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

Michael B. Giles; Endre Süli

doi:10.1017/S096249290200003X

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.

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

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