Method of fundamental solutions for Helmholtz eigenvalue problems in elliptical domains

• Autorzy: Kukla S.
• Języki publikacji: EN

Abstrakty

EN

In this paper, the method of fundamental solutions for Helmholtz eigenproblems in an elliptical domain is presented. To find the approximate solution of the problem, the Hankel function of the first kind and zero order as the fundamental solution of the Helmholtz equation in unbounded domain on the plane was used. Numerical examples illustrating the accuracy of the present method are given.

Słowa kluczowe

EN

eigenvalue problem; method of fundamental solutions

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2009
• Tom: Vol. 8, nr 1
• Strony: 85--90
• Opis fizyczny: Bibliogr. 5 poz., rys., tab.

Twórcy

autor

Kukla S.

• Institute of Mathematics and Computer Science, Czestochowa University of Technology, Poland,

Bibliografia

• [1] Pietrowski L., Równania różniczkowe cząstkowe, PWN, Warszawa 1955.
• [2] Chen J.T., Chen I.L., Lee Y.T., Eigensolutions of multiply connected membranes using the method of fundamental solutions, Boundary Analysis with Boundary Elements 2005, 29, 166-174.
• [3] Reutskiy S.Yu., The method of fundamental solutions for Helmholtz eigenvalue problems in simply and multiply connected domains, Boundary Analysis with Boundary Elements 2006, 30, 150-159.
• [4] Buchanan G.R., Peddieson J., A finite element in eliptic coordinates with application to membrane vibration, Thin-Walled Structures 2005, 43, 1444-1454.
• [5] Duffy D.G., Green’s functions with applications, Chapman & Hall/CRC, Boca Raton, Washington DC 2001.