Index Catalog // ScholarsArchive@OSU

Creator:: Bokil, Vrushali and Leung, Aubrey
Abstract:: In this report we consider the Debye model along with Maxwell's equations (Maxwell-Debye) to model electromagnetic wave propagation in dispersive media that exhibit orientational polarization. We construct and analyze a sequential operator splitting method for the discretization of the Maxwell-Debye system. Energy analysis indicates that the operator splitting scheme is...
Resource Type:: Undergraduate Thesis
Full Text:: . All the field variables E,H,D,B,P, and J are functions of time t and space x = (x, y, z) ∈ Ω ⊂ R3

Creator:: Rajbhandari, Evan, Gibson, Nathan L., and Woodside, C. Rigel
Abstract:: We explore one numerical method for dealing with uncertainty quantification, stochastic collocation. We adapt this method for the uncertain kinematic magnetohydrodynamic system. We then demonstrate well-posedness of the uncertain forward problem. We also describe the method in detail, and perform an error analysis of the method, describing the necessary assumptions...
Resource Type:: Preprint
Full Text:: ∈W that satisfy E [∫ D σ−1J · φ ] − E [∫ D ∇V · φ ] = 0 ∀φ ∈ Ṽ , (2a) − E [∫ D Ji · ∇ψ

Creator:: Rajbhandari, Evan, Gibson, Nathan L., and Woodside, C. Rigel
Abstract:: We discuss an efficient numerical method for the uncertain kinematic magnetohydrodynamic system. We include aleatoric uncertainty in the parameters, and then describe a stochastic collocation method to handle this randomness. Numerical demonstrations of this method are discussed. We find that the shape of the parameter distributions affect not only the...
Resource Type:: Preprint
Full Text:: [∫ D σ−1J · φ ] − E [∫ D ∇V · φ ] = 0 ∀φ ∈ V , (1a) − E [∫ D Ji · ∇ψ ] = E [∫ D ( σ(u×B

Creator:: Nicolaysen, Cooper
Abstract:: This research was an attempt at gaining insight into the nature of the incompressibility conditions of the Navier-Stokes Equations on the Unit Circle. We realized the Riesz transformation is given in R^3 after taking the Fourier Transform of the Neumann Boundary Value problem, but this is not well defined on...
Resource Type:: Poster
Full Text:: our incompressibility condition. Where F(f )(ξ) = 1 2π ∫ ∞ −∞ f (x) e−iξx dx is the Fourier

ScholarsArchive@OSU