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The method of fundamental solutions for Helmholtz-type problems

Bin-Mohsin, Bandar Abdullah (2013) The method of fundamental solutions for Helmholtz-type problems. PhD thesis, University of Leeds.

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Abstract

The purpose of this thesis is to extend the range of application of the method fundamental solutions (MFS) to solve direct and inverse geometric problems associated with two- or three-dimensional Helmholtz-type equations. Inverse problems have become more and more important in various fields of sicence and technology, and have certainly been one of the fastest growing areas in applied mathematics over the last three decades. However, as inverse geometric problems typically lead to mathematical models which are ill-posed, their solutions are unstable under data perturbations and classical numerical techniques fail to provide accurate and stable solutions.

Item Type: Thesis (PhD)
ISBN: 978-0-85731-421-5
Academic Units: The University of Leeds > Faculty of Maths and Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds)
Identification Number/EthosID: uk.bl.ethos.589233
Depositing User: Ethos Import
Date Deposited: 17 Dec 2013 10:31
Last Modified: 07 Mar 2014 11:48
URI: http://etheses.whiterose.ac.uk/id/eprint/4843

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