The Mathematical Institute, University of Oxford, Eprints Archive

A Posteriori Error Analysis for Linear Convection-Diffusion Problems Under Weak Mesh Regularity Assumptions

Houston, P. and Suli, Endre (1997) A Posteriori Error Analysis for Linear Convection-Diffusion Problems Under Weak Mesh Regularity Assumptions. Technical Report. Unspecified. (Submitted)

[img]
Preview
PDF
312Kb

Abstract

In this paper we consider the generalisation of standard a posteriori error estimates, derived for unsteady problems, to arbitrary space-time meshes. In particular, we derive an a posteriori error bound for the discontinuity capturing Lagrange-Galerkin method applied to an unsteady (linear) convection-diffusion problem, assuming only that the underlying mesh is non-degenerate. The proof of this error estimate will be based on strong stability estimates of an associated dual problem, together with the Galerkin orthogonality of the finite element method.

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1320
Deposited By:Lotti Ekert
Deposited On:09 Jun 2011 08:22
Last Modified:09 Jun 2011 08:22

Repository Staff Only: item control page