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  • The Variable Speed Wave Equation and Perfectly Matched Layers

    Creator:
    Kim, Dojin
    Abstract:
    A perfectly matched layer (PML) is widely used to model many different types of wave propagation in different media. It has been found that a PML is often very effective and also easy to set, but still many questions remain. We introduce a new formulation from regularizing the classical Un-Split...
    Resource Type:
    Dissertation
    Full Text:
    the inverse thermoacoustic problem has an explicit solution of the form f = ∞∑ m=0 KmAh, h := Λf

  • Multiscale Methods and Energy Stable Discretizations for Maxwell’s Equations in Linearand Nonlinear Materials

    Creator:
    Sakkaplangkul, Puttha
    Abstract:
    In this dissertation, we introduce a family of fully discrete finite difference time-domain (FDTD) methods for Maxwell’s equations in linear and nonlinear materials. Onecategory of methods is constructed using multiscale techniques involving operator splittings. We present the sequential splitting scheme, the Strang Marchuk splitting scheme,the weighted sequential splitting scheme including...
    Resource Type:
    Dissertation
    Full Text:
    : Incoming wave H at T1. Right: Reflected wave H at T2 . . . . . . . . . . . 159 7.5 Left: Incoming wave M

  • Coupled dynamics of bouys and mooring tethers

    Creator:
    Idris, Krisnaldi
    Abstract:
    Time-domain models were developed to predict the response of a tethered buoy subject to hydrodynamic loadings. A coupled analysis of the interaction of a buoy and its mooring is included and three-dimensional response is assumed. External loadings include hydrodynamic forces, tethers tensions, wind loadings and the weight of both cable...
    Resource Type:
    Dissertation
    Full Text:
    moment vector Euler parameters M mass and added mass matrix rotational axis for Euler parameters

  • Mathematical and Computational Considerations of a Model of Microbiologically Induced Calcite Precipitation

    Creator:
    Barry, Zachary T.
    Abstract:
    In this paper, we discuss two possible modifications to a numerical solution method for a model of microbiologically induced calcite precipitation (MICP). MICP provides a means to seal cracks in the surfaces of geological structures. From a mathematical and computational point of view MICP has very interesting features which make...
    Resource Type:
    Capstone Project
    Full Text:
    represent the exact solution restricted to the grid. Then the global error is Ek = U−u. The method used to

  • 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:
    be Hilbert spaces and a : U×V → R be a bilinear form satisfying ∃M > 0∀(u, v) ∈ U × V : a(u, v) ≤M‖u

  • Vaccine beliefs of complementary and alternative medical (CAM) providers in Oregon

    Creator:
    Bean, Sandra J.
    Abstract:
    Health care providers, including complementary and alternative medical (CAM) practitioners, exert a significant influence on parental pediatric vaccination decisions. Use of CAM therapies is increasing in Oregon. Concomitantly, there has been a decade-long increase in parental vaccine refusal in Oregon, rising from 1 to 5 percent from 2000-2009. For example,...
    Resource Type:
    Dissertation