Abstract | ||
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We provide an almost characterization of the approximation classes appearing when using adaptive finite elements of Lagrange type of any fixed polynomial degree. The characterization is stated in terms of Besov regularity, and requires the approximation within spaces with integrability indices below one. This article generalizes to higher order finite elements the results presented for linear finite elements by Binev et. al. |
Year | DOI | Venue |
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2014 | 10.1090/S0025-5718-2013-02777-9 | MATHEMATICS OF COMPUTATION |
Keywords | Field | DocType |
Adaptive finite elements,Besov spaces,convergence rates,approximation classes | Linear approximation,Mathematical optimization,Mathematical analysis,Degree of a polynomial,Finite element method,Mathematics | Journal |
Volume | Issue | ISSN |
83 | 289 | 0025-5718 |
Citations | PageRank | References |
4 | 0.83 | 9 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Fernando D. Gaspoz | 1 | 4 | 1.51 |
Pedro Morin | 2 | 331 | 47.99 |