Helmholtz-Hodge Decomposition on 0; 1d by Divergence-free and Curl-free WaveletsReport as inadecuate




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1 FLUMINANCE - Fluid Flow Analysis, Description and Control from Image Sequences CEMAGREF, Inria Rennes – Bretagne Atlantique 2 MGMI - Modélisation Géométrique & Multirésolution pour l-Image LJK - Laboratoire Jean Kuntzmann

Abstract : This paper deals with the Helmholtz-Hodge decomposition of a vector field in bounded domain. We present a practical algorithm to compute this decomposition in the context of divergence-free and curl- free wavelets satisfying suitable boundary conditions. The method requires the inversion of divergence-free and curl-free wavelet Gram matrices. We propose an optimal preconditioning which allows to solve the systems with a small number of iterations. Finally, numerical examples prove the accuracy and the efficiency of the method.

Keywords : Divergence-free and curl-free wavelets Helmholtz-Hodge decomposition





Author: Souleymane Kadri Harouna - Valérie Perrier -

Source: https://hal.archives-ouvertes.fr/



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