Orthogonal Helmholtz decomposition in arbitrary dimension using divergence-free and curl-free wavelets

DOI10.1016/j.acha.2008.06.001zbMath1170.35008OpenAlexW2051661029MaRDI QIDQ1006633

Valérie Perrier, Erwan Deriaz

Publication date: 25 March 2009

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.acha.2008.06.001

zbMATH Keywords

Fourier transformiterative algorithmNavier-Stokes equationsHelmholtz decompositionMaxwell's equationdivergence free and curl free waveletsShanon wavelets

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Navier-Stokes equations (35Q30) Numerical methods for wavelets (65T60) Theoretical approximation in context of PDEs (35A35) Applications to the sciences (65Z05) Implicit function theorems, Jacobians, transformations with several variables (26B10)

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Cites Work

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• Décomposition de Helmholtz par ondelettes : convergence d'un algorithme itératif
• Acoustic and electromagnetic equations. Integral representations for harmonic problems

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