Topological derivatives for a class of quasilinear elliptic equations-Reference-Cited by-同舟云学术

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Topological derivatives for a class of quasilinear elliptic equations

Published:2017-04 Issue:4 Volume:107 Page:367-408
ISSN:0021-7824
Container-title:Journal de Mathématiques Pures et Appliquées
language:en
Short-container-title:Journal de Mathématiques Pures et Appliquées

Author:

Amstutz Samuel,Bonnafé Alain

Publisher

Elsevier BV

Subject

Applied Mathematics,General Mathematics

Reference40 articles.

1. Sobolev Spaces;Adams,1975

2. Function Spaces and Potential Theory;Adams,1996

3. Structural optimization sensitivity analysis and a level-set method;Allaire;J. Comput. Phys.,2004

4. Reconstruction of Small Inhomogeneities from Boundary Measurements;Ammari,2004

5. Polarization and Moment Tensors: With Applications to Inverse Problems and Effective Medium Theory;Ammari,2007

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1. Complete topological asymptotic expansion for L2 and H1 tracking-type cost functionals in dimension two and three;Journal of Differential Equations;2024-12

2. Automated computation of topological derivatives with application to nonlinear elasticity and reaction–diffusion problems;Computer Methods in Applied Mechanics and Engineering;2022-08

3. Periodic Hamiltonian systems in shape optimization problems with Neumann boundary conditions;Journal of Differential Equations;2022-06

4. Adjoint-based methods to compute higher-order topological derivatives with an application to elasticity;Engineering Computations;2021-12-14

5. An introduction to the topological derivative;Engineering Computations;2021-09-28

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