{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,7,25]],"date-time":"2024-07-25T07:19:26Z","timestamp":1721891966289},"reference-count":24,"publisher":"Elsevier BV","issue":"8","license":[{"start":{"date-parts":[[2012,4,1]],"date-time":"2012-04-01T00:00:00Z","timestamp":1333238400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematics and Computers in Simulation"],"published-print":{"date-parts":[[2012,4]]},"DOI":"10.1016\/j.matcom.2012.02.002","type":"journal-article","created":{"date-parts":[[2012,2,23]],"date-time":"2012-02-23T21:03:54Z","timestamp":1330031034000},"page":"1445-1458","source":"Crossref","is-referenced-by-count":14,"title":["Determination of inner boundaries in modified Helmholtz inverse geometric problems using the method of fundamental solutions"],"prefix":"10.1016","volume":"82","author":[{"given":"B.","family":"Bin-Mohsin","sequence":"first","affiliation":[]},{"given":"D.","family":"Lesnic","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/j.matcom.2012.02.002_bib0005","doi-asserted-by":"crossref","first-page":"153","DOI":"10.1216\/JIE-2009-21-2-153","article-title":"The direct method of fundamental solutions and the inverse Kirsch\u2013Kress method for the reconstruction of elastic inclusions or cavities","volume":"21","author":"Alves","year":"2009","journal-title":"J. Integr. Equat. Appl."},{"key":"10.1016\/j.matcom.2012.02.002_bib0010","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1016\/S0895-7177(99)00233-2","article-title":"The method of fundamental solutions for linear diffusion-reaction equations","volume":"31","author":"Balakrishnan","year":"2000","journal-title":"Math. Comput. Model."},{"key":"10.1016\/j.matcom.2012.02.002_bib0015","doi-asserted-by":"crossref","first-page":"644","DOI":"10.1137\/0722040","article-title":"Fundamental solutions method for elliptic boundary value problems","volume":"22","author":"Bogomolny","year":"1985","journal-title":"SIAM J. Numer. Anal."},{"key":"10.1016\/j.matcom.2012.02.002_bib0020","doi-asserted-by":"crossref","first-page":"381","DOI":"10.1216\/JIE-2009-21-3-383","article-title":"The method of fundamental solutions for detection of cavities in EIT","volume":"21","author":"Borman","year":"2009","journal-title":"J. Integr. Equat. Appl."},{"key":"10.1016\/j.matcom.2012.02.002_bib0025","doi-asserted-by":"crossref","first-page":"405","DOI":"10.1016\/j.enganabound.2006.01.001","article-title":"Some comments on the ill-conditioning of the method of fundamental solutions","volume":"30","author":"Chen","year":"2006","journal-title":"Eng. Anal. Bound. Elem."},{"key":"10.1016\/j.matcom.2012.02.002_bib0030","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1023\/A:1018981221740","article-title":"The method of fundamental solutions for elliptic boundary value problems","volume":"9","author":"Fairweather","year":"1998","journal-title":"Adv. Comput. Math."},{"key":"10.1016\/j.matcom.2012.02.002_bib0035","series-title":"Boundary Integral Methods: Numerical and Mathematical Aspects","first-page":"103","article-title":"The method of fundamental solutions for potential, Helmholtz and diffusion problems","author":"Golberg","year":"1999"},{"key":"10.1016\/j.matcom.2012.02.002_bib0040","doi-asserted-by":"crossref","unstructured":"V. Isakov, Inverse obstacle problems, Inverse Problems 25 (2009) 123002 (18pp).","DOI":"10.1088\/0266-5611\/25\/12\/123002"},{"key":"10.1016\/j.matcom.2012.02.002_bib0045","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1216\/jiea\/1181075363","article-title":"Nonlinear integral equations for solving inverse boundary value problems for inclusions and cracks","volume":"18","author":"Ivanyshyn","year":"2006","journal-title":"J. Integr. Equat. Appl."},{"key":"10.1016\/j.matcom.2012.02.002_bib0050","doi-asserted-by":"crossref","first-page":"803","DOI":"10.1080\/17415970802580263","article-title":"Detection of cavities using the method of fundamental solutions","volume":"17","author":"Karageorghis","year":"2009","journal-title":"Inverse Problems Sci. Eng."},{"key":"10.1016\/j.matcom.2012.02.002_bib0055","doi-asserted-by":"crossref","first-page":"183","DOI":"10.4208\/aamm.09-m0962","article-title":"The pressure-stream function MFS formulation for the detection of an obstacle immersed in a two-dimensional Stokes flow","volume":"2","author":"Karageorghis","year":"2010","journal-title":"Adv. Appl. Math. Mech."},{"key":"10.1016\/j.matcom.2012.02.002_bib0060","doi-asserted-by":"crossref","first-page":"567","DOI":"10.1080\/17415971003675019","article-title":"The method of fundamental solutions for the inverse conductivity problem","volume":"18","author":"Karageorghis","year":"2010","journal-title":"Inverse Problems Sci. Eng."},{"key":"10.1016\/j.matcom.2012.02.002_bib0065","doi-asserted-by":"crossref","first-page":"631","DOI":"10.1016\/j.enganabound.2010.11.010","article-title":"Application of the MFS to inverse obstacle scattering problems","volume":"35","author":"Karageorghis","year":"2011","journal-title":"Eng. Anal. Bound. Elem."},{"key":"10.1016\/j.matcom.2012.02.002_bib0070","series-title":"Boundary Elements IX","first-page":"3","article-title":"An optimization method in inverse acoustic scattering","author":"Kirsch","year":"1987"},{"key":"10.1016\/j.matcom.2012.02.002_bib0075","first-page":"221","article-title":"Boundary reconstruction in two-dimensional functionally graded materials using a regularized MFS","volume":"46","author":"Marin","year":"2009","journal-title":"CMES Comput. Model. Eng. Sci."},{"key":"10.1016\/j.matcom.2012.02.002_bib0080","doi-asserted-by":"crossref","first-page":"3326","DOI":"10.1016\/j.ijsolstr.2010.08.010","article-title":"Regularized method of fundamental solutions for boundary identification in two-dimensional isotropic linear elasticity","volume":"47","author":"Marin","year":"2010","journal-title":"Int. J. Solids Struct."},{"key":"10.1016\/j.matcom.2012.02.002_bib0085","first-page":"259","article-title":"Regularized MFS-based boundary identification in two-dimensional Helmholtz-type equations","volume":"10","author":"Marin","year":"2009","journal-title":"CMC Comput. Mater. Continua"},{"key":"10.1016\/j.matcom.2012.02.002_bib0090","doi-asserted-by":"crossref","first-page":"342","DOI":"10.1016\/j.enganabound.2010.09.014","article-title":"The MFS for numerical boundary identification in two-dimensional harmonic problems","volume":"35","author":"Marin","year":"2011","journal-title":"Eng. Anal. Bound. Elem."},{"key":"10.1016\/j.matcom.2012.02.002_bib0095","doi-asserted-by":"crossref","first-page":"5815","DOI":"10.1016\/j.ijheatmasstransfer.2010.08.002","article-title":"Boundary identification in two-dimensional steady state anisotropic heat conduction using a regularized meshless method","volume":"53","author":"Marin","year":"2010","journal-title":"Int. J. Heat Mass Transfer"},{"key":"10.1016\/j.matcom.2012.02.002_bib0100","doi-asserted-by":"crossref","first-page":"517","DOI":"10.1016\/j.enganabound.2007.10.011","article-title":"An iterative MFS approach for the detection of immersed obstacles","volume":"32","author":"Martins","year":"2008","journal-title":"Eng. Anal. Bound. Elem."},{"key":"10.1016\/j.matcom.2012.02.002_bib0105","doi-asserted-by":"crossref","first-page":"789","DOI":"10.1002\/cnm.537","article-title":"Method of fundamental solutions: singular value decomposition analysis","volume":"18","author":"Ramachandran","year":"2002","journal-title":"Commun. Numer. Methods Eng."},{"key":"10.1016\/j.matcom.2012.02.002_bib0110","doi-asserted-by":"crossref","first-page":"691","DOI":"10.3934\/ipi.2007.1.691","article-title":"A hybrid method for inverse scattering for sound-soft obstacles in \u211d3","volume":"1","author":"Serranho","year":"2007","journal-title":"Inverse Problems Imaging"},{"key":"10.1016\/j.matcom.2012.02.002_bib0115","doi-asserted-by":"crossref","first-page":"1399","DOI":"10.1090\/S0025-5718-09-02191-7","article-title":"Applicability and applications of the method of fundamental solutions","volume":"78","author":"Smyrlis","year":"2009","journal-title":"Math. Comput."},{"key":"10.1016\/j.matcom.2012.02.002_bib0120","doi-asserted-by":"crossref","first-page":"371","DOI":"10.1007\/s00466-008-0246-6","article-title":"The method of fundamental solutions for a biharmonic inverse boundary determination problem","volume":"42","author":"Zeb","year":"2008","journal-title":"Comput. Mech."}],"container-title":["Mathematics and Computers in Simulation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0378475412000262?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0378475412000262?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,6,24]],"date-time":"2019-06-24T05:25:37Z","timestamp":1561353937000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0378475412000262"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,4]]},"references-count":24,"journal-issue":{"issue":"8","published-print":{"date-parts":[[2012,4]]}},"alternative-id":["S0378475412000262"],"URL":"https:\/\/doi.org\/10.1016\/j.matcom.2012.02.002","relation":{},"ISSN":["0378-4754"],"issn-type":[{"value":"0378-4754","type":"print"}],"subject":[],"published":{"date-parts":[[2012,4]]}}}