Numerical error analysis for an energy-stable HDG method for the Allen–Cahn equation
MS Fabien - Journal of Computational and Applied Mathematics, 2022 - Elsevier
This paper presents an energy-stable hybridizable interior penalty discontinuous Galerkin
method for the Allen–Cahn equation. To obtain an unconditionally energy stable scheme …
method for the Allen–Cahn equation. To obtain an unconditionally energy stable scheme …
Hybridizable discontinuous Galerkin method with mixed-order spaces for non-linear diffusion equations with internal jumps
We formulate a hybridizable discontinuous Galerkin method for parabolic equations with
non-linear tensor-valued coefficients and jump conditions (Henry's law). The analysis of the …
non-linear tensor-valued coefficients and jump conditions (Henry's law). The analysis of the …
Generalized multiscale hybridizable discontinuous Galerkin (GMsHDG) method for flows in nonlinear porous media
M Moon - Journal of Computational and Applied Mathematics, 2022 - Elsevier
In this paper, we present a generalized multiscale hybridizable discontinuous Galerkin
(GMsHDG) method for nonlinear porous media. We modified the spectral multiscale HDG …
(GMsHDG) method for nonlinear porous media. We modified the spectral multiscale HDG …
HYBRIDIZABLE DISCONTINUOUS GALERKIN METHOD FOR ELLIPTIC EQUATIONS WITH NONLINEAR COEFFICIENTS
M MINAM - Journal of the Korean Society for Industrial and Applied …, 2022 - koreascience.kr
In this paper, we analyze the hybridizable discontinuous Galerkin (HDG) method for second-
order elliptic equations with nonlinear coefficients, which are used in many fields. We …
order elliptic equations with nonlinear coefficients, which are used in many fields. We …