Helmholtz eigenvalue problem in elliptical shaped domains

• Autorzy: Kukla S.
• Języki publikacji: EN

Abstrakty

EN

In this paper, the fundamental solutions method to the Helmholtz eigenvalue problem in two-dimensional elliptical shaped domains are presented. The Green's functions of the Helmholtz equation in the half-plane and in the quarter-plane are used. Numerical examples of the eigenvalue problems in a half-elliptic and a quarter-elliptic domains are given.

Słowa kluczowe

EN

eigenvalue problem; elliptical shaped domains

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2010
• Tom: Vol. 9, nr 1
• Strony: 77--82
• Opis fizyczny: Bibliogr. 4 poz., rys., tab.

Twórcy

autor

Kukla S.

• Institute of Mathematics, Czestochowa University of Technology, Poland,

Bibliografia

• [1] Kukla S., Method of fundamental solutions for Helmholtz eigenvalue problems in elliptical domains, Scientific Reserch of the Institiute of Mathematics, 2009, 1(8), 85-90.
• [2] Reutskiy S.Yu., The method of fundamental solutions for Helmholtz eigenvalue problems in simply and multiply connected domains, Engineering Analysis with Boundary Elements 2006, 30, 150-159.
• [3] Civalek O., Gurses M., Free vibration of curvilinear membranes by eight-noded discrete singular convolution, International Journal of Science & Technology, 2008, 3(2), 165-171.
• [4] Duffy D.G., Green’s Functions with Applications, Chapman & Hall/CRC, Boca Raton, Washington DC 2001.