Coupling multipoint flux mixed finite element methodswith continuous Galerkin methods for poroelasticity

被引：0
作者：
Mary Wheeler
Guangri Xue
Ivan Yotov
机构：
[1] The University of Texas at Austin,Institute for Computational Engineering and Sciences
[2] Shell International Exploration and Production Co.,Shell Technology Center Houston
[3] University of Pittsburgh,Department of Mathematics
来源：
Computational Geosciences | 2014年 / 18卷
关键词：
Poroelasticity; Geomechanics; Multipoint flux mixed finite element; Continuous Galerkin; Finite volume method;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the numerical approximation on irregular domains with general grids of the system of poroelasticity, which describes fluid flow in deformable porous media. The flow equation is discretized by a multipoint flux mixed finite element method and the displacements are approximated by a continuous Galerkin finite element method. First-order convergence in space and time is established in appropriate norms for the pressure, velocity, and displacement. Numerical results are presented that illustrate the behavior of the method.
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页码：57 / 75
页数：18
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