-widths for singularly perturbed problems
Stynes, Martin, Kellogg, R. Bruce
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Displaying similar documents to “A parameter-free stabilized finite element method for scalar advection-diffusion problems”
-widths for singularly perturbed problems
-widths for singularly perturbed problems
Martin Stynes, R. Bruce Kellogg (2002)
Mathematica Bohemica
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Kolmogorov -widths are an approximation theory concept that, for a given problem, yields information about the optimal rate of convergence attainable by any numerical method applied to that problem. We survey sharp bounds recently obtained for the -widths of certain singularly perturbed convection-diffusion and reaction-diffusion boundary value problems.
A priori diffusion-uniform error estimates for singularly perturbed problems: Midpoint-DG discretization
Vlasák, Miloslav, Kučera, Václav
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We deal with a nonstationary semilinear singularly perturbed convection–diffusion problem. We discretize this problem by discontinuous Galerkin method in space and by midpoint rule in time. We present diffusion–uniform error estimates with sketches of proofs.
Convergence rate of a finite volume scheme for a two dimensional convection-diffusion problem
Yves Coudière, Jean-Paul Vila, Philippe Villedieu (1999)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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