DECOUPLED SCHWARZ ALGORITHMS FOR IMPLICIT DISCRETIZATIONS OF NONLINEAR MONODOMAIN AND BIDOMAIN SYSTEMS

DOI10.1142/S0218202509003723zbMath1178.65116MaRDI QIDQ3394254

Luca F. Pavarino, Marilena Munteanu

Publication date: 28 August 2009

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

convergencefinite element methoddomain decompositionnumerical experimentstime step controloverlapping Schwarz preconditionersnonlinear reaction-diffusion systemsNewton-Krylov-Schwarz methodsmonodomain and bidomain modelselectric activity of heart tissueimplicit Euler and Rosenbrock methods

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Preconditioners for iterative methods (65F08)

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Uses Software

• PETSc
• NewtonLib

Cites Work

• Unnamed Item
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