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Analysis of Adjoint Error Correction for Superconvergent Functional Estimates

Abstract:

Earlier work introduced the notion of adjoint error correction for obtaining superconvergent estimates of functional outputs from approximate PDE solutions. This idea is based on a posteriori error analysis suggesting that the leading order error term in the functional estimate can be removed by using an adjoint PDE solution to reveal the sensitivity of the functional to the residual error in the original PDE solution. The present work provides a priori error analysis that correctly predicts ...

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Publication date:
2001-08-05
URN:
uuid:42fa3324-3752-40ea-a823-d03f46f990ba
Local pid:
oai:eprints.maths.ox.ac.uk:1237

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