Sharp Interface Limit for a Phase Field Model in Structural Optimization

DOI10.1137/140989066zbMath1348.35259arXiv1409.7586OpenAlexW2228170291MaRDI QIDQ2813311

Harald Garcke, Christoph Rupprecht, Claudia Hecht, Luise Blank

Publication date: 23 June 2016

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.7586

zbMATH Keywords

linear elasticitysensitivity analysisoptimality conditionsnumerical simulationsphase field methoddiffuse interface\(\Gamma \)-convergenceshape and topology optimization

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Optimization of shapes other than minimal surfaces (49Q10) Free boundary problems for PDEs (35R35) Topological methods for optimization problems in solid mechanics (74P15) PDEs in connection with mechanics of deformable solids (35Q74) Sensitivity analysis for optimization problems on manifolds (49Q12)

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