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Published March 2004 | public
Journal Article

Progress in adjoint error correction for integral functionals


When approximating the solutions of partial differential equations, it is a few key output integrals which are often of most concern. This paper shows how the accuracy of these values can be improved through a correction term which is an inner product of the residual error in the original p.d.e. and the solution of an appropriately defined adjoint p.d.e. A number of applications are presented and the challenges of smooth reconstruction on unstructured grids and error correction for shocks are discussed.

Additional Information

© 2004 Springer-Verlag. Received: 20 July 2002; Accepted: 23 March 2003; Published online: 23 January 2004.

Additional details

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