Mixed finite element approximation of a fourth order variational inequality by the penalty method

DOI10.1080/01630568708816233zbMath0628.65047OpenAlexW2093142751MaRDI QIDQ3765124

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Publication date: 1987

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630568708816233

zbMATH Keywords

variational inequalityconvergence ratemixed finite element methodobstacle problembiharmonic operatorpenalty method

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Existence theories for problems in abstract spaces (49J27)

Related Items (2)

Semi-discrete stabilized finite element methods for Navier-Stokes equations with nonlinear slip boundary conditions based on regularization procedure ⋮ A stabilised finite element method for the plate obstacle problem

Cites Work

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• Numerical solution of the obstacle problem by the penalty method
• Approximation of a bending plate problem with a boundary unilateral constraint
• Error estimates for the finite element solution of variational inequalities. Part II. Mixed methods
• Convergence of a penalty-finite element approximation for an obstacle problem
• Error estimates for the finite element solution of variational inequalities. Part I. primal theory
• Méthodes d'approximation et d'itération pour les opérateurs monotones
• On the regularity of the solution of the biharmonic variational inequality
• Finite-element Approximations and Iterative Solutions of a Fourth-order Elliptic Variational Inequality
• A mixed finite element solution of some biharmonic unilateral problem

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