Error estimates in W
2,∞-semi-norms for discrete interpolating D
2-splines |
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| Authors: | Rémi Arcangéli María Cruz López de Silanes Juan José Torrens |
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| Institution: | (1) Route de Barat, 31160 Arbas, France;(2) Departamento de Matemática Aplicada, C.P.S., Universidad de Zaragoza, María de Luna 3, 50018 Zaragoza, Spain;(3) Departamento de Matemática e Informática, Universidad Pública de Navarra, Campus de Arrosadía, 31006 Pamplona, Spain |
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| Abstract: | We derive error estimates in W2,∞-semi-norms for multivariate discrete D2-splines that interpolate an unknown function at the vertices of given triangulations. These results are widely based on the
construction of approximation operators and linear projectors onto piecewise polynomial spaces having weakly stable local
bases. |
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| Keywords: | 65D07 65D05 41A15 |
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