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dc.contributor.authorIsakov, Victor, 1947-
dc.contributor.authorLeung, Shingyu
dc.contributor.authorQian, Jianliang
dc.date.accessioned2012-02-20T21:49:25Z
dc.date.available2012-02-20T21:49:25Z
dc.date.issued2011
dc.identifier.citationIsakov V., Leung S., and Qian J. 2011. "A fast local level set method for inverse gravimetry". Communications in Computational Physics. 10 (4): 1044-1070.en_US
dc.identifier.issn1815-2406
dc.identifier.issn1991-7120
dc.identifier.otherWOS:000298764000014
dc.identifier.urihttp://hdl.handle.net/10057/4486
dc.identifier.urihttp://dx.doi.org/10.4208/cicp.100710.021210a
dc.descriptionClick on the DOI link to access the article (may not be free).en_US
dc.description.abstractWe propose a fast local level set method for the inverse problem of gravimetry. The theoretical foundation for our approach is based on the following uniqueness result: if an open set D is star-shaped or x(3)-convex with respect to its center of gravity, then its exterior potential uniquely determines the open set D. To achieve this purpose constructively, the first challenge is how to parametrize this open set D as its boundary may have a variety of possible shapes. To describe those different shapes we propose to use a level-set function to parametrize the unknown boundary of this open set. The second challenge is how to deal with the issue of partial data as gravimetric measurements are only made on a part of a given reference domain a To overcome this difficulty, we propose a linear numerical continuation approach based on the single layer representation to find potentials on the boundary of some artificial domain containing the unknown set D. The third challenge is how to speed up the level set inversion process. Based on some features of the underlying inverse gravimetry problem such as the potential density being constant inside the unknown domain, we propose a novel numerical approach which is able to take advantage of these features so that the computational speed is accelerated by an order of magnitude. We carry out numerical experiments for both two- and three-dimensional cases to demonstrate the effectiveness of the new algorithm.en_US
dc.language.isoen_USen_US
dc.publisherGlobal-Science Pressen_US
dc.relation.ispartofseriesCommunications in Computational Physics;2011:, v.10, no.4
dc.subjectLevel set methodsen_US
dc.subjectInverse gravimetryen_US
dc.subjectFast algorithmsen_US
dc.subjectNumerical continuationen_US
dc.titleA fast local level set method for inverse gravimetryen_US
dc.typeArticleen_US
dc.description.versionPeer reviewed article
dc.rights.holderCopyright by © 2011, Global-Science Press


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