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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:
    ’ Law and Continuity Equation . . . . . . . . . . . . . . . . . . . 96 4.4 Numerical Demonstration of

  • 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:
    ) by τ , we obtain the following ordinary differential equation: τ ∂P(x, t) ∂t = �0�∞ (�q − 1) E (x