Error bounds for the finite element approximation of a degenerate quasilinear parabolic variational inequality

DOI10.1007/BF02071387zbMath0824.65044OpenAlexW2003630611MaRDI QIDQ1895892

John W. Barrett, Wen-bin Liu

Publication date: 13 November 1995

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02071387

zbMATH Keywords

Sobolev spacefinite elementerror boundsbackward Euler time discretisationdegenerate quasilinear parabolic variational inequality

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Newton-type methods (49M15) Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators (35K85) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items

Adaptive mixed finite element methods for parabolic optimal control problems ⋮ Quasi-norm error bounds for the finite element approximation of some degenerate quasilinear parabolic equations and variational inequalities ⋮ A posteriorierror estimates for mixed finite element approximation of nonlinear quadratic optimal control problems ⋮ A Posteriori Error Estimates of Mixed Methods for Parabolic Optimal Control Problems ⋮ A posteriori error estimates of spectral method for optimal control problems governed by parabolic equations ⋮ A posteriori error estimates for some model boundary control problems ⋮ Degenerate quasilinear elliptic equations arising from bimaterial problems in elastic–plastic mechanics11The financial support of the author by the EPSRC under grant GR/J37737 is gratefully acknowledged.

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