Results 81 to 90 of about 1,001 (186)

Implementation of LDG method for 3D unstructured meshes

Revista de Matemática: Teoría y Aplicaciones, 2012
This paper describes an implementation of the Local Discontinuous Galerkin method (LDG) applied to elliptic problems in 3D. The implementation of the major operators is discussed.
Filander A. Sequeira Chavarría, Paul E. Castillo   +1 more
doaj   +1 more source

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

The discontinuous Galerkin method for the numerical simulation of compressible viscous flow

EPJ Web of Conferences, 2014
In this paper we deal with numerical simulation of the compressible viscous flow. The mathematical model of flow is represented by the system of non-stationary compressible Navier-Stokes equations.
Česenek Jan
doaj   +1 more source

Kernel-based active subspaces with application to computational fluid dynamics parametric problems using the discontinuous Galerkin method. [PDF]

Int J Numer Methods Eng, 2022
Romor F, Tezzele M, Lario A, Rozza G.
europepmc   +1 more source

Convergence of the Discontinuous Galerkin Method for Discontinuous Solutions [PDF]

SIAM Journal on Numerical Analysis, 2005
The author proves convergence of a discontinuous Galerkin method for a convection-reaction equation under very weak assumptions on the coefficients. The proof is based on work of \textit{R. J. DiPerna} and \textit{P. L. Lions} [Invent. Math. 98, 511--547 (1989; Zbl 0696.34049)]. Applications include modeling the flow of incompressible immiscible fluids.
openaire   +2 more sources

The Dual Characteristic-Galerkin Method

Comptes Rendus. Mathématique
The Dual Characteristic-Galerkin method (DCGM) is conservative, precise and experimentally positive. We present the method and prove convergence and $L^2$-stability in the case of Neumann boundary conditions. In a 2D numerical finite element setting (FEM)
Hecht, Frédéric, Pironneau, Olivier
doaj   +1 more source

Stochastic Discontinuous Galerkin Methods (SDGM) based on fluctuation-dissipation balance

Results in Applied Mathematics, 2019
We introduce a general framework for approximating parabolic Stochastic Partial Differential Equations (SPDEs) based on fluctuation-dissipation balance. Using this approach we formulate Stochastic Discontinuous Galerkin Methods (SDGM).
W. Pazner, N. Trask, P.J. Atzberger
doaj   +1 more source

Quasi-Monte Carlo and Discontinuous Galerkin

ETNA - Electronic Transactions on Numerical Analysis
In this study, we consider the development of tailored quasi-Monte Carlo (QMC) cubatures for non-conforming discontinuous Galerkin (DG) approximations of elliptic partial differential equations (PDEs) with random coefficients. We consider both the affine and uniform and the lognormal models for the input random field, and investigate the use of QMC ...
Kaarnioja, Vesa, Rupp, Andreas
openaire   +2 more sources

Stability of Discontinuous Galerkin Spectral Element Schemes for Wave Propagation when the Coefficient Matrices have Jumps. [PDF]

J Sci Comput, 2021
Kopriva DA, Gassner GJ, Nordström J.
europepmc   +1 more source

The Time Discontinuous H1-Galerkin Mixed Finite Element Method for Linear Sobolev Equations

Discrete Dynamics in Nature and Society, 2015
We combine the H1-Galerkin mixed finite element method with the time discontinuous Galerkin method to approximate linear Sobolev equations. The advantages of these two methods are fully utilized.
Hong Yu, Tongjun Sun, Na Li
doaj   +1 more source