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

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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Published 1 January 2009