Fast Numerical Methods for Mixed, Singular Helmholtz Boundary Value Problems and Laplace Eigenvalue Problems - with Applications to Antenna Design, Sloshing, Electromagnetic Scattering and Spectral Geometry

Fast Numerical Methods for Mixed, Singular Helmholtz Boundary Value Problems and Laplace Eigenvalue Problems - with Applications to Antenna Design, Sloshing, Electromagnetic Scattering and Spectral Geometry

This thesis presents a novel class of algorithms for the solution of scattering and eigenvalue problems on general two-dimensional domains under a variety of boundary conditions, including non-smooth domains and certain "Zaremba" boundary conditions - for which Dirichlet and Neumann condit...

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Bibliographic Details
Main Author: Akhmetgaliyev, Eldar
Format: Others
Published: 2016
Online Access:https://thesis.library.caltech.edu/9110/7/AKHMETGALIYEV_THESIS.pdf
Akhmetgaliyev, Eldar (2016) Fast Numerical Methods for Mixed, Singular Helmholtz Boundary Value Problems and Laplace Eigenvalue Problems - with Applications to Antenna Design, Sloshing, Electromagnetic Scattering and Spectral Geometry. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z97P8W93. https://resolver.caltech.edu/CaltechTHESIS:08202015-162838809 <https://resolver.caltech.edu/CaltechTHESIS:08202015-162838809>

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https://thesis.library.caltech.edu/9110/7/AKHMETGALIYEV_THESIS.pdf
Akhmetgaliyev, Eldar (2016) Fast Numerical Methods for Mixed, Singular Helmholtz Boundary Value Problems and Laplace Eigenvalue Problems - with Applications to Antenna Design, Sloshing, Electromagnetic Scattering and Spectral Geometry. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z97P8W93. https://resolver.caltech.edu/CaltechTHESIS:08202015-162838809 <https://resolver.caltech.edu/CaltechTHESIS:08202015-162838809>

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