Solution of 2D hyperbolic equation by means of the BEM using discretization in time - analysis of solution exactness

• Autorzy: Drozdek J. , Lupa M. , Ładyga E.
• Języki publikacji: EN

Abstrakty

EN

The hyperbolic equation (2D problem) supplemented by adequate boundary and initial conditions is considered. This equation is solved by means of the boundary element method using discretization in time. The aim of investigations is to analyze the influence of time step and the discretization assumed on the exactness of the obtained results.

Słowa kluczowe

EN

hyperbolic equation; 2D problem; boundary element method

PL

równanie hiperboliczne; problem 2D; metoda elementów brzegowych

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2009
• Tom: Vol. 8, nr 1
• Strony: 25--32
• Opis fizyczny: Bibliogr. 5 poz., rys., tab.

Twórcy

autor

Drozdek J.

autor

Lupa M.

autor

Ładyga E.

• Institute of Mathematics, Czestochowa University of Technology, Poland

Bibliografia

• [1] Brebbia C.A., Dominguez J., Boundary elements, an introductory course, Computational Mechanics Publications, McGraw-Hill Book Company, London 1992.
• [2] Majchrzak E., Boundary element method in heat transfer, Publ. of the Czest. Univ. of Technology, Czestochowa 2001.
• [3] Majchrzak E., Ładyga E., Mendakiewicz J., Piasecka Belkhayat A., Different variants of the boundary element method for parabolic equations, Scientific Research of the Institute of Mathematics and Computer Science 2004, 1(3), 127-132.
• [4] Lupa M., Ładyga E., Application of the boundary element method using discretization in time for numerical solution of hyperbolic equation, Scientific Research of the Institute of Mathematics and Computer Science of Czestochowa University of Technology, Czestochowa 2008, 1(7), 83-92.
• [5] Drozdek J., Lupa M., Ładyga E., Solution of 2D hyperbolic equation by means of the boundary element method using discretization in time, Scientific Research of the Institute of Mathematics and Computer Science of Czestochowa University of Technology, Czestochowa, 1(8), 2009, 19-24.