Helmholtz-Hodge Decomposition on [0, 1] by Divergence-free and Curl-free Wavelets
نویسندگان
چکیده
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.
منابع مشابه
Helmholtz-Hodge Decomposition on [0, 1] d by Divergence-Free and Curl-Free Wavelets
Souleymane Kadri Harouna, Valérie Perrier. Helmholtz-Hodge Decomposition on [0; 1]d by Divergence-free and Curl-free Wavelets. Jean-Daniel Boissonnat, Patrick Chenin, Albert Cohen, Christian Gout, Tom Lyche Marie-Laurence Mazure, and Larry Schumaker. 7th International Conference on Curves and Surfaces, Jun 2010, Avignon, France. Springer, 6920, pp.311-329, 2012, Lecture Notes in Computer Scienc...
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