Variants of Finite Element Method with Trefftz Base Functions for Solving Direct and Inverse Nonlinear Heat Conduction Problems
(Warianty metody elementów skończonych z podstawowymi funkcjami Treffza do rozwiązywania prostych i odwrotnych zagadnień nieliniowego przewodzenia ciepła) Czasopismo: Publikacja internetowa APCOM&ISCM 11-14th Dec, 2013, Singapore Strony: 1-8 Opublikowano: 2013 Liczba arkuszy wydawniczych: 0.50
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Krzysztof Grysa
WZiMK
Katedra Informatyki i Matematyki Stosowanej**
30
.00
Artur Maciąg
WZiMK
Katedra Informatyki i Matematyki Stosowanej**
30
.00
Magdalena Kisiel
10
.00
Patrycja Mazurczak
10
.00
Anna Pawińska
WZiMK
Katedra Informatyki i Matematyki Stosowanej**
20
.00
Grupa MNiSW: Pozostałe publikacje (niepunktowane) Punkty MNiSW: 0
B I B L I O G R A F I A
Trefftz E. (1926), Ein Gegenstuek zum Ritz'schen Verfahren, Proceedings 2nd International Congres of Applied Mechanics (Zurich), pp. 131–137. Ciałkowski M.J. and Frąckowiak A. (2000), Heat Functions and Their Application for Solving Heat Transfer and Mechanical Problems, Poznań University of Technology Publishers. (in Polish) Ciałkowski M.J., Frąckowiak A. and Grysa K. (2007), Solution of a stationary inverse heat conduction problems by means of Trefftz non - continuous method, International Journal of Heat Mass Transfer 50, pp. 2170–2181. Grysa K., Leśniewska R. and Maciąg A. (2008), Energetic approach to direct and inverse heat conduction problems with Trefftz functions used in FEM, Computer Assisted Mechanics and Engineering Sciences CAMES, 15, pp. 171–182. Maciag, A. (2011), The usage of wave polynomials in solving direct and inverse problems for two-dimensional wave equation, Int. J. Numer. Meth. Biomed. Engng., 27, pp. 1107–1125. Maciag, A. (2007), Wave polynomials in elasticity problems, Engineering Transactions, 55(2), pp.129–153. Grysa K. and Maciag A. (2011) Solving direct and inverse thermoelasticity problems by means of Trefftz base functions for The Finite Element Method, Journal of Thermal Stresses 34 (04) pp. 378–393. Al-Khatib, M.J., Grysa, K. and Maciag A. (2008), The method of solving polynomials in the beam vibration problems, Journal of Theoretical and Applied Mechanics, 46 (2), pp. 347–366. Maciag, A. (2011a), Trefftz function for a plate vibration problem, Journal of Theoretical and Applied Mechanics, 49(1), pp. 97–116. Qing-Hua Qin (2000), The Trefftz Finite and Boundary Element Method, WIT Press, Southampton, Boston. Kolodziej, J.A. and Zielinski, A.P. (2009), Boundary collocation techniques and their application in engineering, WIT Press, Southampton, Boston. Li, Z-C., Qiu Lu T-T., Hu H-Y. and Cheng H-D. (2008), The Trefftz and Collocation Methods, WIT Press, Southampton, Boston. Grysa, K. (2010), Trefftz functions and their applications in solving the inverse the inverse problems, Kielce University of Technology Publishers (in Polish). Uściłowska, A. (2008) Application of the Trefftz Method to nonlinear potential problems, Computer Assisted Mechanics and Engineering Science, 15 3/4, 377–390. Grysa, K., Maciąg, A. and Pawińska, A. (2012), Solving nonlinear direct and inverse problems of stationary heat transfer by using Trefftz functions, International Journal of Heat and Mass Transfer 55, pp. 7336–7340. Ciałkowski, M.J. (1999), Solution of inverse heat conduction problem with use new type of finite element base functions. In: B.T.Maruszewski, W.Muschik, A.Radowicz, eds.,Proceedings of the International Symposium on Trends in Continuum Physics, World Scientific Publishing, Singapore, New Jersey, London, Hong Kong, pp. 64–78
