Giles, Michael B. and Pierce, Niles and Süli, Endre (2004) Progress in adjoint error correction for integral functionals. Computing and Visualization in Science, 6 (2-3). pp. 113-121. ISSN 1432-9360. doi:10.1007/s00791-003-0115-y. https://resolver.caltech.edu/CaltechAUTHORS:20200221-132333124
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Abstract
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.
| Item Type: | Article | |||||||||
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| Additional Information: | © 2004 Springer-Verlag. Received: 20 July 2002; Accepted: 23 March 2003; Published online: 23 January 2004. | |||||||||
| Subject Keywords: | Residual Error; Posteriori Error; Burger Equation; Unstructured Grid; Adjoint Equation | |||||||||
| Issue or Number: | 2-3 | |||||||||
| DOI: | 10.1007/s00791-003-0115-y | |||||||||
| Record Number: | CaltechAUTHORS:20200221-132333124 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20200221-132333124 | |||||||||
| Official Citation: | Giles, M., Pierce, N. & Süli, E. Progress in adjoint error correction for integral functionals. Comput Visual Sci 6, 113–121 (2004). https://doi.org/10.1007/s00791-003-0115-y | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 101464 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 21 Feb 2020 21:29 | |||||||||
| Last Modified: | 16 Nov 2021 18:02 |
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