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  • Compatible Discretizations for Maxwell's Equations with General Constitutive Laws

    Creator:
    McGregor, D. A.
    Abstract:
    In this thesis we construct compatible discretizations of Maxwell's equations. We use the term compatible to describe numerical methods for Maxwell's equations which obey many properties of vector Calculus in a discrete setting. Compatible discretizations preserve the exterior Calculus ensuring that the divergence of the curl and the curl of...
    Resource Type:
    Dissertation
    Full Text:
    finite element method. There are many ingredients in a MFD method. First one must have a mesh of a

  • Nonlinear solvers for a model problem of fluid flow in the subsurface

    Creator:
    Biederman, Shannon Miriah
    Abstract:
    Water is one of the most biologically and economically important substances on Earth. A significant portion of Earth's water subsists in the subsurface. Our ability to monitor the flow and transport of water and other fluids through this unseen environment is crucial for a myriad of reasons. One difficulty we...
    Resource Type:
    Masters Thesis
    Full Text:
    finite volume, but this will not be discussed. For the finite difference method used in this paper, we