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

Saved in:
Bibliographic Details
Published in:Numerical functional analysis and optimization Vol. 19; no. 5-6; pp. 565 - 585
Main Authors: Miettinen, M., Haslinger, J.
Format: Journal Article
Language:English
Published: Philadelphia, PA Marcel Dekker, Inc 01.01.1998
Taylor & Francis
Subjects:
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
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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