Abstract | ||
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We prove convergence of discrete duality finite volume (DDFV) schemes on distorted meshes for a class of simplified macroscopic bidomain models of the electrical activity in the heart. Both time-implicit and linearised time-implicit schemes are treated. A short description is given of the 3D DDFV meshes and of some of the associated discrete calculus tools. Several numerical tests are presented. |
Year | DOI | Venue |
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2011 | 10.3934/nhm.2011.6.195 | NETWORKS AND HETEROGENEOUS MEDIA |
Keywords | Field | DocType |
Cardiac electrical activity,bidomain model,finite volume schemes,3D DDFV convergence,degenerate parabolic PDE | Convergence (routing),Bidomain model,Numerical tests,Mathematical optimization,Polygon mesh,Mathematical analysis,Duality (optimization),Finite volume method,Mathematics | Journal |
Volume | Issue | ISSN |
6 | 2 | 1556-1801 |
Citations | PageRank | References |
1 | 0.38 | 9 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Boris Andreianov | 1 | 27 | 5.70 |
Mostafa Bendahmane | 2 | 35 | 9.38 |
Kenneth H. Karlsen | 3 | 119 | 23.76 |
Charles Pierre | 4 | 9 | 3.88 |