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20212025
most citedConvergence analysis of BDDC preconditioners for composite DG discretizations of the cardiac cell-by-cell model

18 citations · 45 across the 6 of their papers we have counts for

collaborators

6 papers

math.NA2025

A BDDC Preconditioner for the Cardiac EMI Model in three Dimensions

Fritz Goebel, Ngoc Mai Monica Huynh, Fatemeh Chegini +4

We analyze a Balancing Domain Decomposition by Constraints (BDDC) preconditioner for the solution of three dimensional composite Discontinuous Galerkin discretizations of reaction-…

math.NA2024★ 1 cited

GDSW preconditioners for composite Discontinuous Galerkin discretizations of multicompartment reaction-diffusion problems

Ngoc Mai Monica Huynh, Luca Franco Pavarino, Simone Scacchi

The aim of the present work is to design, analyze theoretically, and test numerically, a generalized Dryja-Smith-Widlund (GDSW) preconditioner for composite Discontinuous Galerkin…

math.NA2022★ 18 cited

Convergence analysis of BDDC preconditioners for composite DG discretizations of the cardiac cell-by-cell model

Ngoc Mai Monica Huynh, Fatemeh Chegini, Luca Franco Pavarino +2

A Balancing Domain Decomposition by Constraints (BDDC) preconditioner is constructed and analyzed for the solution of composite Discontinuous Galerkin discretizations of reaction-d…

math.NA2022★ 3 cited

Robust parallel nonlinear solvers for implicit time discretizations of the Bidomain equations

Nicolás A. Barnafi, Ngoc Mai Monica Huynh, Luca F. Pavarino +1

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 cardi…

math.NA2021★ 11 cited

Newton-Krylov-BDDC deluxe solvers for non-symmetric fully implicit time discretizations of the Bidomain model

Ngoc Mai Monica Huynh

A novel theoretical convergence rate estimate for a Balancing Domain Decomposition by Constraints algorithm is proven for the solution of the cardiac Bidomain model, describing the…

math.NA2021★ 12 cited

Parallel Newton-Krylov-BDDC and FETI-DP deluxe solvers for implicit time discretizations of the cardiac Bidomain equations

Ngoc Mai Monica Huynh, Luca Franco Pavarino, Simone Scacchi

Two novel parallel Newton-Krylov Balancing Domain Decomposition by Constraints (BDDC) and Dual-Primal Finite Element Tearing and Interconnecting (FETI-DP) solvers are here construc…