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Your search keyword '"Bendahmane, Mostafa"' showing total 1 results
Start Over Author "Bendahmane, Mostafa" Topic finite volume scheme Publication Year Range Last 50 years Journal applied numerical mathematics
1 results on '"Bendahmane, Mostafa"'

1. Convergence of a finite volume scheme for the bidomain model of cardiac tissue

Author

Bendahmane, Mostafa and Karlsen, Kenneth H.

Subjects
*FINITE volume method, *NUMERICAL analysis, *ELECTROPHYSIOLOGY, *HEART
Abstract

Abstract: We analyze a finite volume scheme for the bidomain model, which is a degenerate reaction–diffusion system modeling electrophysiological waves in cardiac tissue. We establish existence and uniqueness of solutions to the finite volume scheme, and show that it converges to a weak solution of the bidomain model. The convergence proof is based on deriving series of a priori estimates and using a general compactness criterion. [Copyright &y& Elsevier]

Published
2009
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