Karageorghis, A, Lesnic, D and Marin, L (2014) Regularized collocation Trefftz method for void detection in two-dimensional steady-state heat conduction problems. Inverse Problems in Science and Engineering, 22 (3). 395 - 418. ISSN 1741-5977
Abstract
We propose the use of the collocation Trefftz method for the solution of inverse geometric problems and, in particular, the determination of the boundary of a void. As was the case in the solution of such problems using the method of fundamental solutions, the algorithm for imaging the interior of the medium also makes use of radial polar parametrization of the unknown void shape in two dimensions. The centre of this radial polar parametrization is considered to be unknown. The feasibility of this new method is illustrated by several numerical examples highlighting its advantages and shortcomings.
Metadata
Item Type: | Article |
---|---|
Authors/Creators: |
|
Copyright, Publisher and Additional Information: | (c) 2013, Taylor & Francis. This is an Accepted Manuscript of an article published by Taylor & Francis in Inverse Problems in Science and Engineering on 24/04/13, available online: http://www.tandfonline.com/10.1080/17415977.2013.788172 Uploaded in accordance with the publisher's self-archiving policy |
Keywords: | collocation; inverse problem; Trefftz method; void detection |
Dates: |
|
Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 05 Nov 2014 14:30 |
Last Modified: | 22 Jan 2018 07:00 |
Published Version: | http://dx.doi.org/10.1080/17415977.2013.788172 |
Status: | Published |
Publisher: | Taylor & Francis |
Identification Number: | 10.1080/17415977.2013.788172 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:81061 |