Preconditioning methods for high‐order strongly stable time integration methods with an application for a DAE problem. Issue 6 (16th September 2015)

• Record Type: Journal Article
• Authors: Axelsson, Owe; Blaheta, Radim; Kohut, Roman
• Is Part Of: Numerical linear algebra with applications. Volume 22:Issue 6(2015:Nov.)
• Page Start: 930
• Page End: 949
• Publication Date: 2015-09-16
• Subjects: stable time integration -- Radau method -- preconditioning of matrix polynomials -- poroelasticity problems -- DAE system; Algebras, Linear -- Periodicals; 512.5
• DOI: 10.1002/nla.2015
• Languages: English
• ISSNs: 1070-5325

Abstract

Summary: 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 © 2015 John Wiley & Sons, Ltd.