【摘要】 本文讨论了一类关于时间二阶导数的发展变分不等式的EFG方法及其近似收敛性分析.采用无网格方法中的无单元Galerkin方法(EFG)对空间进行离散,时间采用向后差分,得到了一个隐式计算格式.证明了计算格式的收敛性并给出了其收敛阶估计.文末给出了数值算例,验证了解的收敛性及收敛阶.更多还原

【Abstract】 We consider a class of evolutionary variational inequalities(EVI) of the second order in time arising in the frictional contact problems.The convergence analysis of EFG method for these variational inequalities is introduced in this paper.It yields the EFG fully discrete format and its convergence theorem based on an EFG discretization in space and backward differencing in time.It shows that the convergence order not only depends on the number of basis function in Moving Least Squares(MLS) approximation but also the relationship with time step and spatial step.Applying the EFG method to the twodimensional problem,it verifies the results of the convergence theorem.更多还原