Finite element approximation on elliptic singular optimal design.

DOI10.1016/j.crma.2004.02.003zbMath1052.65059OpenAlexW1966982142MaRDI QIDQ1876838

Denise Chenais, Enrique Zuazua

Publication date: 20 August 2004

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2004.02.003

zbMATH Keywords

convergenceLaplace equationfinite-elementoptimization of shapesDirichiet problemelliptic optimal design

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) Optimization of shapes other than minimal surfaces (49Q10) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (3)

Finite-element approximation of 2D elliptic optimal design ⋮ Nonsmooth defect identification and approximation ⋮ Shape optimization of piezoelectric sensors or actuators for the control of plates

Cites Work

• On optimal shape design
• Convergence of convex sets and of solutions of variational inequalities
• Ensembles analytiques, capacites, mesures de Hausdorff
• On the Bernoulli free boundary problem and related shape optimization problems
• Unnamed Item

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