Index Catalog // ScholarsArchive@OSU

Creator:: Gibson, Nathan L.
Abstract:: Electromagnetic wave propagation in complex dispersive media is governed by the time dependent Maxwell’s equations coupled to equations that describe the evolution of the induced macroscopic polarization. We consider “polydispersive” materials represented by distributions of dielectric parameters in a polarization model. The work focuses on a novel computational framework for...
Resource Type:: Article
Full Text:: polynomial chaos model (34) for an electromagnetic field propagating through a dispersive dielectric media

Creator:: Banks, H. T., Bokil, V. A., and Gibson, N. L.
Abstract:: We study the stability properties of, and the phase error present in, a finite element scheme for Maxwell’s equations coupled with a Debye or Lorentz polarization model. In one dimension we consider a second order formulation for the electric field with an ordinary differential equation for the electric polarization added...
Resource Type:: Article
Full Text:: for Debye and Lorentz Dispersive Media H. T. Banks∗ Center for Research in Scientific Computation

Creator:: Bokil, V. A., Gibson, N. L., Gyrya, V., and McGregor, D. A.
Abstract:: We present a novel strategy for minimizing the numerical dispersion error in edge discretizations of the time-domain electric vector wave equation on square meshes based on the mimetic finite difference (MFD) method. We compare this strategy, called M-adaptation, to two other discretizations, also based on square meshes. One is the...
Resource Type:: Article
Full Text:: Dispersion reducing methods for edge

Creator:: Scheibe, Timothy D., Murphy, Ellyn M., Chen, Xingyuan, Rice, Amy K., Carroll, Kenneth C., Palmer, Bruce J., Tartakovsky, Alexandre M., Battiato, Ilenia, and Wood, Brian D.
Abstract:: One of the most significant challenges faced by hydrogeologic modelers is the disparity between the spatial and temporal scales at which fundamental flow, transport, and reaction processes can best be understood and quantified (e.g., microscopic to pore scales and seconds to days) and at which practical model predictions are needed...
Resource Type:: Article
Full Text:: Platform for Multiscale Hydrogeologic Modeling with Emphasis on Hybrid Multiscale Methods An Analysis

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