The element-free Galerkin method for the dynamic Signorini contact problems with friction in elastic materials
作者：
Highlights：
• ●The element-free Galerkin method is proposed for the dynamic Signorini contact problems with friction in elastic materials and its error estimates are obtained.●The Dirichlet boundary conditions and the constrained conditions are imposed by the penalty method.●The error estimates 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.
摘要
●The element-free Galerkin method is proposed for the dynamic Signorini contact problems with friction in elastic materials and its error estimates are obtained.●The Dirichlet boundary conditions and the constrained conditions are imposed by the penalty method.●The error estimates 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.
论文关键词：Element-free Galerkin method,Moving least-squares approximation,Penalty method,Variational inequalities
论文评审过程：Received 12 April 2021, Revised 21 July 2021, Accepted 25 September 2021, Available online 13 October 2021, Version of Record 13 October 2021.
论文官网地址：https://doi.org/10.1016/j.amc.2021.126696
