A method of fundamental solutions for theaxisymmetric backward heat equation

B. Tomas Johansson, Daniel Lesnic, Thomas Reeve

Research output: Chapter in Book/Report/Conference proceedingConference publication

Abstract

We propose and investigate an application of the method of fundamental solutions (MFS) to the radially symmetric and axisymmetric backward heat conduction problem (BHCP) in a solid or hollow cylinder. In the BHCP, the initial temperature is to be determined from the temperature measurements at a later time. This is an inverse and ill-posed problem, and we employ and generalize the MFS regularization approach [B.T. Johansson and D. Lesnic, A method of fundamental solutions for transient heat conduction, Eng. Anal. Boundary Elements 32 (2008), pp. 697–703] for the time-dependent heat equation to obtain a stable and accurate numerical approximation with small computational cost.
Original languageEnglish
Title of host publicationAdvances in boundary integral methods: proceedings of the Eight UK Conference on Boundary Integral Methods
Pages9-16
Number of pages7
Publication statusPublished - 2011
Event8th UK Conference on Boundary Integral Methods - University of Leeds, Leeds, United Kingdom
Duration: 4 Jul 20115 Jul 2011

Conference

Conference8th UK Conference on Boundary Integral Methods
CountryUnited Kingdom
CityLeeds
Period4/07/115/07/11

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