Search results
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Title
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High Order H(div) Discontinuous Galerkin Methods for MHD Equations
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Author
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Wu, Jian
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Date Created
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2016
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Subjects--Topical
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Mathematics
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Description
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In this dissertation, we investigate the divergence-free discontinuous Galerkin method using the $\mathcal{H}$(\textbf{div}) basis, to solve the nonlinear ideal magnetohydrodynamics (MHD) equations. This is a novel approach to ensure the divergenc...
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Title
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ISOGEOMETRIC ANALYSIS AND PATCHWISE REPRODUCING POLYNOMIAL PARTICLE METHOD FOR PLATES
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Author
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Kim, Hyunju
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Date Created
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2013
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Subjects--Topical
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Mechanical engineering, Mathematics
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Description
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Isogeometric analysis (IGA) is a framework bridging the gap between Computer Aided Design (CAD) and Finite Element Analysis (FEA). So it drastically reduces the error in the representation of the computational domain and the re-meshing by the use ...
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Title
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Isogeometric collocation method for elasticity problems containing singularities
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Author
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Rattan, Puja
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Date Created
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2016
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Subjects--Topical
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Mathematics
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Description
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Isogeometric analysis (IGA), introduced by Hughes, et al. [2,3], is a mathematical approach that combines Finite Element analysis (FEA) in conjunction with engineering design tools, such as CAD, which allows analysis, testing and redesign of struc...
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Title
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Use of Optical Superbeams in Atmospheric Turbulence Applications
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Author
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Gu, Yalong
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Date Created
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2011
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Subjects--Topical
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Optics
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Description
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The use of nonconventional beam classes in turbulence applications is investigated. Through the study on pseudo-Bessel correlated beam propagation in the atmosphere, it is shown that scintillation reduction by a partially coherent beam can be obta...