Name
Abstract | ||
|---|---|---|
The electrical activity in the heart is governed by the bidomain equations. In this paper, we analyse an order optimal method for the algebraic equations arising front the discretization of this model. Our scheme is defined in terms of block Jacobi or block symmetric Gauss-Seidel preconditioners. Furthermore, each block in these methods is based on standard preconditioners for scalar elliptic or parabolic partial differential equations (PDEs). Such preconditioners can be realized in terms of multi-rid or domain decomposition schemes, and are thus readily available by applying 'off-the-sheives' software. Finally, our theoretical findings are illuminated by a series of numerical experiments. Copyright (c) 2006 John Wiley & Sons, Ltd. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1002/nla.501 | NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS |
Keywords | Field | DocType |
bidomain model,preconditioning,multigrid | Discretization,Bidomain model,Mathematical optimization,Mathematical analysis,Algebraic equation,Solver,Partial differential equation,Domain decomposition methods,Multigrid method,Mathematics,Parabola | Journal |
Volume | Issue | ISSN |
14 | 2 | 1070-5325 |
Citations | PageRank | References |
10 | 0.81 | 4 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Kent-Andre Mardal | 1 | 179 | 23.60 |
| Bjørn Fredrik Nielsen | 2 | 66 | 8.83 |
| Xing Cai | 3 | 132 | 12.55 |
| Aslak Tveito | 4 | 73 | 32.49 |