The Two-Point Finite Volume Scheme for the Microscopic Bidomain Model of Electrocardiology
COUDIÈRE, Yves
Modélisation et calculs pour l'électrophysiologie cardiaque [CARMEN]
Institut de rythmologie et modélisation cardiaque [Pessac] [IHU Liryc]
Institut de Mathématiques de Bordeaux [IMB]
Modélisation et calculs pour l'électrophysiologie cardiaque [CARMEN]
Institut de rythmologie et modélisation cardiaque [Pessac] [IHU Liryc]
Institut de Mathématiques de Bordeaux [IMB]
COUDIÈRE, Yves
Modélisation et calculs pour l'électrophysiologie cardiaque [CARMEN]
Institut de rythmologie et modélisation cardiaque [Pessac] [IHU Liryc]
Institut de Mathématiques de Bordeaux [IMB]
< Reduce
Modélisation et calculs pour l'électrophysiologie cardiaque [CARMEN]
Institut de rythmologie et modélisation cardiaque [Pessac] [IHU Liryc]
Institut de Mathématiques de Bordeaux [IMB]
Language
en
Communication dans un congrès
This item was published in
FVCA 10 - Finite Volume for Complex applications 10, 2023-10-30, Strasbourg.
English Abstract
We are interested in the approximation of a cardiac microscopic model. It is a set of Laplace equations with non-standard, timedependent, transmission conditions, for which finite volume methods are of real interest. The ...Read more >
We are interested in the approximation of a cardiac microscopic model. It is a set of Laplace equations with non-standard, timedependent, transmission conditions, for which finite volume methods are of real interest. The transmission conditions state as ordinary differential equations on the jump of the potential, namely the transmembrane voltage, so that we keep this voltage as an unknown in our scheme. Here we extend the two-point flux approximation to the discretization of this model, show that it converges, and compute error estimates.Read less <
English Keywords
finite volumes
error estimate
cardiac EMI model
Origin
Hal imported