Dissertation/Thesis Abstract

Application and optimization of complete radiation boundary conditions
by LaGrone, John, Ph.D., Southern Methodist University, 2016, 128; 10144064
Abstract (Summary)

We describe the implementation of optimal local radiation boundary condition sequences for second order finite difference approximations to Maxwell's equations and the scalar wave equation using the double absorbing boundary formulation. Numerical experiments are presented which demonstrate that the design accuracy of the boundary conditions is achieved and exceeds that of perfectly matched layers for comparable effort.

We also describe the application of CRBC type boundary conditions for elastic waves in (an)isotropic media. The results show that we can optimize the CRBC problems for a subset of elastic media. Additionally, we propose a generalized CRBC type boundary conditions that may be more applicable to elastic wave equations and present some preliminary results.

Indexing (document details)
Advisor: Hagstrom, Thomas
Commitee: Appelo, Daniel, Lee, Barry, Reynolds, Daniel
School: Southern Methodist University
Department: Mathematics
School Location: United States -- Texas
Source: DAI-B 78/02(E), Dissertation Abstracts International
Subjects: Applied Mathematics, Electromagnetics
Keywords: Elastodynamics, Finite difference time domain, Maxwell's equations, Radition boundary conditions, Wave equation, Yee scheme
Publication Number: 10144064
ISBN: 9781339992570
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