Complete topological asymptotic expansion for L2 and H1 tracking-type cost functionals in dimension two and three-Reference-Cited by-同舟云学术

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Complete topological asymptotic expansion for L2 and H1 tracking-type cost functionals in dimension two and three

Published:2024-12 Issue: Volume:412 Page:568-612
ISSN:0022-0396
Container-title:Journal of Differential Equations
language:en
Short-container-title:Journal of Differential Equations

Author:

Baumann Phillip^ORCID,Gangl Peter^ORCID,Sturm Kevin

Funder

FWF

Publisher

Elsevier BV

Reference37 articles.

1. A new algorithm for topology optimization using a level-set method;Amstutz;J. Comput. Phys.,2006

2. Topological derivatives for a class of quasilinear elliptic equations;Amstutz;J. Math. Pures Appl.,2017

3. Topological derivative for the nonlinear magnetostatic problem;Amstutz;Electron. Trans. Numer. Anal.,2019

4. High-order terms in the asymptotic expansions of the steady-state voltage potentials in the presence of conductivity inhomogeneities of small diameter;Ammari;SIAM J. Math. Anal.,2003

5. Aspects théoriques et numériques en optimisation de forme topologique;Amstutz,2003

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