A Posteriori Error Estimates Based on the Polynomial Preserving Recovery
Superconvergence of order $O(h^{1+\rho})$, for some $\rho > 0$, is established for the gradient recovered with the polynomial preserving recovery (PPR) when the mesh is mildly structured. Consequently, the PPR-recovered gradient can be used in building an asymptotically exact a posteriori error e...
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| Veröffentlicht in: | SIAM journal on numerical analysis 2004-01, Vol.42 (4), p.1780-1800 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | Superconvergence of order $O(h^{1+\rho})$, for some $\rho > 0$, is established for the gradient recovered with the polynomial preserving recovery (PPR) when the mesh is mildly structured. Consequently, the PPR-recovered gradient can be used in building an asymptotically exact a posteriori error estimator. |
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| ISSN: | 0036-1429 1095-7170 |
| DOI: | 10.1137/S0036142903413002 |