Add to ORKGWe study the spatial discretization, in a fully discrete scheme, for the numerical solution of a model problem for the neutron transport equation in an infinite cylindrical domain. Based on using an interpolation technique in the discontinuous Galerkin finite element procedure, we derive an almost optimal error estimate for the scalar flux in the L2-norm. Combining a duality argument applied to the above result together with the previous semidiscrete error estimates for the velocity discretizations, we also obtain globally optimal error bounds for the critical eigenvalues
In order to make conventional implicit algorithm to be applicable in large scale parallel computers ...
Error norms for three variants of Larsen's benchmark problem are evaluated using three numerical met...
In this article we consider the application of high-order/hp-version adaptive discontinuous Galerkin...
We study the spatialdiscretization for the numerical solution of a model problem for theneutron tran...
The objective of this paper is to give a mathematical framework for a fully discrete numerical appro...
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...
Abstract. This paper presents a hp−refinement method for a first order scalar transport-reaction equ...
This paper examines the theoretical and practical application of the finite element method to the ne...
The convergence of the discrete ordinates method is studied for angular discretization of the neutro...
A numerical solution of the first-order, mono-energetic neutron transport equation is found by the f...
AbstractIn this paper two discontinuous Galerkin isogeometric analysis methods are developed and app...
Abstract:- This paper describes a numerical procedure to solve the homogeneous boundary problem for ...
The finite element response matrix method has been applied to the solution of the neutron transport ...
The objective of this paper is to give a mathematical framework for a fully discrete numerical appro...
In order to make conventional implicit algorithm to be applicable in large scale parallel computers ...
Error norms for three variants of Larsen's benchmark problem are evaluated using three numerical met...
In this article we consider the application of high-order/hp-version adaptive discontinuous Galerkin...
We study the spatialdiscretization for the numerical solution of a model problem for theneutron tran...
The objective of this paper is to give a mathematical framework for a fully discrete numerical appro...
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...
Abstract. This paper presents a hp−refinement method for a first order scalar transport-reaction equ...
This paper examines the theoretical and practical application of the finite element method to the ne...
The convergence of the discrete ordinates method is studied for angular discretization of the neutro...
A numerical solution of the first-order, mono-energetic neutron transport equation is found by the f...
AbstractIn this paper two discontinuous Galerkin isogeometric analysis methods are developed and app...
Abstract:- This paper describes a numerical procedure to solve the homogeneous boundary problem for ...
The finite element response matrix method has been applied to the solution of the neutron transport ...
The objective of this paper is to give a mathematical framework for a fully discrete numerical appro...
In order to make conventional implicit algorithm to be applicable in large scale parallel computers ...
Error norms for three variants of Larsen's benchmark problem are evaluated using three numerical met...
In this article we consider the application of high-order/hp-version adaptive discontinuous Galerkin...