Index Catalog // ScholarsArchive@OSU

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:: } . where n is a vector normal to the surface of D, and T (f) is the trace of f on D. Taking the tensor

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:: = −1 ρ ∇p + µ∇2u + 1 ρ F A difficulty arises in finding our solution in 3 dimensions be- cause we

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:: A Sequential Operator Splitting Method for Electromagnetic Wave

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:: ) = { f ∈ H1(D) : T (f) = 0 } , where n is a vector normal to the boundary and T (f) is the trace of f

ScholarsArchive@OSU