Preconditioning methods for high-order strongly stable time integration methods with an application for a DAE problem

被引：11

作者：

Axelsson, Owe ^{[1
]}

Blaheta, Radim ^{[1
]}

Kohut, Roman ^{[1
]}

机构：

[1] AS CR, Inst Geon, Ostrava 70800, Czech Republic

来源：

NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS | 2015年 / 22卷 / 06期

关键词：

stable time integration; Radau method; preconditioning of matrix polynomials; poroelasticity problems; DAE system; RUNGE-KUTTA METHODS; ITERATIVE METHODS;

D O I：

10.1002/nla.2015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

High-order strongly stable time integration method enables use of large time steps and is applicable also for differential-algebraic problems, without any order reduction. At each time step, frequently a large-scale linear algebraic system must be solved. To solve the arising block matrix systems, an efficient preconditioning method is presented and analysed. The method is applied for the solution of a consolidation problem arising in poroelasticity. Copyright (C) 2015 John Wiley & Sons, Ltd.

引用

页码：930 / 949

页数：20

共 26 条

[1]

[Anonymous], NUMERICAL ANAL HIST

[2]

Ascher Uri M., 1998, COMPUTER METHODS ORD

[3]

AXELSON O., 1994, Iterative Solution Methods

[4]

Axelsson O., 1974, BIT (Nordisk Tidskrift for Informationsbehandling), V14, P279, DOI 10.1007/BF01933227

[5]

Axelsson O, 2000, NUMER LINEAR ALGEBR, V7, P197, DOI 10.1002/1099-1506(200005)7:4<197::AID-NLA194>3.0.CO

[6]

2-S

[7]

Axelsson O., 1969, BIT (Nordisk Tidskrift for Informationsbehandling), V9, P185, DOI 10.1007/BF01946812

[8]

AxELSSON O., 1964, BIT, V4, P69

[9] A comparison of iterative methods to solve complex valued linear algebraic systems [J].

Axelsson, Owe ;

Neytcheva, Maya ;

Ahmad, Bashir .

NUMERICAL ALGORITHMS, 2014, 66 (04) :811-841

[10] Stable discretization of poroelasticity problems and efficient preconditioners for arising saddle point type matrices [J].

Axelsson, Owe ;

Blaheta, Radim ;

Byczanski, Petr .

COMPUTING AND VISUALIZATION IN SCIENCE, 2012, 15 (04) :191-207

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