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Preconditioning of a hybridizable discontinuous Galerkin method for the coupled Stokes--Darcy system
Esteban Henríquez, Miroslav Kuchta, Jeonghun J. Lee +1
We propose parameter-robust preconditioners for the statically condensed linear system arising from a hybridizable discontinuous Galerkin discretization of the coupled Stokes--Darc…
Analysis of a Discontinuous Galerkin Method for Diffusion Problems on Intersecting Domains
Miroslav Kuchta, Rami Masri, Beatrice Riviere
The interior penalty discontinuous Galerkin method is applied to solve elliptic equations on either networks of segments or networks of planar surfaces, with arbitrary but fixed nu…
Parameter-robust preconditioners for a cell-by-cell poroelasticity model with interface coupling
Marius Causemann, Miroslav Kuchta
This paper presents a scalable and robust solver for a cell-by-cell poroelasticity model, describing the mechanical interactions between brain cells embedded in extracellular space…
A Discontinuous Galerkin Method for the Extracellular Membrane Intracellular Model
Rami Masri, Keegan L. A. Kirk, Eirill Hauge +1
We formulate and analyze interior penalty discontinuous Galerkin methods for coupled elliptic PDEs modeling excitable tissue, represented by intracellular and extracellular domains…
Discontinuous Galerkin methods for 3D-1D systems
Rami Masri, Miroslav Kuchta, Beatrice Riviere
We propose and analyze discontinuous Galerkin (dG) approximations to 3D-1D coupled systems which model diffusion in a 3D domain containing a small inclusion reduced to its 1D cente…