A Modified Weak Galerkin Finite Element Method for the Poroelasticity Problems
A Modified Weak Galerkin Finite Element Method for the Poroelasticity Problems
复制标题
求解多孔弹性问题的修正弱伽辽金有限元法
DOI：
10.4208/nmtma.2017-oa-0096
复制
发表时间：
2018-06
期刊：
影响因子：
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通讯作者：
R. Zhang
中科院分区：
文献类型：
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作者：
R. Wang;X. Wang;R. Zhang
将一种修正的弱Galerkin有限元方法应用于多孔弹性力学问题，用分段多项式空间来逼近位移和压力，用弱导数算子代替修正的弱Galerkin算法中的经典算子。该方法在传统的弱Galerkin有限元方法的基础上，消除了边界上的自由度，减少了计算量。给出了误差估计，并给出了数值结果以说明我们的理论结果。AMS科目分类：65N30、65N15、76S05
A modified weak Galerkin finite element method is applied to the poroelasticity problems, in which, we use the piece-wise polynomial space to approximate the displacement and the pressure, and we utilize the weak derivative operators to replace the classical ones in the modified weak Galerkin algorithm. Based on the traditional weak Galerkin finite element method, the modified method reduces the total amount of computation by eliminating the degrees of freedom on the boundaries. The error estimates are given and the numerical results are reported to illustrate our theoretical results. AMS subject classifications: 65N30, 65N15, 76S05