Boundary element method for elliptic equation : determination of fundamental solution

• Autorzy: Klekot J.
• Języki publikacji: EN

Abstrakty

EN

Elliptic equation with source term dependent on the first derivative of unknown function is considered. To solve this equation by means of the boundary element method the fundamental solution should be known. In the paper the fundamental solutions for 1D,2D and 3D problems are derived.

Słowa kluczowe

EN

boundary element method; elliptic equation

PL

metoda elementów brzegowych; równanie eliptyczne

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2010
• Tom: Vol. 9, nr 1
• Strony: 61--70
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Klekot J.

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

Bibliografia

• [1] Brebbia C.A., Telles J.C.F., Wrobel L.C., Boundary element techniques, Springer-Verlag, Berlin, New York 1984.
• [2] Drozdek J., Modelling of temperature field in domains with internal heat sources and its application in bioheat transfer problems, Czestochowa University of Technology, Doctoral Thesis, Czestochowa 2003 (in Polish).
• [3] Spanier J., Oldham K.B., An Atlas of Functions, Hemisphere Publishing Corporation, Springer-Verlag, Berlin, Tokyo, New York 1987.
• [4] Majchrzak E., Boundary Element Method in Heat Transfer, Publ. of the Czestochowa University of Technology, Czestochowa 2001 (in Polish).
• [5] Cholewa R., Application of the Boundary Element Method for Numerical Modeling of Continuous Casting Process, Silesian University of Technology, Doctoral Thesis, Gliwice 2004 (in Polish).