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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Well-balanced positivity-preserving high-order discontinuous Galerkin methods for Euler equations with gravitation
引力 欧拉方程 高阶间断 Galerkin方法
2023/11/29
We develop high order discontinuous Galerkin (DG) methods with Lax-Friedrich fluxes for Euler equations under gravitational fields. Such problems may yield steady-state solutions and the density and p...
QUASI-OPTIMAL CONVERGENCE RATE OF AN ADAPTIVE DISCONTINUOUS GALERKIN METHOD
Discontinuous Galerkin interior penalty nonconforming meshes
2015/12/11
We analyze an adaptive discontinuous finite element method (ADFEM) for symmetric
second order linear elliptic operators. The method is formulated on nonconforming meshes made
of simplices or q...
Adaptive local basis set for Kohn–Sham density functional theory in a discontinuous Galerkin framework I: Total energy calculation
Electronic structure Kohn–Sham density functional theory Discontinuous Galerkin Adaptive local basis set Enrichment functions Eigenvalue problem
2015/7/14
Kohn–Sham density functional theory is one of the most widely used electronic structure theories. In the pseudopotential framework, uniform discretization of the Kohn–Sham Hamiltonian generally result...
Shock detection and capturing methods for high order Discontinuous-Galerkin Finite Element Methods
Shock detection capturing methods high order Discontinuous-Galerkin Finite Element Methods
2015/7/6
High-order Discontinuous Galerkin (DG) methods have shown a lot of promise in being able to provide high accuracy and eciency as well as the exibility to handle complex unstructured grids. However in...
Connections between the filtered discontinuous Galerkin method and the flux reconstruction approach to high order discretizations
High order methods Discontinuous Galerkin Energy stability
2015/7/3
The purpose of this paper is to provide new insights on the connections that exist between the discontinuous Galerkin method (DG), the flux reconstruction method (FR) and the recently identi@...
Kinetic Energy Conserving Discontinuous Galerkin Scheme
Kinetic Energy Conserving Discontinuous Galerkin Scheme
2015/7/3
In this document, we present a proof that generalizes Jameson’s Kinetic Energy Preserving Finite Volume scheme to higher order Discontinuous Garlerkin method. We then present some results and discuss ...
Regional wave propagation using the discontinuous Galerkin method
Galerkin area had a continuous wave propagation unstructured tetrahedral mesh integration higher derivative simulate the high frequency wave field propagation distance
2015/1/5
We present an application of the discontinuous Galerkin (DG) method to regional wave propagation. The method makes use of unstructured tetrahedral meshes, combined with a time integration scheme solvi...
Discontinuous Galerkin Method for Total Variation Minimization on one-dimensional Inpainting Problem
finite element method discontinuous Galerkin method total variation minimization inpainting
2011/9/15
Abstract: This paper is concerned with the numerical minimization of energy functionals in $BV(\Omega)$ (the space of bounded variation functions) involving total variation for gray-scale 1-dimensiona...
Multilevel Preconditioners for Discontinuous Galerkin Approximations of Elliptic Problems with Jump Coefficients
Multilevel preconditioner discontinuous Galerkin methods Crouzeix-Raviart nite elements
2011/1/19
In this article we develop and analyze two-level and multi-level methods for the
family of Interior Penalty (IP) discontinuous Galerkin (DG) discretizations of second order
elliptic problems with ro...
Discontinuous Galerkin method for time-domain electromagnetics on curvilinear domains
Discontinuous Galerkin method time-domain electromagnetics curvilinear domains
2010/9/21
Discontinuous Galerkin method for time-domain electromagnetics on curvilinear domains.
A posteriori error estimator based on gradient recovery by averaging for convection-diffusion-reaction problems approximated by discontinuous Galerkin methods
averaging convection-diffusion-reaction problems discontinuous Galerkin methods
2010/11/9
We consider some (anisotropic and piecewise constant) convection-diffusion-reaction problems in domains of R2, approximated by a discontinuous Galerkin method with polynomials of any degree. We propos...
A discontinuous Galerkin method for the Vlasov-Poisson system
Discontinuous Galerkin method Vlasov-Poisson system
2010/12/15
A discontinuous Galerkin method for approximating the Vlasov-Poisson system of equations describing the time evolution of a collisionless plasma is proposed. The method is mass conservative and, in th...
Moving Mesh Discontinuous Galerkin Method for Hyperbolic Conservation Laws
DG for hyperbolic conservation laws Moving Mesh Method
2012/7/31
In this paper, a moving mesh discontinuous Galerkin (DG) method is developed to solve the nonlinear conservation laws. In the mesh adaptation part, two issues
have received much attention. One is abo...