Parallel Solution of the Bidomain Equations with High Resolutions

This paper is concerned with the parallel solution of the Bidomain equations and an associated forward problem, which can be used to simulate the electrical activity in the heart and torso. For achieving high-resolution simulations on parallel computers, a scalable and parallelizable numerical strategy must be used. We present therefore an advanced parallel preconditioner for a 2 × 2 block linear system that arises from finite element discretizations. The scalability of the preconditioner is studied by numerical experiments that involve up to 81 million unknowns in the block linear system.