Analysis of Partitioned Methods for the Biot System

被引：11

作者：

Bukac, Martina ^{[1
]}

Layton, William ^{[2
]}

Moraiti, Marina ^{[2
]}

Tran, Hoang ^{[3
]}

Trenchea, Catalin ^{[2
]}

机构：

[1] Univ Notre Dame, Dept Appl & Computat Math & Stat, Notre Dame, IN 46556 USA

[2] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA

[3] Oak Ridge Natl Lab, Div Math & Comp Sci, Oak Ridge, TN 37831 USA

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2015年 / 31卷 / 06期

基金：

美国国家科学基金会;

关键词：

Biot system; partitioned methods; poroelasticity; STABILITY; EXPLICIT; FLOW;

D O I：

10.1002/num.21968

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we present a comprehensive study of several partitioned methods for the coupling of flow and mechanics. We derive energy estimates for each method for the fully-discrete problem. We write the obtained stability conditions in terms of a key control parameter defined as a ratio of the coupling strength and the speed of propagation. Depending on the parameters in the problem, give the choice of the partitioned method which allows the largest time step. (C) 2015 Wiley Periodicals, Inc.

引用

页码：1769 / 1813

页数：45

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