A posteriori error estimates for Biot system using a mixed discretization for flow
A posteriori error estimates for Biot system using a mixed discretization for flow
复制标题
使用流混合离散化的 Biot 系统的后验误差估计
DOI：
10.1016/j.cma.2022.115240
复制
发表时间：
2022
影响因子：
7.2
通讯作者：
Li, Hanyu
中科院分区：
文献类型：
--
作者：
Wheeler, Mary F.;Girault, Vivette;Li, Hanyu
我们首先推导出收敛性和先验稳定性，和下一个可靠性和效率的后验误差指标的毕奥多孔弹性模型耦合的弹性模型在R 3，解决了连续Galerkin格式（CG）的位移和混合有限元格式的流量。采用固定应力分裂算法对耦合系统进行解耦。基于残差的误差指标的数值实现是简单的，即使对于混合离散化，但以两个次优界限为代价。该计划是通过几个数值实验的两个基准问题进行测试。
We first derive convergence and a priori stability, and next reliability and efficiency of a posteriori error indicators for a Biot poroelastic model coupled with an elastic model in R 3, solved by a continuous Galerkin scheme (CG) for the displacement and a mixed finite element scheme for the flow. The coupled system is decoupled by a fixed stress splitting algorithm. The numerical implementation of the residual based error indicators is simple, even for the mixed discretization, but at the expense of two suboptimal bounds. The scheme is tested on two benchmark problems via several numerical experiments.
DOI：
10.1016/j.cma.2020.113185
发表时间：
2020-09-01
影响因子：
7.2
作者：
Girault, Vivette;Lu, Xueying;Wheeler, Mary F.
通讯作者：
Wheeler, Mary F.