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Filtering by: Subject Nonlinear wave equations Remove constraint Subject: Nonlinear wave equations Committee Member Gibson, Nathan L. Remove constraint Committee Member: Gibson, Nathan L.

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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:
    Doctor of Philosophy in Mathematics presented on June 4, 2015. Title: The Variable Speed Wave Equation

  • 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:
    and simulation of wave propagation in dispersive dielectrics such as water, human tissue and sand