Add to ORKGWe study the spatialdiscretization for the numerical solution of a model problem for theneutron transport equation in an infinite cylindrical domain. Based onusing an interpolation technique in the discontinuous Galerkin finite elementprocedure, and regularizing properties of the solutionoperator, we derive an {\sl optimal} error estimate in $L_2-$norm for thescalar flux. This result, combined with a duality argument and previously known semidiscrete error estimates for the velocity discretizations, gives {\sl globally optimal} error bounds for the criticaleigenvalue
We analyze a discontinuous Galerkin method for linear elasticity. The discrete formulation derives f...
Cette thèse traite des méthodes d’éléments finis Galerkin discontinus d’ordre élevé pour la résoluti...
This article discusses a priori and a posteriori error estimates of discontinuous Galerkin finite el...
We study the spatial discretization for the numerical solution of a model problem for the neutron tr...
We study the spatial discretization, in a fully discrete scheme, for the numerical solution of a mod...
The objective of this paper is to give a mathematical framework for a fully discrete numerical appro...
Abstract. This paper presents a hp−refinement method for a first order scalar transport-reaction equ...
We derive error estimates for a fully discrete scheme for the numerical solution of the neutron tran...
We prove a regularity result for a Fredholm integral equation with weakly singular kernel, arising i...
In this article we consider the application of high-order/hp-version adaptive discontinuous Galerkin...
Full core reactor simulations are generally based on a (at least) two-scales process, the first onec...
This Thesis demonstrates advanced new discretisation technologies that improve the accuracy and stab...
Abstract. We prove optimal convergence rates for the approximation provided by the original disconti...
The discontinuous Galerkin (DG) method was introduced in 1973 by Reed and Hill to solve the neutron ...
In this paper, we prove that the numerical solution of the mono-directional neutron transport equati...
We analyze a discontinuous Galerkin method for linear elasticity. The discrete formulation derives f...
Cette thèse traite des méthodes d’éléments finis Galerkin discontinus d’ordre élevé pour la résoluti...
This article discusses a priori and a posteriori error estimates of discontinuous Galerkin finite el...
We study the spatial discretization for the numerical solution of a model problem for the neutron tr...
We study the spatial discretization, in a fully discrete scheme, for the numerical solution of a mod...
The objective of this paper is to give a mathematical framework for a fully discrete numerical appro...
Abstract. This paper presents a hp−refinement method for a first order scalar transport-reaction equ...
We derive error estimates for a fully discrete scheme for the numerical solution of the neutron tran...
We prove a regularity result for a Fredholm integral equation with weakly singular kernel, arising i...
In this article we consider the application of high-order/hp-version adaptive discontinuous Galerkin...
Full core reactor simulations are generally based on a (at least) two-scales process, the first onec...
This Thesis demonstrates advanced new discretisation technologies that improve the accuracy and stab...
Abstract. We prove optimal convergence rates for the approximation provided by the original disconti...
The discontinuous Galerkin (DG) method was introduced in 1973 by Reed and Hill to solve the neutron ...
In this paper, we prove that the numerical solution of the mono-directional neutron transport equati...
We analyze a discontinuous Galerkin method for linear elasticity. The discrete formulation derives f...
Cette thèse traite des méthodes d’éléments finis Galerkin discontinus d’ordre élevé pour la résoluti...
This article discusses a priori and a posteriori error estimates of discontinuous Galerkin finite el...