Numerical solution of the obstacle problem by the penalty method. II: Time-dependent problems
type: Item
instance of: scholarly article
title: Numerical solution of the obstacle problem by the penalty method. II: Time-dependent problems
zbMATH Open document ID: 0592.65039
DOI: 10.1007/BF01389628
published in: Numerische Mathematik
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/133111
review text: In part I [Computing 32, 297-306 (1984; Zbl 0528.65057)] we considered the possibility of using the penalty method to get approximations of the solution of elliptic variational inequalities. In this note we show that the same idea can be used for the treatment of parabolic problems. By coupling the penalty parameter \(\epsilon\) and the discretization parameters h and \(\Delta\) t quasi-optimal error estimates are derived in suitable norms.
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 49J40
zbMATH DE Number: 3951905
zbMATH Keywords: obstacle problem
zbMATH Keywords: variational methods
zbMATH Keywords: penalty method
zbMATH Keywords: parabolic problems
zbMATH Keywords: quasi-optimal error estimates
author: Reinhard Scholz
MaRDI profile type: Publication
cites work: Q3935745
cites work: An Error Estimate for the Truncation Method for the Solution of Parabolic Obstacle Variational Inequalities
cites work: Méthodes d'approximation et d'itération pour les opérateurs monotones
cites work: Sommes d'opérateurs linéaires et équations différentielles opérationnelles
cites work: Q3673963
cites work: A Convergence Estimate for an Approximation of a Parabolic Variational Inequality
cites work: Convergence of a penalty-finite element approximation for an obstacle problem
cites work: Numerical solution of the obstacle problem by the penalty method
OpenAlex ID: W3000757360
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description: scientific article; zbMATH DE number 3951905