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A HIERARCHICAL A POSTERIORI ERROR ESTIMATE FOR AN ADVECTION-DIFFUSION-REACTION PROBLEM

RODOLFO ARAYA

Departamento de Ingeniería Matemática, Universidad de Concepción, Casilla 160-C, Concepción, Chile

Corresponding author.

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ABNER H. POZA

Departamento de Ingeniería Matemática, Universidad de Concepción, Casilla 160-C, Concepción, Chile

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, and

ERNST P. STEPHAN

Institut für Angewandte Mathematik,Universität Hannover, Welfengarten 1, D-30167 Hannover, Germany

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https://doi.org/10.1142/S0218202505000674Cited by:20 (Source: Crossref)

Abstract

In this work we introduce a new a posteriori error estimate of hierarchical type for the advection-diffusion-reaction equation. We prove the equivalence between the energy norm of the error and our error estimate using an auxiliary linear problem for the residual and an easy way to prove inf–sup condition.

Keywords:

AMSC: 65N15, 65N30, 65J15

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