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On adaptive anisotropic mesh optimisation for convectiondiffusion problems
, 2012
"... 27/09/2012 On adaptive anisotropic mesh optimisation for convectiondiffusion problems ..."
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27/09/2012 On adaptive anisotropic mesh optimisation for convectiondiffusion problems
Schwarz Methods for ConvectionDiffusion Problems ⋆
"... Abstract. Various variants of Schwarz methods for a singularly perturbed two dimensional stationary convectiondiffusion problem are constructed and analysed. The iteration counts, the errors in the discrete solutions and the convergence behaviour of the numerical solutions are analysed in terms of ..."
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Abstract. Various variants of Schwarz methods for a singularly perturbed two dimensional stationary convectiondiffusion problem are constructed and analysed. The iteration counts, the errors in the discrete solutions and the convergence behaviour of the numerical solutions are analysed in terms
Finite Volume Methods For ConvectionDiffusion Problems
 SIAM J. NUMER. ANAL
, 1996
"... Derivation, stability and error analysis in both discrete H¹ and L² norms for cellcentered finite volume approximations of convectiondiffusion problems are presented. Various upwind strategies are investigated. The theoretical results are illustrated by numerical examples. ..."
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Cited by 28 (3 self)
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Derivation, stability and error analysis in both discrete H¹ and L² norms for cellcentered finite volume approximations of convectiondiffusion problems are presented. Various upwind strategies are investigated. The theoretical results are illustrated by numerical examples.
Negative Norm Stabilization of ConvectionDiffusion Problems
 Appl. Math. Letters
"... . We consider a model convectiondiffusion problem in the convectiondominated regine. A functional setting is given for stabilized Galerkin approximations, in which the stabilizing terms are based on inner products of the type H \Gamma1=2 . These are explicitly computable via multiscale decomposi ..."
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Cited by 4 (4 self)
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. We consider a model convectiondiffusion problem in the convectiondominated regine. A functional setting is given for stabilized Galerkin approximations, in which the stabilizing terms are based on inner products of the type H \Gamma1=2 . These are explicitly computable via multiscale
Negative Norm Stabilization of ConvectionDiffusion Problems
 Appl. Math. Letters
"... . We consider a model convectiondiffusion problem in the convectiondominated regime. A functional setting is given for stabilized Galerkin approximations, in which the stabilizing terms are based on inner products of the type H \Gamma1=2 . These are explicitly computable via multiscale decomposi ..."
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. We consider a model convectiondiffusion problem in the convectiondominated regime. A functional setting is given for stabilized Galerkin approximations, in which the stabilizing terms are based on inner products of the type H \Gamma1=2 . These are explicitly computable via multiscale
4 / 20NonStationary ConvectionDiffusion Problems Variational Problem NonStationary ConvectionDiffusion Problems
"... Establish residual a posteriori error estimates for SUPGdiscretizations of nonstationary convectiondiffusion problems which yield upper and lower bounds for the energy norm of the error that are uniform with respect to all possible relative sizes of convection to diffusion. www.ruhrunibochum.de ..."
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Establish residual a posteriori error estimates for SUPGdiscretizations of nonstationary convectiondiffusion problems which yield upper and lower bounds for the energy norm of the error that are uniform with respect to all possible relative sizes of convection to diffusion. www
Error Estimate of the DGFEM for Nonlinear ConvectionDiffusion Problems
"... This paper is concerned with the analysis of the full discrete discontinuous Galerkin finite element method (DGFEM) applied to the space fulldiscretization of nonlinear nonstationary convectiondiffusion problem with nonlinear convection in two dimensions. General nonconforming simplicity meshe ..."
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This paper is concerned with the analysis of the full discrete discontinuous Galerkin finite element method (DGFEM) applied to the space fulldiscretization of nonlinear nonstationary convectiondiffusion problem with nonlinear convection in two dimensions. General nonconforming simplicity
An hp Finite Element Method for convectiondiffusion problems
, 1997
"... We analyze an hp FEM for convectiondiffusion problems. Stability is achieved by suitably upwinded test functions, generalizing the classical ffquadratically upwinded and the Hemker testfunctions for piecewise linear trial spaces (see, e.g., [12] and the references there). The method is proved to ..."
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Cited by 8 (1 self)
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We analyze an hp FEM for convectiondiffusion problems. Stability is achieved by suitably upwinded test functions, generalizing the classical ffquadratically upwinded and the Hemker testfunctions for piecewise linear trial spaces (see, e.g., [12] and the references there). The method is proved
Convectiondiffusion problems, SDFEM/SUPG and a priori meshes
"... This paper aims to give the reader a summary of current understanding of the streamlinediffusion finite element method (SDFEM), as applied to linear steadystate convectiondiffusion problems. Towards this end, we begin with a brief description of the nature of convectiondiffusion problems: the st ..."
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This paper aims to give the reader a summary of current understanding of the streamlinediffusion finite element method (SDFEM), as applied to linear steadystate convectiondiffusion problems. Towards this end, we begin with a brief description of the nature of convectiondiffusion problems
Results 1  10
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