Comparison of two types of Trefftz method for the solution of inhomogeneous elliptic problems

• Autorzy: Uściłowska-Gajda A. , Kołodziej J. A. , Ciałkowski M. , Frąckowiak A.
• Konferencja: International Workshop on the Trefftz Method (3 ; 16-18.09. 2002 ; Exeter, England)
• Języki publikacji: EN

Abstrakty

EN

The solution of inhomogeneous elliptic problems by the Trefftz method has become increasingly more popular during the last decade. One method of solution uses the fundamental solutions as trial functions and the inhomogeneous part is expressed by radial basis functions (RBFs). The purpose of this paper is to solve several boundary value problems that have exact solutions. Two error criteria are used for comparison of the exact solutions and the approximated solutions. The first is the mean least square global error. The second has a local character, as it measures the absolute maximal error.

Słowa kluczowe

EN

Trefftz method; elliptic problem

PL

metoda Trefftza

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2003
• Tom: Vol. 10, No. 4
• Strony: 661--675
• Opis fizyczny: Bibliogr. 4 poz., tab., rys.

Twórcy

autor

Uściłowska-Gajda A.

• Poznań University of Technology, Institute of Applied Mechanics, Poznań, Poland

autor

Kołodziej J. A.

• Poznań University of Technology, Institute of Applied Mechanics, Poznań, Poland

autor

Ciałkowski M.

• Poznań University of Technology, Institute of Thermal Engineering, Poznań, Poland

autor

Frąckowiak A.

• Poznań University of Technology, Institute of Thermal Engineering, Poznań, Poland

Bibliografia

• [1] V.M.A. Leitão. A meshless method for Kirchoff plate bending problems. Int. J. Num. Meth. Engrg., 52: 1107-1130, 2001.
• [2] A. Poillikkas, A. Karageorghis, and G. Georgiou. The method of fundamental solutions for inhomogeneous elliptic problems. Computational Mechanics, 22: 100-107, 1998.
• [3] P.A. Ramachandran, K. Balakrishnan. Radial basis functions as approximate particular solutions: Review of recent progress. Eng. Anal. Bound. Elem., 24: 575-582, 2000.
• [4] M. Ciałkowski, A. Frąckowiak. Heat functions and their applications to solving the heat conduction and the mechanical problems (in Polish). Publishing House of Poznan University of Technology, 2000.