Analysis of a class of dynamic thermal contact problems

Authors:
O. Chau
Affiliations:
Department of Mathematics, University of La Reunion, 97715 Saint-Denis Messag Cedex 9, France
Venue:
International Journal of Computing Science and Mathematics
Year:
2008

Citing 3
Cited 0

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Abstract

We study a general system defined by a second order evolution equation, coupled with a first order differential equation, which can model some classes of dynamic thermal contact problems. We present and establish an existence and uniqueness result, by using general results on evolution equations and Banach's contraction principle, with monotone operators and fixed point arguments. Then a fully discrete scheme for numerical approximations and analysis of error order estimate are provided. Finally applications to concrete dynamic contact problems are given, followed by numerical simulations.