Trefftz functions as basic functions of FEM in application to solution of inverse heat conduction problem

• Autorzy: Ciałkowski M. J.
• Konferencja: International Workshop on the Trefftz Method (2 ; 1999 ; Lisbon, Portugal)
• Języki publikacji: EN

Abstrakty

EN

The work presents the application of heat polynomials for solving an inverse problem. The heat polynomials form the Trefftz Method for non-stationary heat conduction problem. They have been used as base functions in Finite Element Method. Application of heat polynomials permits to reduce the order of numerical integration as compared to the classical Finite Element Method with formulation of the matrix of system of equations.

Słowa kluczowe

EN

Trefftz method

PL

metoda Trefftza

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2001
• Tom: Vol. 8, No. 2-3
• Strony: 247--260
• Opis fizyczny: Bibliogr. 6 poz., rys., tab., wykr.

Twórcy

autor

Ciałkowski M. J.

• Technical University of Poznań, ul. Piotrowo 3, 60-965 Poznań

Bibliografia

• [1] Ciałkowski M.J., Solution of inverse heat conduction problem with the use new type of finite element base functions. Proceedings of the International Symposium on Trends in Continuum Physics, TRECOP'98 Poznań, 17-20 August. Eds. B.T.Maruszewski, W.Muschik, A.Radowicz, Word Scientific, Singapore, New Jersey, London, Hong Kong, pp.64-78, 1998.
• [2] Ciałkowski M.J., Futakiewicz S., Hożejowski L., Heat polynomials applied to direct and inverse heat conduction problems. Proceedings of the International Symposium on Trends in Continuum Physics, TRECOP'98 Poznań, 17-20 August. Eds. B.T.Maruszewski, W.Muschik, A.Radowicz, Word Scientific, Singapore, New Jersey, London, Hong Kong, pp.79-86, 1998.
• [3] Ciałkowski M.J., Futakiewicz S., Hożejowski L., Method of heat polynomials in solving the inverse heat conduction problems. Zeitschrift fr Angewandte Mathematik und Mechanik, 79(1999), T709-710.
• [4] Ciałkowski M.J., Frąckowiak A., Heat-Functions and their Application to Solving Heat Conduction Problems, Wydawnictwo Naukowe PP, Poznań 2000, pp.1-250, in press.
• [5] Rosenbloom P.C., Widder D.V., Expansions in terms of heat polynomials and associated functions. Trans.Amer.Math.Soc. Vol.92, pp.220-226, 1959.
• [6] Yano H., Fukutani S., Kieda A., A boundary residual method with heat polynomials for solving unsteady heat conduction problem. Journal of the Franklin Institute, Vol.316, No 4, pp.291-298, October 1983.