The construction of preconditioners for elliptic problems by substructuring. I
Mathematics of Computation
Efficient simulation of action potential propagation in a bidomain
Efficient simulation of action potential propagation in a bidomain
A Multigrid Algorithm for the Mortar Finite Element Method
SIAM Journal on Numerical Analysis
Finite Element Method for Elliptic Problems
Finite Element Method for Elliptic Problems
Iterative Substructuring Preconditioners for Mortar Element Methods in Two Dimensions
SIAM Journal on Numerical Analysis
Efficient algebraic solution of reaction-diffusion systems for the cardiac excitation process
Journal of Computational and Applied Mathematics
A modular simulation system for the bidomain equations
A modular simulation system for the bidomain equations
A space-time adaptive mesh refinement method for simulating complex cardiac electrical dynamics
A space-time adaptive mesh refinement method for simulating complex cardiac electrical dynamics
Algebraic multigrid preconditioners for the bidomain reaction--diffusion system
Applied Numerical Mathematics
Fast Structured AMG Preconditioning for the Bidomain Model in Electrocardiology
SIAM Journal on Scientific Computing
Efficient simulation of cardiac electrical propagation using high order finite elements
Journal of Computational Physics
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This paper deals with the efficient and accurate computation of extracellular potentials in a simplified model of myocardial tissue. The electrical activity of the heart is characterized by a narrow wavefront spreading through the myocardium. To increase the accuracy of the computation, a non-conforming non-overlapping domain decomposition based on the mortar method is used, allowing adaptivity in the regions closed to the wavefront. The benefits of the adaptive grid refinement process are illustrated by numerical results that show how the method works and its efficiency if compared to the classical conforming Finite Element Method.