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

DOI10.1002/cpa.21458zbMath1288.65160arXiv1112.5665OpenAlexW2963251793MaRDI QIDQ5406689

Andrew Hassell, Alex H. Barnett

Publication date: 2 April 2014

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.5665

zbMATH Keywords

algorithmnumerical exampleserror boundseigenfunctionsHelmholtz equationDirichlet LaplacianMATLAB codelarge eigenvaluesstar-shaped smooth domainsweighted interior Neumann-to-Dirichlet operator

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Error bounds for boundary value problems involving PDEs (65N15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (12)

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Uses Software

• Matlab
• DLMF
• FMMLIB2D

Cites Work

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