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|Title:||DIV-CURL vector quasi-interpolation on a finite domain|
|Citation:||Mathematical and Computer Modelling, 1999; 30(1-2):179-204|
|F. Chen and D. Suter|
|Abstract:||This paper presents a quasi-interpolation method for DIV-CURL vector splines in two dimensions on both infinite and finite domains. The quasi-interpolant is a linear combination of translates of dilates of a basis function. In particular, our discussion focuses on the approximation of a vector-valued function defined on a finite domain for practical application purposes. In such a case, edge functions are introduced for preserving the convergence of the quasi-interpolant on the boundaries. These edge functions can be determined by means of the polynomial reproduction properties of the quasi-interpolation. The analysis of convergence has shown that the quasi-interpolant defined on a regular grid of whole R2 can reproduce linear polynomial and has an O(h2 | log h|) error bound, while the modified quasi-interpolant defined on a square I2 has an O(h) error bound if the edge functions are designed for reproducing a constant.|
|Keywords:||Quasi-interpolation; Polynomial reproduction; DIV-CURL vector splines; Edge functions|
|Rights:||©1999 Elsevier Science Ltd.|
|Appears in Collections:||Aurora harvest 7|
Computer Science publications
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