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Axioms 2013, 2(2), 100-121; doi:10.3390/axioms2020100
Article

Divergence-Free Multiwavelets on the Half Plane

1,*  and 2
Received: 24 December 2012; in revised form: 16 March 2013 / Accepted: 18 March 2013 / Published: 11 April 2013
(This article belongs to the Special Issue Wavelets and Applications)
Download PDF [528 KB, uploaded 11 April 2013]
Abstract: 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.
Keywords: multiwavelets; divergence-free wavelets; fractal interpolation function multiwavelets; divergence-free wavelets; fractal interpolation function
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

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

AMA Style

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

Chicago/Turabian Style

Lakey, Joseph; Nguyen, Phan. 2013. "Divergence-Free Multiwavelets on the Half Plane." Axioms 2, no. 2: 100-121.


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