A Penalization and Regularization Technique in Shape Optimization Problems

DOI10.1137/120892131zbMath1285.49033OpenAlexW2025363281MaRDI QIDQ5408793

Peter Philip, Dan Tiba

Publication date: 11 April 2014

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

Full work available at URL: http://hdl.handle.net/20.500.11824/544

zbMATH Keywords

optimal controlerror estimateshape optimizationnumerical simulationelliptic partial differential equationfixed domain methodoptimal layout problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

Related Items (2)

Topological optimization and minimal compliance in linear elasticity ⋮ Implicit functions and parametrizations in dimension three: generalized solutions

This page was built for publication: A Penalization and Regularization Technique in Shape Optimization Problems