Phase-field methods for spectral shape and topology optimization
DOI10.1051/cocv/2022090OpenAlexW3179982967MaRDI QIDQ5878131
Patrik Knopf, Harald Garcke, Paul Hüttl, Tim Laux, Christian Kahle
Publication date: 17 February 2023
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.03159
eigenvalue optimizationfinite element approximationshape optimizationtopology optimizationPDE constrained optimizationsharp interface limitphase-field approach\( \Gamma \)-limitfirst-order condition
Optimality conditions for problems involving partial differential equations (49K20) Variational inequalities (49J40) Numerical methods based on necessary conditions (49M05) General topics in linear spectral theory for PDEs (35P05) Estimates of eigenvalues in context of PDEs (35P15) Optimization of shapes other than minimal surfaces (49Q10) Free boundary problems for PDEs (35R35) Existence theories for optimal control problems involving partial differential equations (49J20) Variational methods for eigenvalues of operators (49R05) PDE constrained optimization (numerical aspects) (49M41)
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