Inexact Uzawa algorithms for variational inequalities of the second kind

In this paper we discuss inexact Uzawa algorithms and inexact non-linear Uzawa algorithms to solve discretized variational inequalities of the second kind. We prove convergence results for the algorithms. Numerical examples are included to show the effectiveness of the algorithms.

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Bibliographic Details
Published in:Computer methods in applied mechanics and engineering 2003-01, Vol.192 (11), p.1451-1462
Main Authors: Cheng, Xiao-liang, Han, Weimin
Format: Article
Language:English
Subjects:
Calculus of variations and optimal control
Computational techniques
Exact sciences and technology
Function theory, analysis
Inexact Uzawa algorithm
Mathematical methods in physics
Numerical approximation and analysis
Ordinary and partial differential equations, boundary value problems
Physics
Uzawa algorithm
Variational inequality of the second kind
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Summary:In this paper we discuss inexact Uzawa algorithms and inexact non-linear Uzawa algorithms to solve discretized variational inequalities of the second kind. We prove convergence results for the algorithms. Numerical examples are included to show the effectiveness of the algorithms.
ISSN:0045-7825
1879-2138
DOI:10.1016/S0045-7825(02)00651-5