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‎references/index.html‎

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EggerEtAl2025
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<span id="EggerEtAl2025">H. Egger and A. Schafelner, “A parallel-in-time solver for nonlinear degenerate time-periodic parabolic problems,” arXiv:2502.21013v1 [math.NA], 2025 [Online]. Available at: <a href="http://arxiv.org/abs/2502.21013v1" target="_blank">http://arxiv.org/abs/2502.21013v1</a></span>
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BibTeX
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Abstract
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BibTeX entry <code>EggerEtAl2025</code>
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<pre class="abstract">@unpublished{EggerEtAl2025,
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author = {Egger, Herbert and Schafelner, Andreas},
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howpublished = {arXiv:2502.21013v1 [math.NA]},
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title = {A parallel-in-time solver for nonlinear degenerate time-periodic parabolic problems},
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url = {http://arxiv.org/abs/2502.21013v1},
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year = {2025}
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}
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A class of abstract nonlinear time-periodic evolution problems is considered which arise in electrical engineering and other scientific disciplines. An efficient solver is proposed for the systems arising after discretization in time based on a fixed-point iteration. Every step of this iteration amounts to the solution of a discretized time-periodic and time-invariant problem for which efficient parallel-in-time methods are available. Global convergence with contraction factors independent of the discretization parameters is established. Together with an appropriate initialization step, a highly efficient and reliable solver is obtained. The applicability and performance of the proposed method is illustrated by simulations of a power transformer. Further comparison is made with other solution strategies proposed in the literature.
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‎sitemap.xml‎

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