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Efficient Iterative Algorithms for the Stochastic Finite Element Method with Application to Acoustic Scattering

dc.contributor.authorElman, Howarden_US
dc.contributor.authorErnst, Oliver G.en_US
dc.contributor.authorO'Leary, Dianne P.en_US
dc.contributor.authorStewart, Michaelen_US
dc.description.abstractIn this study, we describe the algebraic computations required to implement the stochastic finite element method for solving problems in which uncertainty is restricted to right hand side data coming from forcing functions or boundary conditions. We show that the solution can be represented in a compact outer product form which leads to efficiencies in both work and storage, and we demonstrate that block iterative methods for algebraic systems with multiple right hand sides can be used to advantage to compute this solution. We also show how to generate a variety of statistical quantities from the computed solution. Finally, we examine the behavior of these statistical quantities in one setting derived from a model of acoustic scattering. UMIACS-TR-2002-102en_US
dc.format.extent57233262 bytes
dc.relation.ispartofseriesUM Computer Science Department; CS-TR-4423en_US
dc.relation.ispartofseriesUMIACS; UMIACS-TR-2002-102en_US
dc.titleEfficient Iterative Algorithms for the Stochastic Finite Element Method with Application to Acoustic Scatteringen_US
dc.typeTechnical Reporten_US
dc.relation.isAvailableAtDigital Repository at the University of Marylanden_US
dc.relation.isAvailableAtUniversity of Maryland (College Park, Md.)en_US
dc.relation.isAvailableAtTech Reports in Computer Science and Engineeringen_US
dc.relation.isAvailableAtUMIACS Technical Reportsen_US

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