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Reduced Basis Method for 2nd Order Wave Equation: Application to One-Dimensional Seismic Problem

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dc.contributor.author Tan, Alex Y.K.
dc.contributor.author Patera, Anthony T.
dc.date.accessioned 2007-01-26T17:05:55Z
dc.date.available 2007-01-26T17:05:55Z
dc.date.issued 2007-01
dc.identifier.uri http://hdl.handle.net/1721.1/35808
dc.description.abstract We solve the 2nd order wave equation, hyperbolic and linear in nature, for the pressure distribution of one-dimensional seismic problem with smooth initial pressure and rate of pressure change. The reduced basis method, offline-online computational procedures and a posteriori error estimation are developed. We show that the reduced basis pressure distribution is an accurate approximation to the finite element pressure distribution and the offline-online computational procedures work well. The a posteriori error estimation developed shows that the ratio of the maximum error bound over the maximum norm of the reduced basis error has a constant magnitude of O(10²). The inverse problem works well, giving a “possibility region” of a set of system parameters where the actual system parameters may reside. en
dc.description.sponsorship Singapore-MIT Alliance (SMA) en
dc.format.extent 1172896 bytes
dc.format.mimetype application/pdf
dc.language.iso en en
dc.relation.ispartofseries Computational Engineering (CE) en
dc.subject Hyperbolic Equations en
dc.subject Inverse Problems en
dc.subject Parameterized Partial Differential Equations en
dc.subject Reduced Basis Method en
dc.title Reduced Basis Method for 2nd Order Wave Equation: Application to One-Dimensional Seismic Problem en
dc.type Article en


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