A novel W1,∞ approach to shape optimisation with Lipschitz domains
DOI10.1051/cocv/2021108zbMath1483.35299arXiv2103.13857OpenAlexW4200335048WikidataQ114011511 ScholiaQ114011511MaRDI QIDQ5024337
Michael Hinze, Philip J. Herbert, Klaus Deckelnick
Publication date: 31 January 2022
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.13857
star-shaped domainoptimal transportPDE constrained shape optimization\(\infty\)-Laplacian shape derivative\(W^{1,\infty}\) descent
Optimality conditions for problems involving partial differential equations (49K20) Numerical optimization and variational techniques (65K10) Control/observation systems governed by partial differential equations (93C20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Optimization of shapes other than minimal surfaces (49Q10) Existence theories for optimal control problems involving partial differential equations (49J20) Weak solutions to PDEs (35D30) PDEs in connection with control and optimization (35Q93) PDE constrained optimization (numerical aspects) (49M41)
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