Results 81 to 90 of about 21,729 (184)

An optimization-based approach for high-order accurate discretization of conservation laws with discontinuous solutions

, 2018
This work introduces a novel discontinuity-tracking framework for resolving discontinuous solutions of conservation laws with high-order numerical discretizations that support inter-element solution discontinuities, such as discontinuous Galerkin methods.
Persson, Per-Olof, Zahr, Matthew J.
core   +1 more source

Space-time discontinuous Galerkin method for the compressible Navier-Stokes equations on deforming meshes [PDF]

, 2006
An overview is given of a space-time discontinuous Galerkin finite element method for the compressible Navier-Stokes equations. This method is well suited for problems with moving (free) boundaries which require the use of deforming elements. In addition,
Bos, F. van der, Klaij, C.M., Vegt, J.J.W. van der, Ven, H. van der   +3 more
core   +1 more source

A space-time discontinuous Galerkin finite element method for two-fluid problems [PDF]

, 2007
A space-time discontinuous Galerkin finite element method for two fluid flow problems is presented. By using a combination of level set and cut-cell methods the interface between two fluids is tracked in space-time. The movement of the interface in space-
Bokhove, O., Sollie, W.E.H., Vegt, J.J.W. van der   +2 more
core   +1 more source

Uniform stability for local discontinuous Galerkin methods with implicit-explicit Runge-Kutta time discretizations for linear convection-diffusion equation

Mathematics of Computation, 2023
Chi-Wang Shu, Qiang Zhang
semanticscholar   +1 more source

Notes on the Discontinuous Galerkin methods for the numerical simulation of hyperbolic equations 1 General Context 1.1 Bibliography

, 2016
The roots of Discontinuous Galerkin (DG) methods is usually attributed to Reed and Hills in a paper published in 1973 on the numerical approximation of the neutron transport equation [18].
Larat, Adam
core   +1 more source

Analysis of a space--time hybridizable discontinuous Galerkin method for the advection--diffusion problem on time-dependent domains

, 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, Horvath, Tamas L., Kirk, Keegan L. A., Rhebergen, Sander   +3 more
core  

Generating admissible space-time meshes for moving domains in $d+1$-dimensions

, 2015
In this paper we present a discontinuous Galerkin finite element method for the solution of the transient Stokes equations on moving domains. For the discretization we use an interior penalty Galerkin approach in space, and an upwind technique in time ...
Karabelas, Elias, Neumüller, Martin
core  

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
core  

A posteriori error approximation in discontinuous Galerkin method on polygonal meshes in elliptic problems. [PDF]

Sci Rep, 2023
Jaśkowiec J, Pamin J.
europepmc   +1 more source

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.
europepmc   +1 more source