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...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
Springer Verlag
2004
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| Summary: | 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. © Springer-Verlag 2004. |
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