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

Michał J. Ciałkowski

Michał J. Ciałkowski Technical University of Poznań

Abstract

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.

Keywords

References

[1] M.J. Ciałkowski, Solution of inverse heat conduction problem with the 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, TRECOP'98, Poznań, 17- 20 August, pp. 64- 78. Word Scientific, Singapore-New Jersey- London- Hong Kong, 1998.
[2] M.J . Ciałkowski, S. Futakiewicz, L. Hożejowski, Heat polynomials applied to direct and inverse heat conduction problems. In: B.T. Maruszewski, W. Muschik, A. Radowicz, eds., Proceedings of the International Symposium on Trends in Continuum Physics, TRECOP'98, Poznań, 17- 20 August, pp. 79- 86. Word Scientific, Singapore-New Jersey- London- Hong Kong, 1998.
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