Phase field model for multi-material shape optimization of inextensible rods

DOI10.1051/cocv/2024039zbMath1545.35197MaRDI QIDQ6582306

Patrick W. Dondl, Unnamed Author, Alberto Maione

Publication date: 2 August 2024

Published in: European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations (Search for Journal in Brave)

zbMATH Keywords

optimality conditionsshape optimizationmathematical modelingsteepest descentnumerical simulationssharp interfacediffuse interface\( \Gamma \)-convergenceplant morphologyphase field problems

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Optimization of other properties in solid mechanics (74P10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Methods involving semicontinuity and convergence; relaxation (49J45) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods applied to problems in solid mechanics (74S20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Optimization of shapes other than minimal surfaces (49Q10) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

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