Parallel Multilevel Schwarz and Block Preconditioners for the Bidomain Parabolic-Parabolic and Parabolic-Elliptic Formulations

DOI10.1137/100808721zbMath1233.65070OpenAlexW2040425390MaRDI QIDQ3103548

Publication date: 7 December 2011

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

Full work available at URL: https://doi.org/10.1137/100808721

zbMATH Keywords

convergence numerical examples parallel computation domain decomposition methods reaction-diffusion equation block preconditioners electrocardiology bidomain system

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs of mixed type (35M10) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Iterative numerical methods for linear systems (65F10) Physiology (general) (92C30) Parallel numerical computation (65Y05) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Preconditioners for iterative methods (65F08)

Related Items (12)

Efficient estimation of cardiac conductivities: a proper generalized decomposition approach ⋮ A multilevel extension of the GDSW overlapping Schwarz preconditioner in two dimensions ⋮ Balancing Neumann-Neumann methods for the cardiac bidomain model ⋮ Parallel Scalability of Three-Level FROSch Preconditioners to 220000 Cores using the Theta Supercomputer ⋮ A two-parameter modified splitting preconditioner for the bidomain equations ⋮ A splitting preconditioner for implicit Runge-Kutta discretizations of a partial differential-algebraic equation ⋮ DUAL-PRIMAL METHODS FOR THE CARDIAC BIDOMAIN MODEL ⋮ Parallel and space-time adaptivity for the numerical simulation of cardiac action potentials ⋮ Isogeometric Overlapping Additive Schwarz Solvers for the Bidomain System ⋮ Isogeometric overlapping Schwarz preconditioners for the bidomain reaction-diffusion system ⋮ Parallel space-time adaptive numerical simulation of 3D cardiac electrophysiology ⋮ BPX preconditioners for the Bidomain model of electrocardiology

Uses Software

PETSc

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