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- W2025767647 abstract "The construction of weighted extended B-splines (web-splines), as recently introduced by the authors and J. Wipper for uniform knot sequences, is generalized to the nonuniform case. We show that web-splines form a stable basis for splines on arbitrary domains in Rm which provides optimal approximation power. Moreover, homogeneous boundary conditions, as encountered frequently in finite element applications, can be satisfied exactly by using an appropriate weight function. To illustrate the performance of the method, it is applied to a scattered data fitting problem and a finite element approximation of an elliptic boundary value problem." @default.
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- W2025767647 date "2003-08-01" @default.
- W2025767647 modified "2023-10-16" @default.
- W2025767647 title "Nonuniform web-splines" @default.
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- W2025767647 doi "https://doi.org/10.1016/s0167-8396(03)00045-1" @default.
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