@misc{10172, author = {Gunnar Staff and Kent-Andre Mardal and Trygve Nilssen}, title = {Block Preconditioners for Fully Implicit Runge-Kutta Schemes Applied to the Bidomain Equations}, 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.}, year = {2006}, journal = {ECCOMAS CFD 06}, pages = {1-15}, publisher = {European Community on Computational Methods in Applied Sciences}, isbn = {90-9020970-0}, note = {The proceeding is published electronically}, editor = {P. Wesseling and E. O{\~n}ate and J. P{\'e}riaux}, }