An analysis of the discontinuous Galerkin method for a scalar hyperbolic equation

Error estimates for the third order explicit Runge-Kutta discontinuous Galerkin method for a linear hyperbolic equation in one-dimension with discontinuous initial data

Numerische Mathematik ◽

10.1007/s00211-013-0573-1 ◽

2013 ◽

Vol 126 (4) ◽

pp. 703-740 ◽

Cited By ~ 21

Author(s):

Qiang Zhang ◽

Chi-Wang Shu

Keyword(s):

Initial Data ◽

Galerkin Method ◽

Hyperbolic Equation ◽

Discontinuous Galerkin ◽

One Dimension ◽

Third Order ◽

Linear Hyperbolic Equation ◽

The Third ◽

Discontinuous Initial Data

A High Order Accurate Nodal Discontinuous Galerkin Method (DGM) for Numerical Solution of Hyperbolic Equation

International Journal of Applied Physics and Mathematics ◽

10.7763/ijapm.2012.v2.135 ◽

2012 ◽

pp. 362-364 ◽

Cited By ~ 3

Author(s):

Fareed Ahmed ◽

Faheem Ahmed ◽

YongHang Guo ◽

Yong Yang

Keyword(s):

Galerkin Method ◽

Numerical Solution ◽

Hyperbolic Equation ◽

Discontinuous Galerkin ◽

Nodal Discontinuous Galerkin Method

High Order ◽

CONVERGENCE OF THE DISCONTINUOUS GALERKIN METHOD FOR A SCALAR HYPERBOLIC EQUATION

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30208-x ◽

1993 ◽

Vol 13 (2) ◽

pp. 207-210 ◽

Cited By ~ 8

Author(s):

Qun Lin ◽

Aihui Zhou

Keyword(s):

Galerkin Method ◽

Hyperbolic Equation ◽

Discontinuous Galerkin ◽

A Note on the Convergence of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation

SIAM Journal on Numerical Analysis ◽

10.1137/0728006 ◽

1991 ◽

Vol 28 (1) ◽

pp. 133-140 ◽

Cited By ~ 115

Author(s):

Todd E. Peterson

Keyword(s):

Galerkin Method ◽

Hyperbolic Equation ◽

Discontinuous Galerkin ◽

Superconvergence Analysis of the Runge-Kutta Discontinuous Galerkin Method with Upwind-Biased Numerical Flux for Two-Dimensional Linear Hyperbolic Equation

Communications on Applied Mathematics and Computation ◽

10.1007/s42967-020-00116-z ◽

2021 ◽

Author(s):

Yuan Xu ◽

Qiang Zhang

Keyword(s):

Galerkin Method ◽

Hyperbolic Equation ◽

Discontinuous Galerkin ◽

Two Dimensional ◽

Linear Hyperbolic Equation ◽

Numerical Flux ◽

Runge Kutta

SELECTION OF VISCOUS TERMS APPROXIMATION IN DISCONTINUOUS GALERKIN METHOD

TsAGI Science Journal ◽

10.1615/tsagiscij.2013009684 ◽

2013 ◽

Vol 44 (3) ◽

pp. 327-354

Author(s):

Aleksey Igorevich Troshin ◽

Vladimir Viktorovich Vlasenko ◽

Andrey Viktorovich Wolkov

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Selection Of

The Extension of A Limiting Algorithm for Discontinuous Galerkin Method to Higher Order

19th AIAA Computational Fluid Dynamics ◽

10.2514/6.2009-3982 ◽

2009 ◽

Author(s):

Adrian Maroni ◽

Klaus Hoffmann

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Higher Order

Correction: A Discontinuous Galerkin method for Non-Equilibrium Multi-Material Flows on Unstructured Grids

AIAA Scitech 2020 Forum ◽

10.2514/6.2020-1313.c1 ◽

2020 ◽

Author(s):

Aditya Pandare ◽

Jacob Waltz ◽

Jozsef Bakosi

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Unstructured Grids ◽

Material Flows ◽

Non Equilibrium

A level-set discontinuous galerkin method for polymorphic phase change

10.26226/morressier.5f5f8e69aa777f8ba5bd5ff1 ◽

2020 ◽

Author(s):

Arjun Narayanan ◽

Stephen Morris

Keyword(s):

Phase Change ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Level Set ◽

Numerical Behavior of the Discontinuous Galerkin Method in Incompressible Fluid Flow Simulations for Low Reynolds Number

10.26678/abcm.cobem2017.cob17-2592 ◽

2017 ◽

Author(s):

Francisco Augusto Aparecido Gomes ◽

Paulo Rogério Novak ◽

Aureo Quintas Garcia ◽

Mildred Ballin Hecke ◽

Fernando José da Silva

Keyword(s):

Reynolds Number ◽

Fluid Flow ◽

Incompressible Fluid ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Low Reynolds Number ◽

Incompressible Fluid Flow ◽

Flow Simulations ◽

Low Reynolds