Comparison of shape derivatives using CutFEM for ill-posed Bernoulli free boundary problem
DOI10.1007/s10915-021-01544-6zbMath1481.65208arXiv2008.09668OpenAlexW3175242745MaRDI QIDQ2049082
Mats G. Larson, Erik Burman, Cuiyu He
Publication date: 24 August 2021
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.09668
Numerical optimization and variational techniques (65K10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Optimization of shapes other than minimal surfaces (49Q10) Free boundary problems for PDEs (35R35) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20) PDE constrained optimization (numerical aspects) (49M41)
Uses Software
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