Fictitious domain/mixed finite element approach for a class of optimal shape design problems

DOI10.1051/m2an/1995290404351zbMath0831.65072OpenAlexW2521673939MaRDI QIDQ4850072

Anders Klarbring, Jaroslav Haslinger

Publication date: 18 February 1996

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193780

zbMATH Keywords

convergencemixed finite elementsfictitious domain methodshape optimization problems

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (5)

FICTITIOUS DOMAINS METHODS WITH DISTRIBUTED LAGRANGE MULTIPLIERS PART I: APPLICATION TO THE SOLUTION OF ELLIPTIC STATE PROBLEMS ⋮ Numerical realization of a fictitious domain approach used in shape optimization. I: Distributed controls ⋮ A moving mesh fictitious domain approach for shape optimization problems ⋮ A Fixed-Grid Finite Element Algebraic Multigrid Approach for Interface Shape Optimization Governed by 2-Dimensional Magnetostatics ⋮ Fictitious domain formulations of unilateral problems: analysis and algorithms

Cites Work

• Design sensitivity analysis of structural systems
• A fictitious domain method for Dirichlet problem and applications
• A Version of the Bundle Idea for Minimizing a Nonsmooth Function: Conceptual Idea, Convergence Analysis, Numerical Results
• Control/fictitious domain method for solving optimal shape design problems
• Numerical simulation and optimal shape for viscous flow by a fictitious domain method
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