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  • Virtual Element Methods for Magnetohydrodynamics on General Polygonal and Polyhedral Meshes

    Creator:
    Naranjo, Sebastián
    Abstract:
    The aim of this dissertation is to construct a virtual element method (VEM) for models in magneto-hydrodynamics (MHD), an area that studies the behavior and properties of electrically conducting fluids such as a plasma. MHD models are a coupling of the Maxwell’s equations for electromagnetics and models for fluid flow....
    Resource Type:
    Dissertation
    Full Text:
    : Vrushali A. Bokil The aim of this dissertation is to construct a virtual element method (VEM) for models

  • A Sequential Operator Splitting Method for Electromagnetic Wave Propagation in Dispersive 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:
    Propagation in Dispersive Media V. A. Bokil†and A. C-Y. Leung∗ Department of Mathematics Oregon State

  • Travelling Wave Analysis of Nonlinear Maxwell Models with Applications to Nonlinear Optics

    Creator:
    Langlie, Noah
    Abstract:
    In 1877 John Kerr described an experiment that demonstrated a quadratic change in refractive index in a plate glass placed in a strong external electric field. This results in a nonlinear relationship between the average electric polarization within the materials and the intensity of the applied electric field. This opened...
    Resource Type:
    Undergraduate Thesis
    Full Text:
    APPLICATIONS TO NONLINEAR OPTICS by Noah Langlie An undergraduate thesis advised by Vrushali A. Bokil

  • Analysis of fourth order numerical methods for the simulation of electromagnetic waves in dispersive media

    Creator:
    Henderson, Scott Edward
    Abstract:
    In this thesis, we investigate the problem of simulating Maxwell's equations in dispersive dielectric media. We begin by explaining the relevance of Maxwell's equations to 21st century problems. We also discuss the previous work on the numerical simulations of Maxwell's equations. Introductions to Maxwell's equations and the Yee finite difference...
    Resource Type:
    Masters Thesis
    Full Text:
    : Vrushali Bokil In this thesis, we investigate the problem of simulating Maxwell’s equations in dis

  • Qualitative Analysis of Maxwell-Duffing Models in Nonlinear Optics

    Creator:
    Tro, Sara K.
    Abstract:
    In this thesis we analyze a model for Kerr optical materials consisting of Maxwell's equations along with the dispersive Duffing model. We consider Duffing models with cubic and quintic polynomial nonlinearities. We assume a traveling wave solution to this nonlinear electromagnetic system and analyze it using the theory of dynamical...
    Resource Type:
    Honors College Thesis
    Full Text:
    : Qualitative Analysis of Maxwell-Duffing Models in Nonlinear Optics Abstract approved: Vrushali A. Bokil In

  • The implicit derivative matching technique for Maxwell's equations in complex heterogeneous media

    Creator:
    Kirk, Anna Rae
    Abstract:
    We construct an implicit derivative matching (IDM) technique for restoring the accuracy of the Yee scheme for Maxwell's equations in dispersive media with material interfaces in one dimension. We consider media exhibiting orientational polarization, which are represented using a Debye dispersive model, examples of which are water and living tissue....
    Resource Type:
    Masters Thesis
    Full Text:
    Technique for Maxwell’s Equations in Complex Heterogeneous Media Abstract approved: Vrushali A. Bokil We

  • A Vector–Host Model for Coinfection by Barley/Cereal Yellow Dwarf Viruses

    Creator:
    Leung, Margaret-Rose W.
    Abstract:
    Barley and cereal yellow dwarf viruses (B/CYDV) are a suite of aphid-vectored pathogens that affect diverse host communities, including economically important crops. Coinfection of a single host by multiple strains of B/CYDV can result in elevated virulence, incidence, and transmission rates. We develop a model for a single host, two...
    Resource Type:
    Honors College Thesis
    Full Text:
    was senior year. Special thanks to my advisor and mentor, Vrushali Bokil, for her assistance

  • Finite Element and Finite Difference Methods for Maxwell’s Equations in Metamaterials

    Creator:
    Stallcup, Isaac A.
    Abstract:
    In this thesis, we consider Maxwell's Equations and their numerical discretization using finite difference and finite element methods. We first describe Maxwell's equations in linear dielectrics and then present finite difference and finite element methods for this case. We then describe Maxwell's equations in linear metamaterials using the Lorentz and...
    Resource Type:
    Honors College Thesis
    Full Text:
    approved: Vrushali Bokil In this thesis, we consider Maxwell’s Equations and their numerical

  • The Effect of Temperature on the Survival of Chinook Eggs and Fry

    Creator:
    Teose, Maarika
    Abstract:
    Temperature data from above and below the Cougar Dam collected by the U.S. Geological Survey prior to the construction of the temperature control structure was analyzed to determine how the di®ering temperature regimes a®ect the growth and survival of threatened spring- run Chinook salmon. An ARIMA time-series model was used...
    Resource Type:
    Honors College Thesis
    Full Text:
    Survival of Chinook Eggs and Fry. Abstract Approved: Edward Waymire Vrushali Bokil ABSTRACT

  • Operator splitting methods for Maxwell's equations in dispersive media

    Creator:
    Keefer, Olivia A.
    Abstract:
    Accurate modeling and simulation of wave propagation in dispersive dielectrics such as water, human tissue and sand, among others, has a variety of applications. For example in medical imaging, electromagnetic waves are used to interrogate human tissue in a non-invasive manner to detect anomalies that could be cancerous. In non-destructive...
    Resource Type:
    Masters Thesis
    Full Text:
    for Maxwell’s Equations in Dispersive Media Abstract approved: Vrushali A. Bokil Accurate modeling