Wavelet-based treatment for nonuniqueness problem of acoustic scattering using integral equations

Auteurs-es

  • M. Hesham Engineering Math. and Phys. Dept., Faculty of Engineering, Cairo University, Giza 12211, Egypt

Mots-clés :

Function evaluation, Functions, Integral equations, Natural frequencies, Problem solving, Wavelet transforms, Daubechies wavelet, Sparsity ratio, Wavelet-based treatment

Résumé

Les ondelettes que l’analyse est un outil puissant sparsify et accélèrent par conséquent la solution des équations intégrales. Le problème de nonuniqueness qui surgit en résolvant l’équation intégrale de la dispersion acoustique aux fréquences caractéristiques peut être résolu aux dépens d’augmenter la taille de matrice de problème. L’utilisation des ondelettes en augmentant la fonction inconnue peut réduire cette taille efficacement puisque la matrice résultante de problème est fortement clairsemée. Des exemples sont discutés pour la dispersion sur tous les deux acoustique durs et les sphères molles. Les résultats sont obtenus pour différents ordres d’ondelette de Daubechies et seuils de sparsification. Une comparaison est alors présentée basée sur l’exactitude de solution et le rapport d’espacement.

Fichiers supplémentaires

Publié-e

2006-03-01

Comment citer

1.
Hesham M. Wavelet-based treatment for nonuniqueness problem of acoustic scattering using integral equations. Canadian Acoustics [Internet]. 1 mars 2006 [cité 31 août 2024];34(1):29-35. Disponible à: https://jcaa.caa-aca.ca/index.php/jcaa/article/view/1786

Numéro

Vol. 34 No. 1 (2006)

Rubrique

Articles techniques

Licence

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