The element-free Galerkin method for the dynamic Signorini contact problems with friction in elastic materials

Rui Ding, Quan Shen and Yuan Yao

Applied Mathematics and Computation, 2022, vol. 415, issue C

Abstract: The element-free Galerkin method is proposed for the dynamic Signorini contact problems with friction in elastic materials. The Dirichlet boundary conditions and the constrained conditions are imposed by the penalty method. The error estimates of the element-free Galerkin method indicate that the convergence order depends on the spatial step, the time step, the largest degree of a complete Pascal's monomial basis in the moving least-squares approximation and the penalty factor. Numerical examples verify our theoretical results.

Keywords: Element-free Galerkin method; Moving least-squares approximation; Penalty method; Variational inequalities (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:415:y:2022:i:c:s0096300321007803

DOI: 10.1016/j.amc.2021.126696

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