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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…
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…