A Mixed Basis Perturbation Approach to Approximate the Spectrum of Laplace Operator

Details A Mixed Basis Perturbation Approach to Approximate the Spectrum of Laplace Operator A Mixed Basis Perturbation Approach to Approximate the Spectrum of Laplace Operator

2009-09-04

arxiv.org/abs/0909.0935v1

Physics

Chemical Physics

Conference proceedings

Scientific paper

This paper presents a mixed basis approach for Laplace eigenvalue problems, which treats the boundary as a perturbation of the free Laplace operator. The method separates the boundary from the volume via a generic function that can be pre-calculated and thereby effectively reduces the complexity of the problem to a calculation over the surface. Several eigenvalues are retrieved simultaneously. The method is applied to several 2 dimensional geometries with Neumann boundary conditions.

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