Acta Numerica

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

Michael B. Giles a1 and Endre Süli a1
a1 University of Oxford, Computing Laboratory, Wolfson Building, Parks Road, Oxford OX1 3QD, England


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.