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Residual Estimates for Post-processors in Elliptic Problems
2021 (English)In: Journal of Scientific Computing, ISSN 0885-7474, E-ISSN 1573-7691, Vol. 88, no 2, article id 34Article in journal (Refereed) Published
Abstract [en]

In this work we examine a posteriori error control for post-processed approximations to elliptic boundary value problems. We introduce a class of post-processing operator that “tweaks” a wide variety of existing post-processing techniques to enable efficient and reliable a posteriori bounds to be proven. This ultimately results in optimal error control for all manner of reconstruction operators, including those that superconverge. We showcase our results by applying them to two classes of very popular reconstruction operators, the Smoothness-Increasing Accuracy-Conserving filter and superconvergent patch recovery. Extensive numerical tests are conducted that confirm our analytic findings.

Place, publisher, year, edition, pages
Springer Nature , 2021. Vol. 88, no 2, article id 34
Keywords [en]
A posteriori error bound, Adaptivity, Discontinuous Galerkin, Finite element method, Post-processing, SIAC filter, Superconvergent patch recovery
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-334833DOI: 10.1007/s10915-021-01502-2ISI: 000664533300001Scopus ID: 2-s2.0-85110555654OAI: oai:DiVA.org:kth-334833DiVA, id: diva2:1791837
Note

QC 20230828

Available from: 2023-08-27 Created: 2023-08-27 Last updated: 2023-08-28Bibliographically approved

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Ryan, Jennifer K.

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Pryer, TristanRyan, Jennifer K.
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