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Boundary quasi-orthogonality and sharp inclusion bounds for large dirichlet eigenvalues

Barnett, Alex; Hassell, Andrew

Description

We study eigenfunctions fj and eigenvalues φj of the Dirichlet Laplacian on a bounded domain Ω C ℝn with piecewise smooth boundary. We bound the distance between an arbitrary parameter E >0 and the spectrum {Ej} in terms of the boundary L2-norm of a n

CollectionsANU Research Publications
Date published: 2011
Type: Journal article
URI: http://hdl.handle.net/1885/70695
Source: SIAM Journal of Numerical Analysis
DOI: 10.1137/100796637

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