Results 21 to 30 of about 36,161 (211)

SpECTRE: A Task-based Discontinuous Galerkin Code for Relativistic Astrophysics [PDF]

, 2017
We introduce a new relativistic astrophysics code, SpECTRE, that combines a discontinuous Galerkin method with a task-based parallelism model. SpECTRE's goal is to achieve more accurate solutions for challenging relativistic astrophysics problems such as
Bohn, Andy, Deppe, Nils, Diener, Peter, Field, Scott E., Foucart, Francois, Hébert, François, Kidder, Lawrence E., Lippuner, Jonas, Miller, Jonah, Ott, Christian D., Scheel, Mark A., Schnetter, Erik, Teukolsky, Saul A., Vincent, Trevor   +13 more
core   +2 more sources

Numerical simulations with a first order BSSN formulation of Einstein's field equations [PDF]

, 2012
We present a new fully first order strongly hyperbolic representation of the BSSN formulation of Einstein's equations with optional constraint damping terms.
Abdul H. Mroué, Erik Schnetter, F. Pretorius, Frank Herrmann, H.-O. Kreiss, J. David Brown, J. A. Schouten, J. S. Hesthaven, Jan S. Hesthaven, L. Blanchet, M. Taylor, Manuel Tiglio, Michael Wagman, Olivier Sarbach, Peter Diener, Scott E. Field, T. Goodale   +16 more
core   +3 more sources

High-order implicit palindromic discontinuous Galerkin method for kinetic-relaxation approximation [PDF]

, 2018
We construct a high order discontinuous Galerkin method for solving general hyperbolic systems of conservation laws. The method is CFL-less, matrix-free, has the complexity of an explicit scheme and can be of arbitrary order in space and time.
Coulette, David, Franck, Emmanuel, Helluy, Philippe, Mehrenberger, Michel, Navoret, Laurent   +4 more
core   +3 more sources

Fully Discrete Local Discontinuous Galerkin Approximation for Time-Space Fractional Subdiffusion/Superdiffusion Equations

Advances in Mathematical Physics, 2017
We focus on developing the finite difference (i.e., backward Euler difference or second-order central difference)/local discontinuous Galerkin finite element mixed method to construct and analyze a kind of efficient, accurate, flexible, numerical schemes
Meilan Qiu, Liquan Mei, Dewang Li
doaj   +1 more source

ADER discontinuous Galerkin Material Point Method

International Journal for Numerical Methods in Engineering, 2023
AbstractThe first‐order accurate discontinuous Galerkin Material Point Method (DGMPM), initially introduced by Renaud et al. (J Comput Phys. 2018;369:80–102.), considers a solid body discretized by a collection of material points carrying the history of the matter, embedded in an arbitrary grid on which a nodal discontinuous Galerkin approximation is ...
Alaa Lakiss, Thomas Heuzé, Mikhael Tannous, Laurent Stainier   +3 more
openaire   +2 more sources

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   +1 more source

Numerical analysis of the neutron multigroup $SP_N$ equations

Comptes Rendus. Mathématique, 2021
The multigroup neutron $SP_N$ equations, which are an approximation of the neutron transport equation, are used to model nuclear reactor cores. In their steady state, these equations can be written as a source problem or an eigenvalue problem.
Jamelot, Erell, Madiot, François
doaj   +1 more source

A Discontinuous Galerkin like Coarse Space correction for Domain Decomposition Methods with continuous local spaces: the DCS-DGLC Algorithm

ESAIM: Proceedings and Surveys, 2014
In this paper, we are interested in scalable Domain Decomposition Methods (DDM). To this end, we introduce and study a new Coarse Space Correction algorithm for Optimized Schwarz Methods(OSM): the DCS-DGLC algorithm.
Santugini Kévin
doaj   +1 more source

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   +1 more source

A discontinuous Galerkin moving mesh method for Hamilton-Jacobi equations [PDF]

, 2007
In this paper we consider the numerical solution of first-order Hamilton-Jacobi equations using the combination of a discontinuous Galerkin finite element method and an adaptive $r$-refinement (mesh movement) strategy.
MacKenzie, John, Nicola, Aurelian
core   +1 more source