Discrete Sobolev inequalities and Lp error estimates for finite volume solutions of convection diffusion equations

Yves Coudière; Thierry Gallouët; Raphaèle Herbin

Displaying similar documents to “Discrete Sobolev inequalities and Lp error estimates for finite volume solutions of convection diffusion equations”

An Adaptive Multi-level method for Convection Diffusion Problems

Martine Marion, Adeline Mollard (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

Similarity:

In this article we introduce an adaptive multi-level method in space and time for convection diffusion problems. The scheme is based on a multi-level spatial splitting and the use of different time-steps. The temporal discretization relies on the characteristics method. We derive an error estimate and design a corresponding adaptive algorithm. The efficiency of the multi-level method is illustrated by numerical experiments, in particular for a convection-dominated problem. ...

Mesh Refinement For Stabilized Convection Diffusion Equations

B. Achchab, M. El Fatini, A. Souissi (2010)

Mathematical Modelling of Natural Phenomena

Similarity:

We derive a residual a posteriori error estimates for the subscales stabilization of convection diffusion equation. The estimator yields upper bound on the error which is global and lower bound that is local

A priori diffusion-uniform error estimates for singularly perturbed problems: Midpoint-DG discretization

Vlasák, Miloslav, Kučera, Václav

Similarity:

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.

Pointwise Error Estimates for a Streamline Diffusion Finite Element Scheme.

Koichi Niijima (1989/90)

Numerische Mathematik

Similarity: