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

Frąckowiak, Andrzej; von Wolfersdorf, Jens; Ciałkowski, Michał

doi:10.2140/jomms.2008.3.1047

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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

DOI: 10.2140/jomms.2008.3.1047

Abstract

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.

Keywords

inverse problem, finite element method

Milestones

Received: 7 February 2008

Revised: 26 March 2008

Accepted: 2 April 2008

Published: 1 August 2008

Authors

Andrzej Frąckowiak
Poznań University of Technology Piotrowo 3, 60-965 Poznań Poland

Jens von Wolfersdorf
Universität Stuttgart Institut für Thermodynamik der Luft- und Raumfahrt, Pfaffenwaldring 31, 70569 Stuttgart Germany

Michał Ciałkowski
Poznań University of Technology Piotrowo 3, 60-965 Poznań Poland

Vol. 3, No. 6, 2008

Andrzej Frąckowiak, Jens von Wolfersdorf and Michał Ciałkowski

Abstract

Keywords

Milestones

Authors