A splitting preconditioner for a block two-by-two linear system with applications to the bidomain equations

摘要

We construct an alternating splitting iteration scheme for solving and preconditioning a block two-by-two linear system arising from numerical discretizations of the bidomain equations. The convergence theory of this class of splitting iteration methods is established and some useful properties of the preconditioned matrix are analyzed. The potential of this approach is illustrated by numerical experiments.