Error estimates for the implicit Euler approximation of an evolution inequality

DOI10.1016/0362-546X(90)90155-AzbMath0727.65058OpenAlexW1981942795MaRDI QIDQ3349887

Günter Lippold

Publication date: 1990

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(90)90155-a

zbMATH Keywords

convergencecollocation methoderror estimatesvariational inequalityHilbert spacesinitial value problemtime discretizationparabolic obstacle problemevolution problemevolution inequalityimplicit Euler approximation

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators (35K85) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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Cites Work

• On finite element approximation in the \(L^{\infty}\)-norm of variational inequalities
• Numerical solution of the obstacle problem by the penalty method. II: Time-dependent problems
• Error estimates for the finite element solution of variational inequalities. Part I. primal theory
• Evaluation de l'erreur d'approximation pour une inéquation parabolique rélative aux convexes dependant du temps
• \(L^{\infty}\)-error estimate for an approximation of a parabolic variational inequality
• Problèmes unilateraux
• Error estimates and step-size control for the approximate solution of a first order evolution equation
• Adaptive Approximation
• Error Estimates for the Approximation of a Class of Variational Inequalities
• A Convergence Estimate for an Approximation of a Parabolic Variational Inequality
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