Vol. 3, No. 6, 2008

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New conception of the FEM base functions applied to solving an inverse heat transfer problem

Andrzej Frąckowiak, Jens von Wolfersdorf and Michał Ciałkowski

Vol. 3 (2008), No. 6, 1047–1057

The present work shows the modified concept of the finite element method which has been applied to the solution of the inverse problem (of Cauchy type) for heat conduction equation in a circular ring. The main idea of the new concept consists of the application a new type of base function which cause the vanishing of some integrals in the strong formulation. The calculation with the new base functions takes place in the physical space, and there is no need to go to the isoparametric one. Numerical calculations of the inverse problem confirm the good properties of a new set of base functions.

inverse problem, finite element method
Received: 7 February 2008
Revised: 26 March 2008
Accepted: 2 April 2008
Published: 1 August 2008
Andrzej Frąckowiak
Poznań University of Technology
Piotrowo 3, 60-965 Poznań
Jens von Wolfersdorf
Universität Stuttgart
Institut für Thermodynamik der Luft- und Raumfahrt,
Pfaffenwaldring 31, 70569 Stuttgart
Michał Ciałkowski
Poznań University of Technology
Piotrowo 3, 60-965 Poznań