Splitting schemes for poroelasticity and thermoelasticity problems

被引：39

作者：

Kolesov, A. E. ^{[1
]}

Vabishchevich, P. N. ^{[2
]}

Vasilyeva, M. V. ^{[1
]}

机构：

[1] North Eastern Fed Univ, Yakutsk, Russia

[2] RAS, Nucl Safety Inst, Moscow 117901, Russia

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2014年 / 67卷 / 12期

关键词：

Poroelasticity; Thermoelasticity; Splitting schemes; Regularization; High performance computing; COUPLED FLOW;

D O I：

10.1016/j.camwa.2014.02.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we consider the coupled systems of linear unsteady partial differential equations, which arise in the modelling of poroelasticity processes. Stability estimates of weighted difference schemes for the coupled system of equations are presented. Approximation in space is based on the finite element method. We construct splitting schemes and give some numerical comparisons for typical poroelasticity problems. The results of numerical simulation of a 3D problem are presented. Special attention is given to using high performance computing systems. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：2185 / 2198

页数：14

共 35 条

[1]

[Anonymous], 2010, THESIS STANFORD U

[2]

[Anonymous], FENICS BOOK

[3] A NEW UNCONDITIONALLY STABLE FRACTIONAL STEP METHOD FOR NONLINEAR COUPLED THERMOMECHANICAL PROBLEMS [J].