Numerical approximation of a unilateral obstacle problem

DOI10.1007/s10957-011-9956-6zbMath1251.47054OpenAlexW1983093808MaRDI QIDQ415415

Weimin Han, El Bekkaye Mermri

Publication date: 8 May 2012

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-011-9956-6

zbMATH Keywords

convergencefinite element methodvariational inequalityvariational inclusionobstacle problem

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Discrete approximations in optimal control (49M25) Variational and other types of inclusions (47J22)

Related Items (4)

Projection/fixed point method for solving a semilinear obstacle problem ⋮ Uzawa block relaxation method for free boundary problem with unilateral obstacle ⋮ Numerical analysis of a family of simultaneous distributed-boundary mixed elliptic optimal control problems and their asymptotic behaviour through a commutative diagram and error estimates ⋮ Simultaneous distributed-boundary optimal control problems driven by nonlinear complementarity systems

Cites Work

• The regularization method for an obstacle problem
• On characterizations and regularity of the solution of bilateral obstacle problems
• Problèmes unilateraux
• Sur la régularité de la solution d'inéquations elliptiques
• On the regularity of the solution of a variational inequality
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