A weak Galerkin method for elasticity interface problems
A weak Galerkin method for elasticity interface problems
复制标题
DOI：
10.1016/j.cam.2022.114726
复制
发表时间：
2022-09-06
影响因子：
2.4
通讯作者：
Zhang，Shangyou
中科院分区：
文献类型：
--
作者：
Wang，Chunmei;Zhang，Shangyou
本文介绍了一种求解一般多边形/多面体分区上线弹性接触问题的弱伽辽金（WG）有限元法。离散弱发散和梯度算子被离散为多项式，并通过求解每个元素上的廉价局部问题来计算。已被证明是稳定的和准确的离散H1模的最佳阶误差估计的WG方法。数值实验验证了WG方法的有效性和准确性，以及其一致收敛性，而与界面系数的突变和不可压缩性无关.
This article introduces a weak Galerkin (WG) finite element method for linear elasticity interface problems on general polygonal/polyhedral partitions. The discrete weak divergence and gradient operators are discretized as polynomials and computed by solving inexpensive local problems on each element. The developed WG method has been proved to be stable and accurate with optimal order error estimates in the discrete H 1 norm. Some numerical experiments are conducted to verify the efficiency and accuracy of the proposed WG method, in addition, and its uniform convergence independent of the jump of the interface coefficients and the incompressibility.