Preconditioning methods for high‐order strongly stable time integration methods with an application for a DAE problem | Zendy

Axelsson Owe | Zendy; Blaheta Radim | Zendy; Kohut Roman | Zendy

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

Author(s) -

Axelsson Owe,

Blaheta Radim,

Kohut Roman

Publication year - 2015

Publication title -

numerical linear algebra with applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.02

H-Index - 53

eISSN - 1099-1506

pISSN - 1070-5325

DOI - 10.1002/nla.2015

Subject(s) - mathematics , algebraic number , reduction (mathematics) , linear system , consolidation (business) , mathematical optimization , block (permutation group theory) , mathematical analysis , geometry , accounting , business

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.

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