Solving Eigenvalue Problems on Curved Surfaces using the Closest Point Method

Eigenvalue problems are fundamental to mathematics and science. We present a simple algorithm for determining eigenvalues and eigenfunctions of the Laplace–Beltrami operator on rather general curved surfaces. Our algorithm, which is based on the Closest Point Method, relies on an embedding of the su...

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Bibliographic Details
Main Authors: Macdonald, C, Brandman, J, Ruuth, S
Format: Journal article
Published: 2011