Convergence Analysis of BDDC Preconditioners for Composite DG Discretizations of the Cardiac Cell-By-Cell Model

DOI10.1137/22m1542532zbMath1527.65138arXiv2212.12295MaRDI QIDQ6087750

Ngoc Mai Monica Huynh, Simone Scacchi, Martin Weiser, Fatemeh Chegini, Luca F. Pavarino

Publication date: 16 November 2023

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

Full work available at URL: https://arxiv.org/abs/2212.12295

zbMATH Keywords

BDDC preconditionersscalable domain decomposition methodscardiac cell-by-cell modelscomposite discontinuous Galerkin methods

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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) Iterative numerical methods for linear systems (65F10) Physiology (general) (92C30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Cell biology (92C37) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Computational methods for problems pertaining to biology (92-08) Preconditioners for iterative methods (65F08)

Related Items (3)

An explicit local space-time adaptive framework for monodomain models in cardiac electrophysiology ⋮ Convergence analysis for virtual element discretizations of the cardiac bidomain model ⋮ Modeling excitable cells with the EMI equations: spectral analysis and iterative solution strategy

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