Divergence-free Wavelets With Spline Duals

ZHAO Jun-jian, ZHANG Tao. Divergence-free Wavelets With Spline Duals[J]. Journal of Beijing University of Technology, 2009, 35(11): 1573-1578.

Citation:

ZHAO Jun-jian, ZHANG Tao. Divergence-free Wavelets With Spline Duals[J]. Journal of Beijing University of Technology, 2009, 35(11): 1573-1578.

Citation:

ZHAO Jun-jian, ZHANG Tao. Divergence-free Wavelets With Spline Duals[J]. Journal of Beijing University of Technology, 2009, 35(11): 1573-1578.

Abstract

Divergence-free wavelets with spline duals in L^2\left(\mathbbR^n\right)^n are constructed by using two pairs of B-splines with some differential relations as the scaling functions,which are in the sense of mild dual condition.Furthermore,it is proved that the projection of an incompressible flow field remains divergence-free property.Finally,a specific example is given.

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