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An Efficient Reduced-Order Approach for Nonaffine and Nonlinear Partial Differential Equations

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dc.contributor.author Nguyen, N. C.
dc.contributor.author Peraire, Jaime
dc.date.accessioned 2007-01-31T14:39:20Z
dc.date.available 2007-01-31T14:39:20Z
dc.date.issued 2007-01
dc.identifier.uri http://hdl.handle.net/1721.1/35822
dc.description.abstract In the presence of nonaffine and highly nonlinear terms in parametrized partial differential equations, the standard Galerkin reduced-order approach is no longer efficient, because the evaluation of these terms involves high computational complexity. An efficient reduced-order approach is developed to deal with “nonaffineness” and nonlinearity. The efficiency and accuracy of the approach are demonstrated on several test cases, which show significant computational savings relative to classical numerical methods and relative to the standard Galerkin reduced-order approach. en
dc.description.sponsorship Singapore-MIT Alliance (SMA) en
dc.format.extent 456635 bytes
dc.format.mimetype application/pdf
dc.language.iso en en
dc.relation.ispartofseries Computational Engineering (CE) en
dc.subject Nonaffine Equations en
dc.subject Nonlinear Equations en
dc.subject Reduced-Order Approximation en
dc.subject Best Points Interpolation Method en
dc.title An Efficient Reduced-Order Approach for Nonaffine and Nonlinear Partial Differential Equations en
dc.type Article en


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