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    Because usally this code is called just once. It runs one multiple
    processes, but there it's still always processing the whole domain.
    I can't run it on only one subdomain. As I understand it now, when I
    call it from PETSc, this call is issued once per process, so I would
    end up running several contesting instances of the computation on
    the whole domain.<br>
    <br>
    But maybe that's only because I haven't completly understood how MPI
    really works in such cases...<br>
    <br>
    Kind regards,<br>
    Michael<br>
    <br>
    <div class="moz-cite-prefix">Am 17.10.2017 um 11:50 schrieb Matthew
      Knepley:<br>
    </div>
    <blockquote type="cite"
cite="mid:CAMYG4Gnid1RSZ2z8-Z=y8YrkDjXBpYbM0GXjg_g71JLyvObcTA@mail.gmail.com">
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          <div class="gmail_quote">On Tue, Oct 17, 2017 at 5:46 AM,
            Michael Werner <span dir="ltr"><<a
                href="mailto:michael.werner@dlr.de" target="_blank"
                moz-do-not-send="true">michael.werner@dlr.de</a>></span>
            wrote:<br>
            <blockquote class="gmail_quote" style="margin:0px 0px 0px
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              <div bgcolor="#FFFFFF"> I'm not sure what you mean with
                this question?<br>
                The external CFD code, if that was what you referred to,
                can be run in parallel.<br>
              </div>
            </blockquote>
            <div><br>
            </div>
            <div>Then why is it a problem that "in a parallel case, this
              call obviously gets called once per process"?</div>
            <div><br>
            </div>
            <div>   Matt</div>
            <div> </div>
            <blockquote class="gmail_quote" style="margin:0px 0px 0px
              0.8ex;border-left:1px solid
              rgb(204,204,204);padding-left:1ex">
              <div bgcolor="#FFFFFF">
                <div class="gmail-m_-6501336469052660476moz-cite-prefix">Am
                  17.10.2017 um 11:11 schrieb Matthew Knepley:<br>
                </div>
                <blockquote type="cite">
                  <div dir="ltr">
                    <div class="gmail_extra">
                      <div class="gmail_quote">On Tue, Oct 17, 2017 at
                        4:21 AM, Michael Werner <span dir="ltr"><<a
                            href="mailto:michael.werner@dlr.de"
                            target="_blank" moz-do-not-send="true">michael.werner@dlr.de</a>></span>
                        wrote:<br>
                        <blockquote class="gmail_quote"
                          style="margin:0px 0px 0px
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                          <div bgcolor="#FFFFFF"> That's something I'm
                            still struggling with. In the serial case, I
                            can simply extract the values from the
                            original grid, and since the ordering of the
                            Jacobian is the same there is no problem. In
                            the parallel case this is still a more or
                            less open question. That's why I thought
                            about reordering the Jacobian. As long as
                            the position of the individual IDs is the
                            same for both, I don't have to care about
                            their absolute position.<br>
                            <br>
                            I also wanted to thank you for your previous
                            answer, it seems that the application
                            ordering might be what I'm looking for.
                            However, in the meantime I stumbled about
                            another problem, that I have to solve first.
                            My new problem is, that I call the external
                            code within the shell matrix' multiply call.
                            But in a parallel case, this call obviously
                            gets called once per process. So right now
                            I'm trying to circumvent this, so it might
                            take a while before I'm able to come back to
                            the original problem...<br>
                          </div>
                        </blockquote>
                        <div><br>
                        </div>
                        <div>I am not understanding. Is your original
                          code parallel?</div>
                        <div><br>
                        </div>
                        <div>  Thanks,</div>
                        <div><br>
                        </div>
                        <div>     Matt</div>
                        <div> </div>
                        <blockquote class="gmail_quote"
                          style="margin:0px 0px 0px
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                          <div bgcolor="#FFFFFF"> Kind regards,<br>
                            Michael<br>
                            <br>
                            <div
class="gmail-m_-6501336469052660476m_-5791166958946276202moz-cite-prefix">Am
                              16.10.2017 um 17:25 schrieb Praveen C:<br>
                            </div>
                            <blockquote type="cite">
                              <div dir="ltr">I am interested to learn
                                more about how this works. How are the
                                vectors created if the ids are not
                                contiguous in a partition ?
                                <div><br>
                                </div>
                                <div>Thanks</div>
                                <div>praveen</div>
                              </div>
                              <div class="gmail_extra"><br>
                                <div class="gmail_quote">On Mon, Oct 16,
                                  2017 at 2:02 PM, Stefano Zampini <span
                                    dir="ltr"><<a
                                      href="mailto:stefano.zampini@gmail.com"
                                      target="_blank"
                                      moz-do-not-send="true">stefano.zampini@gmail.com</a>></span>
                                  wrote:<br>
                                  <blockquote class="gmail_quote"
                                    style="margin:0px 0px 0px
                                    0.8ex;border-left:1px solid
                                    rgb(204,204,204);padding-left:1ex">
                                    <div dir="ltr"><br>
                                      <div class="gmail_extra"><br>
                                        <div class="gmail_quote">
                                          <div>
                                            <div
                                              class="gmail-m_-6501336469052660476m_-5791166958946276202h5">2017-10-16
                                              10:26 GMT+03:00 Michael
                                              Werner <span dir="ltr"><<a
href="mailto:michael.werner@dlr.de" target="_blank"
                                                  moz-do-not-send="true">michael.werner@dlr.de</a>></span>:<br>
                                              <blockquote
                                                class="gmail_quote"
                                                style="margin:0px 0px
                                                0px
                                                0.8ex;border-left:1px
                                                solid
                                                rgb(204,204,204);padding-left:1ex">Hello,<br>
                                                <br>
                                                I'm having trouble with
                                                parallelizing a
                                                matrix-free code with
                                                PETSc. In this code, I
                                                use an external CFD code
                                                to provide the
                                                matrix-vector product
                                                for an iterative solver
                                                in PETSc. To increase
                                                convergence rate, I'm
                                                using an explicitly
                                                stored Jacobian matrix
                                                to precondition the
                                                solver. This works fine
                                                for serial runs.
                                                However, when I try to
                                                use multiple processes,
                                                I face the problem that
                                                PETSc decomposes the
                                                preconditioner matrix,
                                                and probably also the
                                                shell matrix, in a
                                                different way than the
                                                external CFD code
                                                decomposes the grid.<br>
                                                <br>
                                                The Jacobian matrix is
                                                built in a way, that its
                                                rows and columns
                                                correspond to the global
                                                IDs of the individual
                                                points in my CFD mesh<br>
                                                <br>
                                                The CFD code decomposes
                                                the domain based on the
                                                proximity of points to
                                                each other, so that the
                                                resulting subgrids are
                                                coherent. However, since
                                                its an unstructured
                                                grid, those subgrids are
                                                not necessarily made up
                                                of points with
                                                successive global IDs.
                                                This is a problem, since
                                                PETSc seems to partition
                                                the matrix in  coherent
                                                slices.<br>
                                                <br>
                                                I'm not sure what the
                                                best approach to this
                                                problem might be. Is it
                                                maybe possible to
                                                exactly tell PETSc,
                                                which rows/columns it
                                                should assign to the
                                                individual processes?<br>
                                                <br>
                                              </blockquote>
                                              <div><br>
                                              </div>
                                            </div>
                                          </div>
                                          <div>If you are explicitly
                                            setting the values in your
                                            Jacobians via
                                            MatSetValues(), you can
                                            create a
                                            ISLocalToGlobalMapping </div>
                                          <div><br>
                                          </div>
                                          <div><a
href="http://www.mcs.anl.gov/petsc/petsc-current/docs/manualpages/IS/ISLocalToGlobalMappingCreate.html"
                                              target="_blank"
                                              moz-do-not-send="true">http://www.mcs.anl.gov/petsc/p<wbr>etsc-current/docs/manualpages/<wbr>IS/ISLocalToGlobalMappingCreat<wbr>e.html</a></div>
                                          <div><br>
                                          </div>
                                          <div>that maps the numbering
                                            you use for the Jacobians to
                                            their counterpart in the CFD
                                            ordering, then call
                                            MatSetLocalToGlobalMapping
                                            and then use
                                            MatSetValuesLocal with the
                                            same arguments you are
                                            calling MatSetValues now.</div>
                                          <div><br>
                                          </div>
                                          <div>Otherwise, you can play
                                            with the application
                                            ordering  <a
href="http://www.mcs.anl.gov/petsc/petsc-current/docs/manualpages/AO/index.html"
                                              target="_blank"
                                              moz-do-not-send="true">http://www.mcs.anl.gov/petsc/p<wbr>etsc-current/docs/manualpages/<wbr>AO/index.html</a></div>
                                          <span
                                            class="gmail-m_-6501336469052660476m_-5791166958946276202HOEnZb"><font
                                              color="#888888">
                                              <div> </div>
                                            </font></span></div>
                                        <span
                                          class="gmail-m_-6501336469052660476m_-5791166958946276202HOEnZb"><font
                                            color="#888888"><br>
                                            <br clear="all">
                                            <span
                                              class="gmail-m_-6501336469052660476HOEnZb"><font
                                                color="#888888">
                                                <div><br>
                                                </div>
                                                -- <br>
                                                <div
class="gmail-m_-6501336469052660476m_-5791166958946276202m_-5153143099617110787gmail_signature">Stefano</div>
                                              </font></span></font></span></div>
                                      <span
                                        class="gmail-m_-6501336469052660476HOEnZb"><font
                                          color="#888888"> </font></span></div>
                                    <span
                                      class="gmail-m_-6501336469052660476HOEnZb"><font
                                        color="#888888"> </font></span></blockquote>
                                  <span
                                    class="gmail-m_-6501336469052660476HOEnZb"><font
                                      color="#888888"> </font></span></div>
                                <span
                                  class="gmail-m_-6501336469052660476HOEnZb"><font
                                    color="#888888"> <br>
                                  </font></span></div>
                              <span
                                class="gmail-m_-6501336469052660476HOEnZb"><font
                                  color="#888888"> </font></span></blockquote>
                            <span
                              class="gmail-m_-6501336469052660476HOEnZb"><font
                                color="#888888"> <br>
                                <pre class="gmail-m_-6501336469052660476m_-5791166958946276202moz-signature" cols="72">-- 

______________________________<wbr>______________________

Deutsches Zentrum für Luft- und Raumfahrt e.V. (DLR)
Institut für Aerodynamik und Strömungstechnik | <a href="https://maps.google.com/?q=Bunsenstr.+10+%7C+37073+G%C3%B6ttingen&entry=gmail&source=g" target="_blank" moz-do-not-send="true">Bunsenstr. 10 | 37073 Göttingen</a>

Michael Werner 
Telefon 0551 709-2627 | Telefax 0551 709-2811 | <a class="gmail-m_-6501336469052660476m_-5791166958946276202moz-txt-link-abbreviated" href="mailto:Michael.Werner@dlr.de" target="_blank" moz-do-not-send="true">Michael.Werner@dlr.de</a>
DLR.de









</pre>
                              </font></span></div>
                        </blockquote>
                      </div>
                      <br>
                      <br clear="all">
                      <span class="gmail-HOEnZb"><font color="#888888">
                          <div><br>
                          </div>
                          -- <br>
                          <div
                            class="gmail-m_-6501336469052660476gmail_signature">
                            <div dir="ltr">
                              <div>
                                <div dir="ltr">
                                  <div>What most experimenters take for
                                    granted before they begin their
                                    experiments is infinitely more
                                    interesting than any results to
                                    which their experiments lead.<br>
                                    -- Norbert Wiener</div>
                                  <div><br>
                                  </div>
                                  <div><a
                                      href="http://www.caam.rice.edu/%7Emk51/"
                                      target="_blank"
                                      moz-do-not-send="true">https://www.cse.buffalo.edu/~<wbr>knepley/</a><br>
                                  </div>
                                </div>
                              </div>
                            </div>
                          </div>
                        </font></span></div>
                    <span class="gmail-HOEnZb"><font color="#888888"> </font></span></div>
                  <span class="gmail-HOEnZb"><font color="#888888"> </font></span></blockquote>
                <span class="gmail-HOEnZb"><font color="#888888"> <br>
                    <pre class="gmail-m_-6501336469052660476moz-signature" cols="72">-- 

______________________________<wbr>______________________

Deutsches Zentrum für Luft- und Raumfahrt e.V. (DLR)
Institut für Aerodynamik und Strömungstechnik | <a href="https://maps.google.com/?q=Bunsenstr.+10+%7C+37073+G%C3%B6ttingen&entry=gmail&source=g" moz-do-not-send="true">Bunsenstr. 10 | 37073 Göttingen</a>

Michael Werner 
Telefon 0551 709-2627 | Telefax 0551 709-2811 | <a class="gmail-m_-6501336469052660476moz-txt-link-abbreviated" href="mailto:Michael.Werner@dlr.de" target="_blank" moz-do-not-send="true">Michael.Werner@dlr.de</a>
DLR.de









</pre>
                  </font></span></div>
            </blockquote>
          </div>
          <br>
          <br clear="all">
          <div><br>
          </div>
          -- <br>
          <div class="gmail_signature">
            <div dir="ltr">
              <div>
                <div dir="ltr">
                  <div>What most experimenters take for granted before
                    they begin their experiments is infinitely more
                    interesting than any results to which their
                    experiments lead.<br>
                    -- Norbert Wiener</div>
                  <div><br>
                  </div>
                  <div><a href="http://www.caam.rice.edu/%7Emk51/"
                      target="_blank" moz-do-not-send="true">https://www.cse.buffalo.edu/~knepley/</a><br>
                  </div>
                </div>
              </div>
            </div>
          </div>
        </div>
      </div>
    </blockquote>
    <br>
    <pre class="moz-signature" cols="72">-- 

____________________________________________________

Deutsches Zentrum für Luft- und Raumfahrt e.V. (DLR)
Institut für Aerodynamik und Strömungstechnik | Bunsenstr. 10 | 37073 Göttingen

Michael Werner 
Telefon 0551 709-2627 | Telefax 0551 709-2811 | <a class="moz-txt-link-abbreviated" href="mailto:Michael.Werner@dlr.de">Michael.Werner@dlr.de</a>
DLR.de









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