Stable local bases for multivariate spline spaces

Davydov, Oleg (2001) Stable local bases for multivariate spline spaces. Journal of Approximation Theory, 111 (2). pp. 267-297.

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    Abstract

    We present an algorithm for constructing stable local bases for the spaces Srd(Δ) of multivariate polynomial splines of smoothness r⩾1 and degree d⩾r2n+1 on an arbitrary triangulation Δ of a bounded polyhedral domain Ω⊂n, n⩾2.