PRECONDITIONERS FOR THE DISCONTINUOUS GALERKIN TIME-STEPPING METHOD OF ARBITRARY ORDER

Beitrag in einer Fachzeitschrift
(Originalarbeit)


Details zur Publikation

Autor(en): Bänsch E, Basting S
Zeitschrift: Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique Et Analyse Numerique
Verlag: EDP SCIENCES S A
Jahr der Veröffentlichung: 2017
Band: 51
Heftnummer: 4
Seitenbereich: 1173-1195
ISSN: 0764-583X
Sprache: Englisch


Abstract

We develop a preconditioner for systems arising from space-time finite element discretizations of parabolic equations. The preconditioner is based on a transformation of the coupled system into block diagonal form and an efficient solution strategy for the arising 2 x 2 blocks. The suggested strategy makes use of an inexact factorization of the Schur complement of these blocks, for which uniform bounds on the condition number can be proven. The main computational effort of the preconditioner lies in solving implicit Euler-like problems, which allows for the usage of efficient standard solvers. Numerical experiments are performed to corroborate our theoretical findings.


FAU-Autoren / FAU-Herausgeber

Bänsch, Eberhard Prof. Dr.
Lehrstuhl für Angewandte Mathematik
Basting, Steffen
Lehrstuhl für Angewandte Mathematik


Zitierweisen

APA:
Bänsch, E., & Basting, S. (2017). PRECONDITIONERS FOR THE DISCONTINUOUS GALERKIN TIME-STEPPING METHOD OF ARBITRARY ORDER. Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique Et Analyse Numerique, 51(4), 1173-1195. https://dx.doi.org/10.1051/m2an/2016055

MLA:
Bänsch, Eberhard, and Steffen Basting. "PRECONDITIONERS FOR THE DISCONTINUOUS GALERKIN TIME-STEPPING METHOD OF ARBITRARY ORDER." Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique Et Analyse Numerique 51.4 (2017): 1173-1195.

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