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

[11] On the solution of high order stable time integration methods [J].