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:: 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:: 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, Vrushali A. and Gibson, Nathan L.
Abstract:: We study the stability properties of, and the phase error present in, several higher order (in space) staggered finite difference schemes for Maxwell's equations coupled with a Debye or Lorentz polarization model. We present a novel expansion of the symbol of finite difference approximations, of arbitrary (even) order, of the...
Resource Type:: Technical Report
Full Text:: . 1 Introduction The computational simulation of electromagnetic interrogation problems, for the

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

Creator:: Oregon State University
Resource Type:: Other
Full Text:: copy of and click the Print Version icon and follow the subsequent instructions. For archived copies

Creator:: Oregon State University
Resource Type:: Other
Full Text:: copy of and click the Print Version icon and follow the subsequent instructions. For archived copies

ScholarsArchive@OSU