Shape optimization approach to numerical solution of the obstacle problem

DOI10.1007/BF01449033zbMath0555.49020OpenAlexW2082595815MaRDI QIDQ760660

D. Kharzeev

Publication date: 1984

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01449033

zbMATH Keywords

gradient descent methodcoincidence setdomain optimization algorithm

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Stability in context of PDEs (35B35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Methods of reduced gradient type (90C52)

Related Items (2)

Generalized implicit function theorems and problems with a free boundary ⋮ Numerical solutions of a two-phase membrane problem

Cites Work

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• The indicatrix method in free boundary problems
• A perturbation study of the obstacle problem by means of a generalized implicit function theorem
• Approximation of time-dependent free boundaries
• On the existence of a solution in a domain identification problem
• A stability theorem for the obstacle problem
• Application de la méthode des éléments finis à l'approximation d'un problème de domaine optimal. Méthodes de résolution des problèmes approches
• A finite element approximation of a variational inequality related to hydraulics
• Elliptic Partial Differential Equations of Second Order
• Error estimates and free-boundary convergence for a finite difference discretization of a parabolic variational inequality

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