An embedding domain approach for a class of 2-d shape optimization problems: Mathematical analysis.
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Publication:1428252
DOI10.1016/j.jmaa.2003.10.038zbMath1034.49042OpenAlexW2005226882WikidataQ109654972 ScholiaQ109654972MaRDI QIDQ1428252
Publication date: 14 March 2004
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.10.038
Optimization of shapes other than minimal surfaces (49Q10) Free boundary problems for PDEs (35R35) Numerical methods for partial differential equations, boundary value problems (65N99)
Related Items (9)
A shape optimization approach for a class of free boundary problems of Bernoulli type. ⋮ Shape optimization approach for solving the Bernoulli problem by tracking the Neumann data: a Lagrangian formulation ⋮ On the new coupled complex boundary method in shape optimization framework for solving stationary free boundary problems ⋮ Shape optimization and subdivision surface based approach to solving 3D Bernoulli problems ⋮ On a Kohn-Vogelius like formulation of free boundary problems ⋮ Tracking Dirichlet data in \(L^2\) is an ill-posed problem ⋮ On a numerical shape optimization approach for a class of free boundary problems ⋮ A Smooth Embedding Domain Method Based On the Penalty Approach ⋮ A second-order shape optimization algorithm for solving the exterior Bernoulli free boundary problem using a new boundary cost functional
Cites Work
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