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<p class="MsoNormal"><span lang="ES" style="font-size:11.0pt">Hi,<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="ES" style="font-size:11.0pt"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt">The jacobian of the RHS w.r.t. the parameter P is a matrix that will be multiplied by the adjoint solution within TSAdjoint(). I am interested in having access to that adjoint so I can calculate shape derivatives
with firedrake_adjoint. I will have to use that adjoint function, apply it to the residual and calculate the shape derivative from the resulting 0-form to obtain my RHSJacobianP*adjoint. This is the workaround done in pyadjoint:
<a href="https://github.com/dolfin-adjoint/pyadjoint/blob/e6fbd13f8ac63290804852fa2f27307c44bdc9e3/dolfin_adjoint_common/blocks/solving.py#L204">
https://github.com/dolfin-adjoint/pyadjoint/blob/e6fbd13f8ac63290804852fa2f27307c44bdc9e3/dolfin_adjoint_common/blocks/solving.py#L204</a> Is there another alternative within PETSc? Maybe using a matrix free approach?<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt">Thanks<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt">Miguel<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="ES" style="font-size:9.0pt;font-family:Consolas;color:black">Miguel A. Salazar de Troya</span><span lang="ES" style="font-size:10.5pt;color:black"><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:9.0pt;font-family:Consolas;color:black">Postdoctoral Researcher, Lawrence Livermore National Laboratory</span><span style="font-size:10.5pt;color:black"><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:9.0pt;font-family:Consolas;color:black">B141</span><span style="font-size:10.5pt;color:black"><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:9.0pt;font-family:Consolas;color:black">Rm: 1085-5</span><span style="font-size:10.5pt;color:black"><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:9.0pt;font-family:Consolas;color:black">Ph: 1(925) 422-6411</span><o:p></o:p></p>
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