On the Determination of a Robin Boundary Coefficient in an Elastic Cavity Using the MFS

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Citations (Scopus)

Abstract

In this work, we address a problem of recovering a boundary condition on an elastic cavity from a single boundary measurement on an external part of the boundary. The boundary condition is given by a Robin condition and we aim to identify its Robin coefficient (matrix). We discuss the uniqueness question for this inverse problem and present several numerical simulations, based on two different reconstruction approaches: An approach by solving the Cauchy problem and an iterative Newton type approach (that requires the computation of several direct problems). To solve the mentioned (direct and inverse) problems, we propose the Method of Fundamental Solutions (MFS) whose properties will be discussed.
Original languageUnknown
Title of host publicationCOMPUTATIONAL METHODS IN APPLIED SCIENCES
EditorsA Ferreira, E Kansa, G Fasshauer, V Leitao
Place of PublicationPO BOX 17, 3300 AA DORDRECHT, NETHERLANDS
PublisherSpringer
Pages125--139
Volume11
ISBN (Print)978-1-4020-8820-9
DOIs
Publication statusPublished - 1 Jan 2009
Event2nd ECCOMAS Thematic Conference on Meshles Methods -
Duration: 1 Jan 2007 → …

Conference

Conference2nd ECCOMAS Thematic Conference on Meshles Methods
Period1/01/07 → …

Cite this