A Mixed Basis Perturbation Approach to Approximate the Spectrum of Laplace Operator
Chemical Physics
2009-09-07 v1 Computational Physics
Abstract
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.
Keywords
Cite
@article{arxiv.0909.0935,
title = {A Mixed Basis Perturbation Approach to Approximate the Spectrum of Laplace Operator},
author = {Matias Nordin and Martin Nilsson-Jacobi and Magnus Nydén},
journal= {arXiv preprint arXiv:0909.0935},
year = {2009}
}
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