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[PDF] Top 20 Methods for solving discontinuous-Galerkin finite element equations with application to neutron transport

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Methods for solving discontinuous-Galerkin finite element equations with application to neutron transport

Methods for solving discontinuous-Galerkin finite element equations with application to neutron transport

... based methods The method of characteristics for solving hyperbolic PDEs has been applied many times over the years to the solution of neutron transport problems from its first ... Voir le document complet

186

An inconditionnally stable discontinuous Galerkin method for solving the 2D time-domain Maxwell equations on unstructured triangular meshes

An inconditionnally stable discontinuous Galerkin method for solving the 2D time-domain Maxwell equations on unstructured triangular meshes

... Abstract—Numerical methods for solving the time-domain Maxwell equations often rely on cartesian meshes and are variants of the finite difference time-domain (FDTD) method due to ... Voir le document complet

5

Preliminary Investigation of a Nonconforming Discontinuous Galerkin Method for Solving the Time-Domain Maxwell Equations

Preliminary Investigation of a Nonconforming Discontinuous Galerkin Method for Solving the Time-Domain Maxwell Equations

... Terms—Maxwell’s equations, discontinuous Galerkin method, non-conforming triangular ...of methods have been developed for the numerical solution of the time-domain Maxwell ... Voir le document complet

5

High order discontinuous Galerkin methods for time-harmonic elastodynamics

High order discontinuous Galerkin methods for time-harmonic elastodynamics

... DG methods: centered flux DG and upwind flux DG methods In the previous chapter, we have presented various numerical methods for solving the wave equations and we have explained ... Voir le document complet

204

Galerkin finite element methods with symmetric pressure stabilization for the transient Stokes' equations: stability and convergence analysis

Galerkin finite element methods with symmetric pressure stabilization for the transient Stokes' equations: stability and convergence analysis

... stabilized finite element methods for the transient Stokes’ ...problem. For standard pressure stabilizations of Petrov-Galerkin (PSPG) or least squares (GaLS) type, the analysis ... Voir le document complet

39

Regularity and hp discontinuous Galerkin finite element approximation of linear elliptic eigenvalue problems with singular potentials

Regularity and hp discontinuous Galerkin finite element approximation of linear elliptic eigenvalue problems with singular potentials

... problems with singular potential. This is the case, for example, of the electronic Schrödinger equation, where the attraction between the nuclei and the electrons is proportional to the inverse of ... Voir le document complet

28

ANALYSIS OF A DISCONTINUOUS GALERKIN METHOD FOR ELASTODYNAMIC EQUATIONS. APPLICATION TO 3D WAVE PROPAGATION.

ANALYSIS OF A DISCONTINUOUS GALERKIN METHOD FOR ELASTODYNAMIC EQUATIONS. APPLICATION TO 3D WAVE PROPAGATION.

... obtained with a parallel implementation of the DG method. The first one refers to the propagation of an eigenmode in a cubic cavity for which an exact solution is known and a numerical study of the ... Voir le document complet

31

A new Petrov-Galerkin finite element method for stabilizing reaction-diffusion equations

A new Petrov-Galerkin finite element method for stabilizing reaction-diffusion equations

... Stabilized finite elements, Petrov-Galerkin method, reaction-diffusion equation, Taylor series ...method for solving reaction- diffusion problems described by the modified Helmholtz ... Voir le document complet

3

Optimized Schwarz method for solving time-harmonic Maxwell's equations discretized by a discontinuous Galerkin method

Optimized Schwarz method for solving time-harmonic Maxwell's equations discretized by a discontinuous Galerkin method

... Terms—Discontinuous Galerkin methods, domain decomposition methods, optimized interface ...ISCONTINUOUS Galerkin (DG) methods are emerging for the solution of ... Voir le document complet

5

Numerical evaluation of a non-conforming discontinuous Galerkin method on triangular meshes for solving the time-domain Maxwell equations

Numerical evaluation of a non-conforming discontinuous Galerkin method on triangular meshes for solving the time-domain Maxwell equations

... Finite element time-domain (FETD) methods can handle unstructured meshes and complex geome- tries but the development of such methods for solving Maxwell’s equations, ... Voir le document complet

52

A hybridized discontinuous Galerkin method for 3d time-harmonic Maxwell's equations

A hybridized discontinuous Galerkin method for 3d time-harmonic Maxwell's equations

... DG methods more attrac- tive for stationary ...strategies for solving the linear systems for the hybrid variable unknowns, as well as on the the further develop- ment and ... Voir le document complet

3

The DUNE-DPG library for solving PDEs with Discontinuous Petrov-Galerkin finite elements

The DUNE-DPG library for solving PDEs with Discontinuous Petrov-Galerkin finite elements

... differential equations (PDEs), a central question is the one of building variational formulations that are inf-sup stable not only at the infinite- dimensional level, but also at the finite-dimensional ... Voir le document complet

15

An implicit hybridized discontinuous Galerkin method for time-domain Maxwell's equations

An implicit hybridized discontinuous Galerkin method for time-domain Maxwell's equations

... Abstract: Discontinuous Galerkin (DG) methods have been the subject of numerous research activities in the last 15 years and have been successfully developed for various physical contexts ... Voir le document complet

21

Discontinuous Galerkin discretizations of optimized Schwarz methods for solving the time-harmonic Maxwell equations

Discontinuous Galerkin discretizations of optimized Schwarz methods for solving the time-harmonic Maxwell equations

... Like for all other discretizations of the time-harmonic Maxwell equations, it is also difficult to solve linear systems obtained by DG discretizations with iterative ...Due to the ... Voir le document complet

22

Subdivision methods for solving polynomial equations

Subdivision methods for solving polynomial equations

... algorithm for solving a system of polynomials, in a domain of n ...that for simple roots, it has a local quadratic convergence speed and gives new bounds for the complexity of approximating ... Voir le document complet

24

Asymetric quasi linear finite element methods for solving non-linear incompressible elasticity problems

Asymetric quasi linear finite element methods for solving non-linear incompressible elasticity problems

... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ... Voir le document complet

76

A hybridizable discontinuous Galerkin method for solving nonlocal optical response models

A hybridizable discontinuous Galerkin method for solving nonlocal optical response models

... order to do so, appropriate mathematical models are needed to predict the behavior of light-matter ...interesting for nanophotonics because they can both enhance and confine optical fields, making ... Voir le document complet

22

A hybridizable discontinuous Galerkin method for solving nonlocal optical response models

A hybridizable discontinuous Galerkin method for solving nonlocal optical response models

... Center for Nanostructured Graphene, Technical University of Denmark, Ørsteds Plads 343, DK-2800 ...Hybridizable Discontinuous Galerkin (HDG) methods for solving the frequency- ... Voir le document complet

22

A centered Discontinuous Galerkin Finite Volume scheme for the 3D heterogeneous Maxwell equations on unstructured meshes

A centered Discontinuous Galerkin Finite Volume scheme for the 3D heterogeneous Maxwell equations on unstructured meshes

... Unité de recherche INRIA Sophia Antipolis 2004, route des Lucioles - BP 93 - 06902 Sophia Antipolis Cedex France Unité de recherche INRIA Lorraine : LORIA, Technopôle de Nancy-Brabois - [r] ... Voir le document complet

35

A relationship between stabilized finite element methods and the Galerkin method with bubble functions

A relationship between stabilized finite element methods and the Galerkin method with bubble functions

... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ... Voir le document complet

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