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A Discontinuous Galerkin Chimera scheme
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Galbraith, Marshall C +3 more
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An Unfitted Discontinuous Galerkin Method for Elliptic Interface Problems
An unfitted discontinuous Galerkin method is proposed for the elliptic interface problems. Based on a variant of the local discontinuous Galerkin method, we obtain the optimal convergence for the exact solution u in the energy norm and its flux p in the ...
Qiuliang Wang, Jinru Chen
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hp-adaptive discontinuous Galerkin solver for elliptic equations in numerical relativity
A considerable amount of attention has been given to discontinuous Galerkin methods for hyperbolic problems in numerical relativity, showing potential advantages of the methods in dealing with hydrodynamical shocks and other discontinuities.
Fischer, N., Pfeiffer, H., Vincent, T.
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Palindromic Discontinuous Galerkin Method [PDF]
We present a high-order scheme for approximating kinetic equations with stiff relaxation. The construction is based on a high-order, implicit, upwind Discontinuous Galerkin formulation of the transport equations. In practice, because of the triangular structure of the implicit system, the computations are explicit. High order in time is achieved thanks
Coulette, David +4 more
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We propose, analyze, and test a fully discrete local discontinuous Galerkin (LDG) finite element method for a time-fractional diffusion equation. The proposed method is based on a finite difference scheme in time and local discontinuous Galerkin methods ...
Leilei Wei, Xindong Zhang
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Discontinuous Galerkin approach for two-parametric convection-diffusion equation with discontinuous source term [PDF]
In this article, we explore the discontinuous Galerkin finite element method for two-parametric singularly perturbed convection-diffusion problems with a discontinuous source term.
K. R. Ranjan, S. Gowrisankar
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An hybridizable discontinuous Galerkin method of arbitrary high order is formulated to solve the miscible displacement problem in porous media. The spatial discretization is combined with a sequential algorithm that decouples the flow and the transport ...
Maurice S. Fabien +2 more
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Resolving phase transitions with discontinuous Galerkin methods
We demonstrate the applicability and advantages of Discontinuous Galerkin (DG) schemes in the context of the Functional Renormalization Group (fRG). We investigate the $O(N)$-model in the large $N$ limit.
Eduardo Grossi, Nicolas Wink
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Quail: A lightweight open-source discontinuous Galerkin code in Python for teaching and prototyping
In this paper, we present Quail, a lightweight discontinuous Galerkin solver written in Python. The aim of this code is to serve not only as a teaching tool for newcomers to the rapidly growing field, but also as a prototyping platform for testing ...
Eric J. Ching +3 more
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In this work, we apply a time-space adaptive discontinuous Galerkin method using the elliptic reconstruction technique with a robust (in P\'eclet number) elliptic error estimator in space, for the convection dominated parabolic problems with non-linear ...
Karasözen, Bülent, Uzunca, Murat
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