AuthorsG. A. Staff, K. Mardal and T. K. Nilssen
EditorsP. Wesseling, E. Oñate and J. Périaux
TitleBlock Preconditioners for Fully Implicit Runge-Kutta Schemes Applied to the Bidomain Equations
AfilliationScientific Computing, Scientific Computing
StatusPublished
Publication TypeProceedings, refereed
Year of Publication2006
Conference NameECCOMAS CFD 06
Pagination1-15
PublisherEuropean Community on Computational Methods in Applied Sciences
ISBN Number90-9020970-0
Abstract

Recently, the authors presented different block preconditioners for implicit Runge-Kutta discretization of the heat equation. The preconditioners were block Jacobi and block Gauss-Seidel preconditoners where the blocks reused existing preconditioners for the implicit Euler discretization of the same equation. In this paper we will introduce similar block preconditioners for the implicit Runge-Kutta discretization of the Bidomain equation. We will, by numerical experiments, show the properties of the preconditoners, and that higher-order Runge-Kutta discretization of the Bidomain equation may be superior to lower-order in some cases.

Notes

The proceeding is published electronically

Citation KeyStaff.2006.2