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dc.contributor.authorBeretta, Elena
de Hoop, Maarten V.
Faucher, Florian
Scherzer, Otmar
dc.date.accessioned 2017-05-15T21:11:38Z
dc.date.available 2017-05-15T21:11:38Z
dc.date.issued 2016
dc.identifier.citation Beretta, Elena, de Hoop, Maarten V., Faucher, Florian, et al.. "Inverse Boundary Value Problem For The Helmholtz Equation: Quantitative Conditional Lipschitz Stability Estimates." SIAM Journal on Mathematical Analysis, 48, no. 6 (2016) SIAM: 3962-3983. http://dx.doi.org/10.1137/15M1043856.
dc.identifier.urihttps://hdl.handle.net/1911/94277
dc.description.abstract We study the inverse boundary value problem for the Helmholtz equation using the Dirichlet-to-Neumann map at selected frequencies as the data. A conditional Lipschitz stability estimate for the inverse problem holds in the case of wavespeeds that are a linear combination of piecewise constant functions (following a domain partition) and gives a framework in which the scheme converges. The stability constant grows exponentially as the number of subdomains in the domain partition increases. We establish an order optimal upper bound for the stability constant. We eventually realize computational experiments to demonstrate the stability constant evolution for three-dimensional wavespeed reconstruction.
dc.language.iso eng
dc.publisher SIAM
dc.rights Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
dc.title Inverse Boundary Value Problem For The Helmholtz Equation: Quantitative Conditional Lipschitz Stability Estimates
dc.type Journal article
dc.citation.journalTitle SIAM Journal on Mathematical Analysis
dc.citation.volumeNumber 48
dc.citation.issueNumber 6
dc.type.dcmi Text
dc.identifier.doihttp://dx.doi.org/10.1137/15M1043856
dc.type.publication publisher version
dc.citation.firstpage 3962
dc.citation.lastpage 3983


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