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An Adaptive Multilevel Wavelet Solver for Elliptic...
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An Adaptive Multilevel Wavelet Solver for Elliptic Equations on an Optimal Spherical Geodesic Grid

Abstract

An adaptive multilevel wavelet solver for elliptic equations on an optimal spherical geodesic grid is developed. The method is based on second-generation spherical wavelets on almost uniform optimal spherical geodesic grids. It is an extension of the adaptive multilevel wavelet solver [O. V. Vasilyev and N. K.-R. Kevlahan, J. Comput. Phys., 206 (2005), pp. 412431] to curved manifolds. Wavelet decomposition is used for grid adaption and …

Authors

Mehra M; Kevlahan NK-R

Volume

30

Pagination

pp. 3073-3086

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Publication Date

1 2008

DOI

10.1137/070689607

Conference proceedings

SIAM Journal on Scientific Computing

Issue

6

ISSN

1064-8275