Results 111 to 120 of about 121,260 (302)

Distributional derivatives and stability of discontinuous Galerkin finite element approximation methods

Electronic Journal of Differential Equations, 2016
The goal of this article is to explore and motivate stabilization requirements for various types of discontinuous Galerkin (DG) methods. A new approach for the understanding of DG approximation methods for second order elliptic partial differential ...
Thomas Lewis
doaj  

Cell Agglomeration Strategy for Cut Cells in eXtended Discontinuous Galerkin Methods

International Journal for Numerical Methods in Engineering, Volume 126, Issue 9, 15 May 2025.
ABSTRACT In this work, a cell agglomeration strategy for the cut cells arising in the eXtended discontinuous Galerkin (XDG) method is presented. Cut cells are a fundamental aspect of unfitted mesh approaches, where complex geometries or interfaces separating subdomains are embedded into structured background grids to facilitate the mesh generation ...
Teoman Toprak, Matthias Rieckmann, Florian Kummer   +2 more
wiley   +1 more source

A Space-Time Discontinuous Galerkin Trefftz Method for time dependent Maxwell's equations

, 2014
We consider the discretization of electromagnetic wave propagation problems by a discontinuous Galerkin Method based on Trefftz polynomials. This method fits into an abstract framework for space-time discontinuous Galerkin methods for which we can prove ...
Egger, Herbert, Kretzschmar, Fritz, Schnepp, Sascha M., Weiland, Thomas   +3 more
core  

DEIP, discontinuous element insertion Program — Mesh generation for interfacial finite element modeling

SoftwareX, 2018
The Discontinuous Element Insertion Program is a MATLAB/Octave toolbox for inserting zero-thickness interface elements into two and three dimensional finite element meshes.
Timothy J. Truster
doaj  

Discontinuous Galerkin finite element approximation of non-divergence form elliptic equations with Cordes coefficients [PDF]

, 2012
Non-divergence form elliptic equations with discontinuous coefficients do not generally posses a weak formulation, thus presenting an obstacle to their numerical solution by classical finite element methods.
Smears, Iain, Suli, Endre
core  

Difference interior penalty discontinuous Galerkin method for the 3D elliptic equation

Results in Applied Mathematics
This paper presents a difference interior penalty discontinuous Galerkin method for the 3D elliptic boundary-value problem. The main idea of this method is to combine the finite difference discretization in the z-direction with the interior penalty ...
Jian Li, Wei Yuan, Luling Cao
doaj  

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

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 weighted Runge–Kutta discontinuous Galerkin method for wavefield modelling

, 2015
Summary In this paper, we develop a weighted Runge-Kutta discontinuous Galerkin method for the wavefield modeling, which is simply called the WRKDG method.
Xijun He, Dinghui Yang, Hao Wu
semanticscholar   +1 more source

Variational Convergence of IP-DGFEM [PDF]

, 2007
In this paper, we develop the theory required to perform a variational convergence analysis for discontinuous Galerkin nite element methods when applied to minimization problems. For Sobolev indices in $\left[1;\infty\right)$, we prove generalizations of
Buffa, Annalisa, Ortner, Christoph
core