A Scalable Newton–Krylov–Schwarz Method for the Bidomain Reaction-Diffusion System

DOI10.1137/08074355XzbMath1205.65261MaRDI QIDQ3162134

Luca F. Pavarino, Marilena Munteanu, Simone Scacchi

Publication date: 19 October 2010

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

finite element methodnumerical examplesdomain decompositionparallel computationcondition numberstiff systemoverlapping Schwarz preconditionersnonlinear reaction-diffusion systemsNewton-Krylov-Schwarz methodsdegenerate parabolic reaction-diffusion equationsmonodomain and bidomain models

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Reaction-diffusion equations (35K57) Degenerate parabolic equations (35K65) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Parallel numerical computation (65Y05) 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