deploy: 9433106

Author: pancetta

references/index.html

@@ -1203,6 +1203,101 @@ <h2 id="year2024" class="year">2024 <span class="count-stat"></span></h2>
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+          KwokEtAl2024
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+      <span id="KwokEtAl2024">F. Kwok and D. N. Tognon, “A parallel in time algorithm based ParaExp for optimal control problems,” arXiv:2406.11478v1 [cs.DC], 2024 [Online]. Available at: <a href="http://arxiv.org/abs/2406.11478v1" target="_blank">http://arxiv.org/abs/2406.11478v1</a></span>
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+            <pre class="abstract">@unpublished{KwokEtAl2024,
+  author = {Kwok, Felix and Tognon, Djahou N},
+  howpublished = {arXiv:2406.11478v1 [cs.DC]},
+  title = {A parallel in time algorithm based ParaExp for optimal control problems},
+  url = {http://arxiv.org/abs/2406.11478v1},
+  year = {2024}
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+  <div class="modal" id="modalKwokEtAl2024Abstract" tabindex="-1" role="dialog"
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+            We propose a new parallel-in-time algorithm for solving optimal control problems constrained bypartial differential equations. Our approach, which is based on a deeper understanding of ParaExp,considers an overlapping time-domain decomposition in which we combine the solution of homogeneous problems using exponential propagation with the local solutions of inhomogeneous problems.The algorithm yields a linear system whose matrix-vector product can be fully performed in parallel.We then propose a preconditioner to speed up the convergence of GMRES in the special cases ofthe heat and wave equations. Numerical experiments are provided to illustrate the efficiency of ourpreconditioners.
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