Green's functions for interior and exterior Helmholtz problems

• Autorzy: Kukla S. , Siedlecka U. , Zamorska I.
• Języki publikacji: EN

Abstrakty

EN

In the paper, the derivation of Green's functions for Helmholtz equation in circular, annular and exterior circular domains is presented. The Green's functions are assumed of the form a cosine series. An example of application of the Green's functions in frequency analysis of a composite membrane is presented.

Słowa kluczowe

EN

Green's functions; Helmholtz equation; vibration problems; composite membrane

PL

funkcja Greena; równanie Helmholtza; membrana kompozytowa

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2012
• Tom: Vol. 11, nr 1
• Strony: 53--62
• Opis fizyczny: Bibliogr. 7 poz., rys., tab.

Twórcy

autor

Kukla S.

autor

Siedlecka U.

autor

Zamorska I.

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

Bibliografia

• [1] Duffy D.G., Green’s functions with applications, Chapman & Hall/CRC, Boca Raton, Washington 2001.
• [2] Kukla S., Funkcje Greena i ich zastosowania, Seria Monografie Nr 170, Wydawnictwo Politechniki Częstochowskiej, Częstochowa 2009.
• [3] Pérez-Arancibia C., Durán M., On the Green’s function for the Helmholtz operator in an impedance circular cylindrical waveguide, Journal of Computational and Applied Mathematics 2010, 235, 244-262.
• [4] Bin-Mohsin B., Lesnic D., The method of fundamental solutions for Helmholtz-type equations in composite materials, Computers and Mathematics with Applications 2011, 62, 4377-4390.
• [5] 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.
• [6] Siedlecka U., Kukla S., Zamorska I., Free vibration of composite circular membranes, Scientific Research of the Institute of Mathematics and Computer Science Czestochowa University of Technology 2012, 1(11), 96-106.
• [7] Zamorska I., Kukla S., Siedlecka U., Frequency analysis of composite annular membranes, Scientific Research of the Institute of Mathematics and Computer Science Czestochowa University of Technology 2012, 1(11), 131-137.