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Reference: P. Houston and Endre Suli, (1997). A Posteriori Error Analysis for Systems of Nonlinear Convection-Diffusion Equations. Unspecified.Citable link to this page:

 

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

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.

Bibliographic Details

Issue Date: 1997-05Identifiers

Urn: uuid:e9e0492d-87c1-4488-a085-e57551b9d353 Item Description

Type: Technical Report;

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Autor: P. Houston - - - Endre Suli - - - - Bibliographic Details Issue Date: 1997-05 - Identifiers Urn: uuid:e9e0492d-87c1-4488-a085-e57

Fuente: https://ora.ox.ac.uk/objects/uuid:e9e0492d-87c1-4488-a085-e57551b9d353



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