A Smooth Embedding Domain Method Based On the Penalty Approach

DOI10.1080/01630563.2011.597533zbMath1246.65230OpenAlexW2147653451WikidataQ109654953 ScholiaQ109654953MaRDI QIDQ3114593

Tomáš Kozubek, Jaroslav Haslinger, Gunther H. Peichl

Publication date: 19 February 2012

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: http://unipub.uni-graz.at/doi/doi:10.1080/01630563.2011.597533

zbMATH Keywords

Lagrange multipliersnumerical resultsoptimal control problemDirichlet boundary value problemfictitious domain methodpenalty approachembedding domain method

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Numerical optimization and variational techniques (65K10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fictitious domain methods for boundary value problems involving PDEs (65N85)

Related Items (1)

A smooth fictitious domain/multiresolution method for elliptic equations on general domains

Cites Work

• Complexity of an algorithm for solving saddle-point systems with singular blocks arising in wavelet-Galerkin discretizations.
• Shape optimization and fictitious domain approach for solving free boundary problems of Bernoulli type
• An embedding domain approach for a class of 2-d shape optimization problems: Mathematical analysis.
• Error analysis of a fictitious domain method applied to a Dirichlet problem
• Projected Schur complement method for solving non-symmetric systems arising from a smooth fictitious domain approach
• Mixed and Hybrid Finite Element Methods
• Introduction to Shape Optimization
• Exact and Approximate Controllability for Distributed Parameter Systems

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