Results 21 to 30 of about 37,916 (260)
Journal of Inequalities and Applications, 2010 We analyze discontinuous Galerkin methods with penalty terms, namely, symmetric interior penalty Galerkin methods, to solve nonlinear Sobolev equations.
Hyun Young Lee +2 more
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SpECTRE: A Task-based Discontinuous Galerkin Code for Relativistic Astrophysics [PDF]
, 2017 We introduce a new relativistic astrophysics code, SpECTRE, that combines a discontinuous Galerkin method with a task-based parallelism model. SpECTRE's goal is to achieve more accurate solutions for challenging relativistic astrophysics problems such as
Bohn, Andy +13 more
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Advances in Mathematical Physics, 2017 We focus on developing the finite difference (i.e., backward Euler difference or second-order central difference)/local discontinuous Galerkin finite element mixed method to construct and analyze a kind of efficient, accurate, flexible, numerical schemes
Meilan Qiu, Liquan Mei, Dewang Li
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Multisymplecticity of Hybridizable Discontinuous Galerkin Methods [PDF]
Foundations of Computational Mathematics, 2019 In this paper, we prove necessary and sufficient conditions for a hybridizable discontinuous Galerkin (HDG) method to satisfy a multisymplectic conservation law, when applied to a canonical Hamiltonian system of partial differential equations. We show that these conditions are satisfied by the "hybridized" versions of several of the most commonly-used ...
McLachlan, Robert I., Stern, Ari
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Robust Interior Penalty Discontinuous Galerkin Methods
Journal of Scientific Computing, 2022 Classical interior penalty discontinuous Galerkin (IPDG) methods for diffusion problems require a number of assumptions on the local variation of mesh-size, polynomial degree, and of the diffusion coefficient to determine the values of the, so-called, discontinuity-penalization parameter and/or to perform error analysis.
Dong, Zhaonan, Georgoulis, Emmanuil
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An Entropy Stable Discontinuous Galerkin Finite-Element Moment Method for the Boltzmann Equation [PDF]
, 2016 This paper presents a numerical approximation technique for the Boltzmann equation based on a moment system approximation in velocity dependence and a discontinuous Galerkin finite-element approximation in position dependence.
Abdelmalik, M. R. A. +1 more
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Mathematical Modelling and Analysis, 2012 In this paper we develop and analyze an implicit fully discrete local discontinuous Galerkin (LDG) finite element method for a time-fractional Zakharov–Kuznetsov equation.
Zongxiu Ren +3 more
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Implicit large-eddy simulation of compressible flows using the Interior Embedded Discontinuous Galerkin method [PDF]
, 2016 We present a high-order implicit large-eddy simulation (ILES) approach for simulating transitional turbulent flows. The approach consists of an Interior Embedded Discontinuous Galerkin (IEDG) method for the discretization of the compressible Navier ...
Fernandez, Pablo +3 more
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Palindromic Discontinuous Galerkin Method [PDF]
, 2017 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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Numerical analysis of the neutron multigroup $SP_N$ equations
Comptes Rendus. Mathématique, 2021 The multigroup neutron $SP_N$ equations, which are an approximation of the neutron transport equation, are used to model nuclear reactor cores. In their steady state, these equations can be written as a source problem or an eigenvalue problem.
Jamelot, Erell, Madiot, François
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