| Zugriffsnummer | 10356 |
| Dokumenttyp | Konferenzartikel |
| Sprache | Englisch |
| Titel | Preconditioning techniques for the bidomain equations |
| Autor(in); Institution |
Weber dos Santos, Rodrigo; 8.2, Biosignale, PTB-Berlin
Plank, Gernot; Universität Graz, Graz, AUSTRIA
Bauer, Steffen; 8.2, Biosignale, PTB-Berlin
Vigmond, Ed J.; University of Calgary, CANADA
|
| Quelle/Jahr | Domain decomposition methods in science and engineering:(2004), 571 - 580 |
| Schriftenreihe | Lecture notes in computational science and engineering: 40 |
| Herausgeber(in) |
Kornhuber, R.
Hoppe, R.H.W.
Keyes, D.E.
Periaux, O.
|
| ISBN | 3-540-22523-4 |
| DOI | |
| Verlag | Berlin [u.a.]: Springer |
| Konferenzangaben | 15th International Conference on Domain Decomposition Methods, Berlin, 21-25 July, 2003, Germany |
| Freie Schlagworte | Multigrid ; Domain Decomposition ; bidomain ; parallel computing |
| Zusammenfassung | In this work we discuss parallel preconditioning techniques for the bidomain equations, a non-linear system of partial differential equations which is widely used for the simulation of electrical activity in cardiac tissue. We approache the non-linear system with an operator splitting technique. Our numerical algorithm is based on a three step scheme which involves the solution of a parabolic equation, an elliptic equation and a non-linear system of ordinary differential equations at each time step. We focused on the solution of the linear system associated with the elliptic part of the bidomain model, since it dominates computation, with the preconditioned conjugate gradient method. We compared different parallel precondictioning techniques, such as block incomplete LU, additive Schwarz and multigrid. The implementation is based on the PETSc library and we report results for a 16-node HP cluster. The results suggest the multigrid preconditioner is the best option for the bidomain equations. |
