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

Barnett, Alexander; Hassell, Andrew

Description

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

CollectionsANU Research Publications
Date published: 2014
Type: Journal article
URI: http://hdl.handle.net/1885/77405
Source: Communications on Pure and Applied Mathematics
DOI: 10.1002/cpa.21458

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