GPU Accelerated Discontinuous Galerkin Methods for Shallow Water Equations
, 2014 We discuss the development, verification, and performance of a GPU accelerated discontinuous Galerkin method for the solutions of two dimensional nonlinear shallow water equations. The shallow water equations are hyperbolic partial differential equations
Gandham, R, Medina, D S, Warburton, T
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A local discontinuous Galerkin method based on variational structure
Discrete & Continuous Dynamical Systems - S, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aimoto, Yoshifumi +2 more
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, 2018 This paper presents the first analysis of a space--time hybridizable discontinuous Galerkin method for the advection--diffusion problem on time-dependent domains.
Cesmelioglu, Aycil +3 more
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A locally field-aligned discontinuous Galerkin method
, 2018 Motivated by problems in plasma physics, we deduce several models in two- and three-dimensional geometries and construct a discontinuous Galerkin (DG) method using a non-conforming locally field-aligned mesh. This approach allows us to distribute resolution parallel and perpendicular to the magnetic field.
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A posteriori error approximation in discontinuous Galerkin method on polygonal meshes in elliptic problems. [PDF]
Sci Rep, 2023 Jaśkowiec J, Pamin J.
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A priori and a posteriori error analysis of the first order hyperbolic equation by using DG method. [PDF]
PLoS One, 2023 Hossain MS, Xiong C, Sun H.
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An Optimized Schwarz Method for the Optical Response Model Discretized by HDG Method. [PDF]
Entropy (Basel), 2023 Chen JF, Gu XM, Li L, Zhou P.
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A Computational Fluid Dynamics Investigation of a Flapping Hydrofoil as a Thruster. [PDF]
Biomimetics (Basel), 2023 Alberti L +3 more
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Local discontinuous Galerkin method for the integral fractional Laplacian
We develop and analyze a local discontinuous Galerkin (LDG) method for solving integral fractional Laplacian problems on bounded Lipschitz domains. The method is based on a three-field mixed formulation involving the primal variable, its gradient, and the corresponding Riesz potential, yielding a flux-based structure well suited for LDG discretizations
Han, Rubing, Wu, Shuonan, Zhou, Hao
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Transmission dynamics of a novel HIV/AIDS model through a higher-order Galerkin time discretization scheme. [PDF]
Sci Rep, 2023 Attaullah +4 more
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