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Axioms 2013, 2(2), 100-121;

Divergence-Free Multiwavelets on the Half Plane

Department of Mathematical Sciences, New Mexico State University, Las Cruces, NM, USA
Hanoi Institute of Mathematics, 18 Hoang Quoc Viet, Hanoi, Vietnam
Author to whom correspondence should be addressed.
Received: 24 December 2012 / Revised: 16 March 2013 / Accepted: 18 March 2013 / Published: 11 April 2013
(This article belongs to the Special Issue Wavelets and Applications)
Full-Text   |   PDF [528 KB, uploaded 11 April 2013]   |  


We use the biorthogonal multiwavelets related by differentiation constructed in previous work to construct compactly supported biorthogonal multiwavelet bases for the space of vector fields on the upper half plane R2 + such that the reconstruction wavelets are divergence-free and have vanishing normal components on the boundary of R2 +. Such wavelets are suitable to study the Navier–Stokes equations on a half plane when imposing a Navier boundary condition. View Full-Text
Keywords: multiwavelets; divergence-free wavelets; fractal interpolation function multiwavelets; divergence-free wavelets; fractal interpolation function

Figure 1

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Lakey, J.; Nguyen, P. Divergence-Free Multiwavelets on the Half Plane. Axioms 2013, 2, 100-121.

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