Communications in Mathematical Sciences

Volume 7 (2009)

Number 4

Convergence of a space semi-discrete modified mass method for the dynamic Signorini problem

Pages: 1063 – 1072

(Fast Communication)

DOI: http://dx.doi.org/10.4310/CMS.2009.v7.n4.a13

Authors

D. Doyen

A. Ern

Abstract

A new space semi-discretization for the dynamic Signorini problem, based on a modification of the mass term, has been recently proposed. We prove the convergence of the space semi-discrete solutions to a solution of the continuous problem in the case of a visco-elastic material.

Keywords

Dynamic Signorini problem; unilateral contact; visco-elastic material; modified mass method; finite elements; convergence; compactness

2010 Mathematics Subject Classification

46N40, 65N30, 65P99, 74M15, 74S05

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