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

Bänsch E, Basting S (2017)

Publication Language: English

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2017

Journal

Mathematical Modelling and Numerical Analysis EDP Sciences

Publisher: EDP SCIENCES S A

Book Volume: 51

Pages Range: 1173-1195

Journal Issue: 4

DOI: 10.1051/m2an/2016055

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.

Authors with CRIS profile

Eberhard Bänsch Lehrstuhl für Angewandte Mathematik (Wissenschaftliches Rechnen) Steffen Basting Lehrstuhl für Angewandte Mathematik (Wissenschaftliches Rechnen)

How to cite

APA:

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

MLA:

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

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