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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:
    . Vitaliy Gyrya and Dr. Gianmarco Manzini who welcomed me to the theoretical division of Los Alamos

  • 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:
    indebted to Dr. Vitaliy Gyrya, my col- laborator and mentor at the Los Alamos National Laboratory, who