Finite element approximation of parabolic hemivariational inequalities

In this paper we introduce a finite element approximation for a parabolic hemivariational initial boundary value problem. We prove that the approximate problem is solvable and its solutions converge on subsequences to the solutions of the continuous problem

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Podrobná bibliografie
Vydáno v:	Numerical functional analysis and optimization Ročník 19; číslo 5-6; s. 565 - 585
Hlavní autoři:	Miettinen, M., Haslinger, J.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Philadelphia, PA Marcel Dekker, Inc 01.01.1998 Taylor & Francis
Témata:	AMS subject classification:35K85 AMS subject classification:49J52 AMS subject classification:65M40 Calculus of variations and optimal control Exact sciences and technology Finite element approximation Mathematical analysis Mathematics Numerical analysis Numerical analysis in abstract spaces Numerical analysis. Scientific computation Parabolic hemivariational inequality Sciences and techniques of general use Time dependent differential inclusions Finite element method Parabolic equation Boundary value problem Variational inequality Initial value problem Approximation theory Partial differential equation
ISSN:	0163-0563, 1532-2467
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Popis
Shrnutí:	In this paper we introduce a finite element approximation for a parabolic hemivariational initial boundary value problem. We prove that the approximate problem is solvable and its solutions converge on subsequences to the solutions of the continuous problem
ISSN:	0163-0563 1532-2467
DOI:	10.1080/01630569808816846