An Optimal Uniform a Priori Error Estimate for an Unsteady Singularly Perturbed Problem

An Optimal Uniform a Priori Error Estimate for an Unsteady Singularly Perturbed Problem

Year:    2014

Author:    M. Vlasak, H.-G. Roos

International Journal of Numerical Analysis and Modeling, Vol. 11 (2014), Iss. 1 : pp. 24–33

Abstract

A time-dependent convection-diffusion problem is discretized by the Galerkin finite element method in space with bilinear elements on a general layer adapted mesh and in time by discontinuous Galerkin method. We present optimal error estimates. The estimates hold true for consistent stabilization too.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2014-IJNAM-512

International Journal of Numerical Analysis and Modeling, Vol. 11 (2014), Iss. 1 : pp. 24–33

Published online:    2014-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    discontinuous Galerkin convection-diffusion layer adapted mesh error estimate.

Author Details

M. Vlasak

H.-G. Roos