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Adjoint methods for PDEs: a posteriori error analysis and postprocessing by duality

Published online by Cambridge University Press:  15 July 2003

Michael B. Giles  and
Endre Süli
Michael B. Giles
Affiliation:
University of Oxford, Computing Laboratory, Wolfson Building, Parks Road, Oxford OX1 3QD, England
Endre Süli
Affiliation:
University of Oxford, Computing Laboratory, Wolfson Building, Parks Road, Oxford OX1 3QD, England
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Abstract

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We give an overview of recent developments concerning the use of adjoint methods in two areas: the a posteriori error analysis of finite element methods for the numerical solution of partial differential equations where the quantity of interest is a functional of the solution, and superconvergent extraction of integral functionals by postprocessing.

Information

Type
Research Article
Information
Acta Numerica , Volume 11 , January 2002 , pp. 145 - 236
Copyright
© Cambridge University Press 2002