[图书][B] Mathematical cardiac electrophysiology
This book covers the main mathematical and numerical models in computational
electrocardiology, ranging from microscopic membrane models of cardiac ionic channels to …
electrocardiology, ranging from microscopic membrane models of cardiac ionic channels to …
PCBDDC: a class of robust dual-primal methods in PETSc
S Zampini - SIAM Journal on Scientific Computing, 2016 - SIAM
A class of preconditioners based on balancing domain decomposition by constraints
methods is introduced in the Portable, Extensible Toolkit for Scientific Computation (PETSc) …
methods is introduced in the Portable, Extensible Toolkit for Scientific Computation (PETSc) …
Convergence analysis of BDDC preconditioners for composite DG discretizations of the cardiac cell-by-cell model
A balancing domain decomposition by constraints (BDDC) preconditioner is constructed and
analyzed for the solution of composite discontinuous Galerkin discretizations of reaction …
analyzed for the solution of composite discontinuous Galerkin discretizations of reaction …
BDDC algorithms with deluxe scaling and adaptive selection of primal constraints for Raviart-Thomas vector fields
A BDDC domain decomposition preconditioner is defined by a coarse component,
expressed in terms of primal constraints, a weighted average across the interface between …
expressed in terms of primal constraints, a weighted average across the interface between …
A numerical study of scalable cardiac electro-mechanical solvers on HPC architectures
We introduce and study some scalable domain decomposition preconditioners for cardiac
electro-mechanical 3D simulations on parallel HPC (High Performance Computing) …
electro-mechanical 3D simulations on parallel HPC (High Performance Computing) …
Robust parallel nonlinear solvers for implicit time discretizations of the Bidomain equations with staggered ionic models
In this work, we study the convergence and performance of nonlinear solvers for the
Bidomain equations after decoupling the ordinary and partial differential equations of the …
Bidomain equations after decoupling the ordinary and partial differential equations of the …
BDDC preconditioners for divergence free virtual element discretizations of the Stokes equations
T Bevilacqua, S Scacchi - Journal of Scientific Computing, 2022 - Springer
The virtual element method (VEM) is a new family of numerical methods for the
approximation of partial differential equations, where the geometry of the polytopal mesh …
approximation of partial differential equations, where the geometry of the polytopal mesh …
[HTML][HTML] A comparison of Algebraic Multigrid Bidomain solvers on hybrid CPU–GPU architectures
E Centofanti, S Scacchi - Computer Methods in Applied Mechanics and …, 2024 - Elsevier
The numerical simulation of cardiac electrophysiology is a highly challenging problem in
scientific computing. The Bidomain system is the most complete mathematical model of …
scientific computing. The Bidomain system is the most complete mathematical model of …
Algebraic multigrid methods for metric-perturbed coupled problems
We develop multilevel methods for interface-driven multiphysics problems that can be
coupled across dimensions and where complexity and strength of the interface coupling …
coupled across dimensions and where complexity and strength of the interface coupling …
Parallel Newton--Krylov BDDC and FETI-DP Deluxe Solvers for Implicit Time discretizations of the Cardiac Bidomain Equations
Two novel parallel Newton--Krylov balancing domain decomposition by constraints (BDDC)
and dual-primal finite element tearing and interconnecting (FETI-DP) solvers with deluxe …
and dual-primal finite element tearing and interconnecting (FETI-DP) solvers with deluxe …