Interpolating wavelets on unstructured grids for the fast computation of 3D integral problems

Julio Enrique Castrillon-Candas; Kevin S. Amaratunga

doi:10.1117/12.381702

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5 April 2000 Interpolating wavelets on unstructured grids for the fast computation of 3D integral problems

Julio Enrique Castrillon-Candas, Kevin S. Amaratunga

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Proceedings Volume 4056, Wavelet Applications VII; (2000) https://doi.org/10.1117/12.381702
Event: AeroSense 2000, 2000, Orlando, FL, United States

Abstract

In this paper we present an approach to construct second generation interpolating wavelets to compress the class of integral operators of the form (integral) K(x,y)dy over an unstructured grid in 3D. This approach results in a scheme that generally requires O(N) storage at O(N) cost. Moreover, analytical estimates of the stiffness matrix coefficients are derived. Numerical results are presented for a second kind formation of Laplace equation.

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Julio Enrique Castrillon-Candas and Kevin S. Amaratunga "Interpolating wavelets on unstructured grids for the fast computation of 3D integral problems", Proc. SPIE 4056, Wavelet Applications VII, (5 April 2000); https://doi.org/10.1117/12.381702

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