Shape optimization by means of the penalty method with extrapolation

DOI10.21136/am.1994.134271zbMath0826.65056OpenAlexW2603776658MaRDI QIDQ1345766

Ivan Hlaváček

Publication date: 13 March 1995

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/32897

zbMATH Keywords

convergenceerror estimatesfinite elementsextrapolationPoisson equationoptimal shape designpenalty methodcost functionals

Mathematics Subject Classification ID

Related Items (3)

A recovered gradient method applied to smooth optimal shape problems ⋮ Ivan Hlaváček is seventy-five ⋮ The method of arbitrary lines in optimal shape design: Problems with an elliptic state equation

Cites Work

• Design sensitivity analysis of structural systems
• Boundary flux estimates for elliptic problems by the perturbed variational method
• New error bounds for the penalty method and extrapolation
• The Finite Element Method with Penalty
• Computational Experiments and Techniques for the Penalty Method with Extrapolation
• Curved Elements in the Finite Element Method. I
• Penalty method and extrapolation for axisymmetric elliptic problems with Dirichlet boundary conditions
• On the regularity of the solution of the Poisson problem on a domain with boundary locally similar to the boundary of a convex open set
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