Wavelet-based treatment for nonuniqueness problem of acoustic scattering using integral equations
Mots-clés :
Function evaluation, Functions, Integral equations, Natural frequencies, Problem solving, Wavelet transforms, Daubechies wavelet, Sparsity ratio, Wavelet-based treatmentRésumé
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
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