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ADCM
2005

Flexible piecewise approximations based on partition of unity

13 years 10 months ago
Flexible piecewise approximations based on partition of unity
In this paper, we study a flexible piecewise approximation technique based on the use of the idea of the partition of unity. The approximations are piecewisely defined, globally smooth up to any order, enjoy polynomial reproducing conditions, and satisfy nodal interpolation conditions for function values and derivatives of any order. We present various properties of the approximations, that are desirable properties for optimal order convergence in solving boundary value problems.
Weimin Han, Wing Kam Liu
Added 15 Dec 2010
Updated 15 Dec 2010
Type Journal
Year 2005
Where ADCM
Authors Weimin Han, Wing Kam Liu
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