Fast Computation of High-Frequency Dirichlet Eigenmodes via Spectral Flow of the Interior Neumann-to-Dirichlet Map

Barnett, Alexander; Hassell, Andrew

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Fast Computation of High-Frequency Dirichlet Eigenmodes via Spectral Flow of the Interior Neumann-to-Dirichlet Map

Date

2014

Authors

Barnett, Alexander

Hassell, Andrew

Publisher

John Wiley & Sons Inc

Abstract

We present a new algorithm for numerical computation of large eigenvalues and associated eigenfunctions of the Dirichlet Laplacian in a smooth, star-shaped domain in ℝd, d≥2. Conventional boundary-based methods require a root search in eigenfrequency

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http://hdl.handle.net/1885/77405

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Open Access Research

Source

Communications on Pure and Applied Mathematics

Type

Journal article

DOI

10.1002/cpa.21458

Restricted until

2037-12-31

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Fast Computation of High-Frequency Dirichlet Eigenmodes via Spectral Flow of the Interior Neumann-to-Dirichlet Map

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