Design and Analysis of a Lightweight Parallel Adaptive Scheme for the Solution of the Monodomain Equation

DOI10.1137/130912505zbMath1323.92055OpenAlexW1982935319MaRDI QIDQ2875019

Dorian Krause, Thomas Dickopf, Mark Potse, Rolf H. Krause

Publication date: 13 August 2014

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

Full work available at URL: https://semanticscholar.org/paper/354e2d8409b9ce381446ba8e68f1453c41d15bff

zbMATH Keywords

adaptivityelectrophysiologymortar finite elements

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Biomedical imaging and signal processing (92C55) Physiology (general) (92C30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Parallel numerical computation (65Y05)

Related Items (8)

Towards a large-scale scalable adaptive heart model using shallow tree meshes ⋮ Anatomically accurate high resolution modeling of human whole heart electromechanics: A strongly scalable algebraic multigrid solver method for nonlinear deformation ⋮ An explicit local space-time adaptive framework for monodomain models in cardiac electrophysiology ⋮ High-dimensional and higher-order multifidelity Monte Carlo estimators ⋮ Enabling local time stepping in the parallel implicit solution of reaction-diffusion equations via space-time finite elements on shallow tree meshes ⋮ Integrated heart -- coupling multiscale and multiphysics models for the simulation of the cardiac function ⋮ Performance and Scalability of Hierarchical Hybrid Multigrid Solvers for Stokes Systems ⋮ Newton-Krylov-BDDC deluxe solvers for non-symmetric fully implicit time discretizations of the bidomain model

Uses Software

• PETSc
• SAMRAI
• UG
• p4est

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