Communications in Mathematical Sciences
Volume 7 (2009)
Convergence of a space semi-discrete modified mass method for the dynamic Signorini problem
Pages: 1063 – 1072
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.
Dynamic Signorini problem; unilateral contact; visco-elastic material; modified mass method; finite elements; convergence; compactness
2010 Mathematics Subject Classification
46N40, 65N30, 65P99, 74M15, 74S05