padding-inline: unset !important; width: unset !important;">This Message Is From an External Sender</div><div id="pfptBannercw8qp5q" style="color-scheme: unset !important; writing-mode: unset !important; -webkit-ruby-position: unset !important; font-family: Arial, sans-serif !important; font-feature-settings: unset !important; font-kerning: unset !important; font-optical-sizing: unset !important; font-palette: unset !important; font-size: 12px !important; font-size-adjust: unset !important; font-stretch: unset !important; font-style: unset !important; font-synthesis-small-caps: unset !important; font-synthesis-style: unset !important; font-synthesis-weight: unset !important; font-variant-alternates: unset !important; font-variant-caps: unset !important; font-variant-east-asian: unset !important; font-variant-ligatures: unset !important; font-variant-numeric: unset !important; font-variant-position: unset !important; font-variation-settings: unset !important; font-weight: unset !important; text-orientation: unset !important; text-rendering: unset !important; zoom: unset !important; -webkit-font-smoothing: unset !important; -webkit-locale: unset !important; -webkit-text-zoom: unset !important; letter-spacing: unset !important; accent-color: unset !important; align-content: unset !important; align-items: unset !important; align-self: unset !important; alignment-baseline: unset !important; alt: unset !important; animation-composition: unset !important; animation: unset !important; appearance: unset !important; aspect-ratio: unset !important; backface-visibility: unset !important; background-attachment: unset !important; background-blend-mode: unset !important; background-image: unset !important; background-position: unset !important; background-repeat: unset !important; background-size: unset !important; baseline-shift: unset !important; border-collapse: unset !important; border: unset !important; box-sizing: unset !important; break-after: unset !important; break-before: unset !important; break-inside: unset !important; buffered-rendering: unset !important; caption-side: unset !important; caret-color: unset !important; clear: unset !important; clip: unset !important; clip-path: unset !important; clip-rule: unset !important; color-interpolation: unset !important; color-interpolation-filters: unset !important; column-count: unset !important; column-fill: unset !important; column-gap: unset !important; column-rule-color: unset !important; column-rule-style: unset !important; column-rule-width: unset !important; column-span: unset !important; column-width: unset !important; contain: unset !important; container-name: unset !important; container-type: unset !important; content: unset !important; counter-increment: unset !important; counter-reset: unset !important; 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rotate: unset !important; row-gap: unset !important; rx: unset !important; ry: unset !important; scale: unset !important; scroll-behavior: unset !important; scroll-snap-align: unset !important; scroll-snap-stop: unset !important; scroll-snap-type: unset !important; shape-image-threshold: unset !important; shape-margin: unset !important; shape-outside: unset !important; shape-rendering: unset !important; size: unset !important; speak-as: unset !important; stop-color: unset !important; stop-opacity: unset !important; stroke: unset !important; stroke-color: unset !important; stroke-dasharray: unset !important; stroke-dashoffset: unset !important; stroke-linecap: unset !important; stroke-linejoin: unset !important; stroke-miterlimit: unset !important; stroke-opacity: unset !important; stroke-width: unset !important; tab-size: unset !important; table-layout: unset !important; text-align: unset !important; text-align-last: unset !important; text-anchor: unset !important; text-decoration-color: unset !important; text-decoration: unset !important; text-decoration-skip-ink: unset !important; text-decoration-style: unset !important; text-decoration-thickness: unset !important; text-emphasis-color: unset !important; text-emphasis-position: unset !important; text-emphasis-style: unset !important; text-indent: unset !important; text-overflow: unset !important; text-shadow: unset !important; text-transform: unset !important; text-underline-offset: unset !important; text-underline-position: unset !important; white-space: unset !important; touch-action: unset !important; transform: unset !important; transform-box: unset !important; transform-origin: unset !important; transform-style: unset !important; transition: unset !important; translate: unset !important; vector-effect: unset !important; vertical-align: unset !important; widows: unset !important; will-change: unset !important; word-break: unset !important; word-spacing: unset !important; x: unset !important; y: unset !important; z-index: unset !important; -apple-color-filter: unset !important; -apple-pay-button-style: unset !important; -apple-pay-button-type: unset !important; -webkit-backdrop-filter: unset !important; border-spacing: unset !important; -webkit-box-align: unset !important; -webkit-box-decoration-break: unset !important; -webkit-box-direction: unset !important; -webkit-box-flex: unset !important; -webkit-box-flex-group: unset !important; -webkit-box-lines: unset !important; -webkit-box-ordinal-group: unset !important; -webkit-box-orient: unset !important; -webkit-box-pack: unset !important; -webkit-box-reflect: unset !important; -webkit-column-axis: unset !important; -webkit-column-progression: unset !important; -webkit-cursor-visibility: unset !important; -webkit-hyphenate-limit-after: unset !important; -webkit-hyphenate-limit-before: unset !important; -webkit-hyphenate-limit-lines: unset !important; -webkit-initial-letter: unset !important; -webkit-line-align: unset !important; -webkit-line-box-contain: unset !important; -webkit-line-clamp: unset !important; -webkit-line-grid: unset !important; -webkit-line-snap: unset !important; -webkit-nbsp-mode: unset !important; -webkit-rtl-ordering: unset !important; -webkit-text-decorations-in-effect: unset !important; -webkit-text-fill-color: unset !important; -webkit-text-security: unset !important; -webkit-text-stroke-color: unset !important; -webkit-text-stroke-width: unset !important; -webkit-user-drag: unset !important; -webkit-user-modify: unset !important; -webkit-user-select: unset !important; background-clip: unset !important; background-origin: unset !important; box-shadow: unset !important; mask-composite: unset !important; mask-mode: unset !important; text-combine-upright: unset !important; -webkit-background-clip: unset !important; -webkit-background-origin: unset !important; -webkit-box-shadow: unset !important; mask-size: unset !important; -webkit-mask: unset !important; -webkit-mask-composite: unset !important; -webkit-mask-source-type: unset !important; -webkit-text-combine: unset !important; display: block !important; visibility: visible !important; opacity: unset !important; background-color: rgb(208, 216, 220) !important; block-size: unset !important; border-block: unset !important; border-radius: unset !important; border-end-end-radius: unset !important; border-end-start-radius: unset !important; border-inline: unset !important; border-start-end-radius: unset !important; border-start-start-radius: unset !important; inset: unset !important; contain-intrinsic-block-size: unset !important; contain-intrinsic-size: unset !important; contain-intrinsic-inline-size: unset !important; height: unset !important; inline-size: unset !important; inset-block: unset !important; inset-inline: unset !important; margin-block: unset !important; margin-bottom: unset !important; margin-inline: unset !important; margin-left: unset !important; margin-right: unset !important; max-block-size: unset !important; max-height: unset !important; max-inline-size: unset !important; max-width: unset !important; min-block-size: unset !important; min-height: unset !important; min-inline-size: unset !important; min-width: unset !important; overscroll-behavior-block: unset !important; overscroll-behavior-inline: unset !important; overscroll-behavior: unset !important; padding-block: unset !important; padding: unset !important; padding-inline: unset !important; scroll-margin-block: unset !important; scroll-margin: unset !important; scroll-margin-inline: unset !important; scroll-padding-block: unset !important; scroll-padding: unset !important; scroll-padding-inline: unset !important; width: unset !important; margin-top: 2px !important;">This message came from outside your organization.</div></div><div style="height: 0px; clear: both !important; display: block !important; visibility: hidden !important; line-height: 0 !important; font-size: 0.01px !important;"></div></div><p 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;">Dear Mark,</p><p 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;">Thanks for your reply. I see this mismatch. In fact my global DoF is 324. It seems like I always get the local size = global Dof / np^2, np is my processor number. By the way, I used DMDASNESsetFunctionLocal() to set my form function. Is it eligible to mix DMDASNESsetFunctionLocal() and a native SNESSetJacobian()?</p></div></blockquote><div><br></div>Yes</div><div><br><blockquote type="cite"><div><p 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;">Best,</p><p 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;">Yi<br></p><div class="moz-cite-prefix" 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;">On 3/10/24 13:55, Mark Adams wrote:<br></div><blockquote type="cite" cite="mid:CADOhEh4G4PU5WwW+uqBnJ0EyD+PgaiY7CrF2SNkyZQ0wNx1LyQ@mail.gmail.com" style="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; text-decoration: none;"><div dir="ltr"><div dir="ltr"><pre style="font-size: 17.8px; font-family: sans-serif;">It looks like your input vector is the global vector, size 162, and the local matrix size is 81.</pre><pre style="font-size: 17.8px; font-family: sans-serif;">Mark</pre><pre style="font-size: 17.8px; font-family: sans-serif;">[1]PETSC ERROR: Preconditioner number of local rows 81 does not equal
input vector size 162</pre></div><br><div class="gmail_quote"><div dir="ltr" class="gmail_attr">On Sun, Mar 10, 2024 at 7:21 AM Yi Hu <<a href="mailto:y.hu@mpie.de" moz-do-not-send="true" class="moz-txt-link-freetext">y.hu@mpie.de</a>> wrote:<br></div><blockquote class="gmail_quote" style="margin: 0px 0px 0px 0.8ex; border-left-width: 1px; border-left-style: solid; border-left-color: rgb(204, 204, 204); padding-left: 1ex;"><div class="msg-4788138792073467353"><div dir="ltr" id="m_-4788138792073467353pfptBanner2satfg2" style="display: block; text-align: left; margin: 16px 0px; padding: 8px 16px; border-radius: 4px; min-width: 200px; background-color: rgb(208, 216, 220); border-top-width: 4px; border-top-style: solid; border-top-color: rgb(144, 164, 174);"><div id="m_-4788138792073467353pfptBanner2satfg2" style="float: left; display: block; margin: 0px 0px 1px; max-width: 600px;"><div id="m_-4788138792073467353pfptBanner2satfg2" style="display: block; background-color: rgb(208, 216, 220); font-family: Arial, sans-serif; font-weight: bold; font-size: 14px; line-height: 18px;">This Message Is From an External Sender<span class="Apple-converted-space"> </span></div><div id="m_-4788138792073467353pfptBanner2satfg2" style="font-weight: normal; display: block; background-color: rgb(208, 216, 220); font-family: Arial, sans-serif; font-size: 12px; line-height: 18px; margin-top: 2px;">This message came from outside your organization.<span class="Apple-converted-space"> </span></div></div><div style="height: 0px; clear: both; display: block; line-height: 0; font-size: 0.01px;"> </div></div><div><pre style="font-family: sans-serif; font-size: 18px; white-space: pre-wrap;">Dear petsc team,
I implemented a matrix-free jacobian, and it can run sequentially. But
running parallel I got the pc error like this (running with mpirun -np
2, only error from rank1 is presented here)
[1]PETSC ERROR: --------------------- Error Message
--------------------------------------------------------------
[1]PETSC ERROR: Nonconforming object sizes
[1]PETSC ERROR: Preconditioner number of local rows 81 does not equal
input vector size 162
[1]PETSC ERROR: See <a href="https://urldefense.us/v3/__https://petsc.org/release/faq/__;!!G_uCfscf7eWS!ahmistzr4wD3TJ0OvI0JWxB9aVSIbP78Jcs2X_6KMb4LdoR8drLB_DkHvaguhrca22RgFer0PlyUrtdfCA$" target="_blank" moz-do-not-send="true" class="moz-txt-link-freetext">https://urldefense.us/v3/__https://petsc.org/release/faq/__;!!G_uCfscf7eWS!ahmistzr4wD3TJ0OvI0JWxB9aVSIbP78Jcs2X_6KMb4LdoR8drLB_DkHvaguhrca22RgFer0PlyUrtdfCA$</a> for trouble shooting.
[1]PETSC ERROR: Petsc Release Version 3.17.3, Jun 29, 2022
[1]PETSC ERROR: /home/yi/workspace/DAMASK_yi/bin/DAMASK_grid on a
arch-linux-c-opt named carbon-x1 by yi Sun Mar 10 12:01:46 2024
[1]PETSC ERROR: Configure options --download-fftw --download-hdf5
--with-hdf5-fortran-bindings --download-fblaslapack --download-chaco
--download-hypre --download-metis --download-mumps --download-parmetis
--download-scalapack --download-suitesparse --download-superlu
--download-superlu_dist --download-triangle --download-zlib
--download-cmake --with-cxx-dialect=C++11 --with-c2html=0
--with-debugging=0 --with-ssl=0 --with-x=0 COPTFLAGS=-O3 CXXOPTFLAGS=-O3
FOPTFLAGS=-O3
[1]PETSC ERROR: #1 PCApply() at
/home/yi/App/petsc-3.17.3/src/ksp/pc/interface/precon.c:424
[1]PETSC ERROR: #2 KSP_PCApply() at
/home/yi/App/petsc-3.17.3/include/petsc/private/kspimpl.h:376
[1]PETSC ERROR: #3 KSPInitialResidual() at
/home/yi/App/petsc-3.17.3/src/ksp/ksp/interface/itres.c:64
[1]PETSC ERROR: #4 KSPSolve_GMRES() at
/home/yi/App/petsc-3.17.3/src/ksp/ksp/impls/gmres/gmres.c:242
[1]PETSC ERROR: #5 KSPSolve_Private() at
/home/yi/App/petsc-3.17.3/src/ksp/ksp/interface/itfunc.c:902
[1]PETSC ERROR: #6 KSPSolve() at
/home/yi/App/petsc-3.17.3/src/ksp/ksp/interface/itfunc.c:1078
[1]PETSC ERROR: #7 SNESSolve_NEWTONLS() at
/home/yi/App/petsc-3.17.3/src/snes/impls/ls/ls.c:222
[1]PETSC ERROR: #8 SNESSolve() at
/home/yi/App/petsc-3.17.3/src/snes/interface/snes.c:4756
[1]PETSC ERROR: #9 User provided function() at User <a class="moz-txt-link-freetext" href="file:///0">file:0</a>
However, from snes matrix-free documentation
(<a href="https://urldefense.us/v3/__https://petsc.org/release/manual/snes/*matrix-free-methods__;Iw!!G_uCfscf7eWS!ahmistzr4wD3TJ0OvI0JWxB9aVSIbP78Jcs2X_6KMb4LdoR8drLB_DkHvaguhrca22RgFer0Ply6ZbywOw$" target="_blank" moz-do-not-send="true" class="moz-txt-link-freetext">https://urldefense.us/v3/__https://petsc.org/release/manual/snes/*matrix-free-methods__;Iw!!G_uCfscf7eWS!ahmistzr4wD3TJ0OvI0JWxB9aVSIbP78Jcs2X_6KMb4LdoR8drLB_DkHvaguhrca22RgFer0Ply6ZbywOw$</a>), it is said
matrix-free is used with pcnone. So I assume it would not apply
preconditioner, but it did use preconditioning probably the same as my
matrix-free shell matrix. Here is how i initialize my shell matrix and
the corresponding customized multiplication.
call MatCreateShell(PETSC_COMM_WORLD,PETSC_DECIDE,PETSC_DECIDE,&
int(9*product(cells(1:2))*cells3,pPETSCINT),&
int(9*product(cells(1:2))*cells3,pPETSCINT),&
F_PETSc,Jac_PETSc,err_PETSc)
call MatShellSetOperation(Jac_PETSc,MATOP_MULT,GK_op,err_PETSc)
call SNESSetDM(SNES_mech,DM_mech,err_PETSc)
call
SNESSetJacobian(SNES_mech,Jac_PETSc,Jac_PETSc,PETSC_NULL_FUNCTION,0,err_PETSc)
call SNESGetKSP(SNES_mech,ksp,err_PETSc)
call PCSetType(pc,PCNONE,err_PETSc)
And my GK_op is like
subroutine GK_op(Jac,dF_global,output_local,err_PETSc)
DM :: dm_local
Vec :: dF_global, dF_local, output_local
Mat :: Jac
PetscErrorCode :: err_PETSc
real(pREAL), pointer,dimension(:,:,:,:) :: dF_scal, output_scal
real(pREAL), dimension(3,3,cells(1),cells(2),cells3) :: &
dF
real(pREAL), dimension(3,3,cells(1),cells(2),cells3) :: &
output
call SNESGetDM(SNES_mech,dm_local,err_PETSc)
call DMGetLocalVector(dm_local,dF_local,err_PETSc)
call
DMGlobalToLocalBegin(dm_local,dF_global,INSERT_VALUES,dF_local,err_PETSc)
call
DMGlobalToLocalEnd(dm_local,dF_global,INSERT_VALUES,dF_local,err_PETSc)
call DMDAVecGetArrayReadF90(dm_local,dF_local,dF_scal,err_PETSc)
dF = reshape(dF_scal, [3,3,cells(1),cells(2),cells3])
.......
call DMDAVecRestoreArrayF90(dm_local,output_local,output_scal,err_PETSc)
CHKERRQ(err_PETSc)
call DMDAVecRestoreArrayF90(dm_local,dF_local,dF_scal,err_PETSc)
CHKERRQ(err_PETSc)
end subroutine GK_op
I checked my cells3, it corresponds to my local size, and it seems the
local size of dF_local is ok.
I am a bit lost here to find the reason for the preconditioner bug.
Could you help me on this? Thanks.
Best regards,
Yi
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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="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;">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="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;">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></body></html>