C. K. Chui

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Let be a triangulation of some polygonal domain in R 2 and S r k ((), the space of all bivariate C r piecewise polynomials of total degree k on. In this paper, we construct a local basis of some subspace of the space S r k ((), where k 3r+2, that can be used to provide the highest order of approximation, with the property that the approximation constant of(More)
Let ∆ be a triangulation of some polygonal domain in IR 2 and S r k (∆) the space of all bivariate C r piecewise polynomials of total degree ≤ k on ∆. The approximation order of S r k (∆) is defined to be the largest real number ρ for which dist(f, S r k (∆)) ≤ Const |∆| ρ for all sufficiently smooth functions f , where the distance is measured in the(More)
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