7–11 Sept 2026
Humboldt Universität zu Berlin
Europe/Berlin timezone

Convergence of a shape optimisation algorithm for a semi-linear elliptic equtions in function spaces using $W^{1,\infty}$-steepest descent

11 Sept 2026, 09:30
30m
Main building/Floor 1-Room 2094 - Lecture Hall (HU (Main Building))

Main building/Floor 1-Room 2094 - Lecture Hall

HU (Main Building)

HU Berlin Main Building Unter den Linden 6 10117 Berlin
178
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Optimization and Free Boundaries Optimization and Free Boundaries

Speaker

Philip Herbert (University of Sussex)

Description

In this talk, we consider the shape optimisation of a semi-linear elliptic equation. We use a $W^{1,\infty}$-steepest descent with Armio step size to perform the optimisation. In the infinite dimensional setting, we show the convergence of two-dimensional shapes under a mild assumption. We conclude with some numerical experiments.

Authors

Klaus Deckelnick (Otto-von-Guericke-Universitaet Magdeburg) Michael Hinze (Universität Koblenz) Philip Herbert (University of Sussex)

Presentation materials

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