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A generalization of the Bramble-Hilbert lemma and applications to multivariate interpolation

✍ Scribed by David S Watkins

Publisher
Elsevier Science
Year
1979
Tongue
English
Weight
670 KB
Volume
26
Category
Article
ISSN
0021-9045

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## Abstract We prove quasioptimal and optimal order estimates in various Sobolev norms for the approximation of linear strongly elliptic periodic pseudodifferential equations in two independent variables by a modified method of nodal collocation by odd degree polynomial splines. In the one‐dimensio