Advanced search
Publication Cover
International Journal of Computer Mathematics Volume 89, 2012 - Issue 11: PROCEEDINGS OF THE 8TH UK CONFERENCE ON BOUNDARY INTEGRAL METHODS, JULY 4TH–5TH, 2011, HELD AT THE UNIVERSITY OF LEEDS, UK
Submit an article Journal homepage
101
Views
2
CrossRef citations to date
0
Altmetric
Section B

Detection of a two-dimensional moving cavity

Michael Dawson School of Process, Environmental and Materials Engineering, University of Leeds, Leeds, LS2 9JT, UKCorrespondence[email protected]
,
Duncan Borman School of Civil Engineering, University of Leeds, Leeds, LS2 9JT, UK
,
Robert B. Hammond School of Process, Environmental and Materials Engineering, University of Leeds, Leeds, LS2 9JT, UK
,
Daniel Lesnic Department of Mathematics, University of Leeds, Leeds, LS2 9JT, UK
&
Dominic Rhodes National Nuclear Laboratory, Sellafield, Seascale, Cumbria, CA20 1PG, UK
Pages 1569-1582 | Received 07 Nov 2011, Accepted 23 Apr 2012, Published online: 25 May 2012

References

  • Borman , D. , Ingham , D. B. , Johansson , B. T. and Lesnic , D. 2009 . The method of fundamental solutions for detection of cavities in EIT . J. Integr. Equ. Appl. , 21 : 383 – 406 .
  • Bryan , K. and Caudill , L. F. Jr. 1998 . Stability and reconstruction for an inverse problem for the heat equation . Inverse Problems , 14 : 1429 – 1453 .
  • Byrd , R. H. , Gilbert , J. C. and Nocedal , J. 2000 . A trust region method based on interior point techniques for nonlinear programming . Math. Programming , 89 : 149 – 185 .
  • Chaji , K. , El Bagdouri , M. and Channa , R. 2008 . A 2D domain boundary estimation . J. Phys.: Conf. Ser. , 135 : 012029
  • Chapko , R. , Kress , R. and Yoon , J. R. 1999 . An inverse boundary value problem for the heat equation: The Neumann condition . Inverse Problems , 15 : 1033 – 1046 .
  • Dawson , M. , Borman , D. , Hammond , R. B. , Lesnic , D. and Rhodes , D. 2011 . A meshless method for solving a two- dimensional transient inverse geometric problem . Int. J. Numer. Methods Heat Fluid Flow , accepted.
  • Dawson , M. , Borman , D. , Hammond , R. B. , Lesnic , D. and Rhodes , D. Meshless detection of an internal moving boundary . Proceedings of the 8th UK Conference on Boundary Integral Methods . Edited by: Lesnic , D. pp. 17 – 24 . Leeds : Leeds University Press .
  • Hon , Y. C. and Li , M. 2008 . A computational method for inverse free boundary determination problem . Int. J. Numer. Methods Eng. , 73 : 1291 – 1309 .
  • Johansson , B. T. and Lesnic , D. 2008 . A method of fundamental solutions for transient heat conduction . Eng. Anal. Boundary Elements , 32 : 679 – 703 .
  • Johansson , B. T. , Lesnic , D. and Reeve , T. 2011 . A method of fundamental solutions for two-dimensional heat conduction . Int. J. Comput. Math. , 88 : 1697 – 1713 .
  • Karageorghis , A. and Lesnic , D. 2009 . Detection of cavities using the method of fundamental solutions . Inverse Problems Sci. Eng. , 17 : 803 – 820 .
  • Karageorghis , A. and Lesnic , D. 2011 . Application of the MFS to inverse scattering problems . Eng. Anal. Boundary Elements , 35 : 631 – 638 .
  • Karageorghis , A. and Lesnic , D. 2012 . A meshless numerical identification of a sound-hard obstacle . Eng. Anal. Boundary Elements , 36 : 1074 – 1081 .
  • Karageorghis , A. , Lesnic , D. and Marin , L. 2011 . A survey of applications of the MFS to inverse problems . Inverse Problems Sci. Eng. , 19 : 309 – 336 .
  • Karageorghis , A. , Lesnic , D. and Marin , L. 2011 . “ The MFS for inverse geometric inverse problems ” . In Inverse Problems and Computational Mechanics 1 , Edited by: Marin , L. , Munteanu , L. and Chiroiu , V. 191 – 216 . Bucharest : Editura Academiei .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.