A Sequential Discontinuous Galerkin Method for the Coupling of Flow and Geomechanics

被引：8
|
作者：
Chaabane, Nabil [1 ]
Riviere, Beatrice [1 ]
机构：
[1] Rice Univ, CAAM Dept, Houston, TX 77005 USA
来源：
JOURNAL OF SCIENTIFIC COMPUTING | 2018年 / 74卷 / 01期
关键词：
Poroelasticity; Sequential method; Error estimates; Discontinuous Galerkin method; FINITE-ELEMENT METHODS; POROELASTICITY; CONSOLIDATION; CONVERGENCE; ELASTICITY;
D O I：
10.1007/s10915-017-0443-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A decoupled and sequential numerical method is proposed and analyzed for solving the linear poroelasticity equations. Unlike other splitting approaches, this method is not iterative, which results in a speed-up of the computational time. The interior penalty discontinuous Galerkin method is employed for the spatial discretization and is combined with the backward Euler method for the time discretization. We provide a convergence analysis of the scheme along with numerical results that confirm the theoretical results.
引用
收藏
页码：375 / 395
页数：21
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