The Mathematical Institute, University of Oxford, Eprints Archive

A Posteriori Error Analysis for Systems of Nonlinear Convection-Diffusion Equations

Houston, P. and Suli, Endre (1997) A Posteriori Error Analysis for Systems of Nonlinear Convection-Diffusion Equations. Technical Report. Unspecified. (Submitted)

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Abstract

In this paper we derive an a posteriori error estimate for the Lagrange-Galerkin discretisation of a nonlinear system of unsteady convection-diffusion problems in two space-dimensions. The proof of the error estimate is based on strong stability estimates of an associated linearised dual problem, together with the Galerkin orthogonality of the finite element method. Based on this a posteriori error estimate, we design the corresponding adaptive algorithm to ensure global control of each component of the discretisation error, with respect to a fixed tolerance.

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1319
Deposited By:Lotti Ekert
Deposited On:09 Jun 2011 08:22
Last Modified:09 Jun 2011 08:22

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