A simple method of calculating eigenvalues and resonances in domains with infinite regular ends

DOI10.1017/S0308210506001144zbMath1170.35069arXivmath/0611237OpenAlexW2163372109MaRDI QIDQ3548794

Michael Levitin, Marco Marlettta

Publication date: 17 December 2008

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611237

zbMATH Keywords

elliptic equationseigenvalue problemsresonancesboundary-elements, finite-elements and spectral methodscombination of domain decompositiondomains with infinite regular ends

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) General topics in linear spectral theory for PDEs (35P05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Boundary element methods for boundary value problems involving PDEs (65N38)

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Hardy space infinite elements for time-harmonic two-dimensional elastic waveguide problems ⋮ Essential spectrum for dissipative Maxwell equations in domains with cylindrical ends ⋮ Resonances for Schrödinger operators on infinite cylinders and other products ⋮ Convergence of infinite element methods for scalar waveguide problems ⋮ Two scale Hardy space infinite elements for scalar waveguide problems ⋮ Computation of scattering matrices and their derivatives for waveguides ⋮ Modified transmission eigenvalues for inverse scattering in a fluid-solid interaction problem ⋮ Krein formula with compensated singularities for the ND-mapping and the generalized Kirchhoff condition at the Neumann Schrödinger junction ⋮ Calculation of the Kirchhoff coefficients for the Helmholtz resonator ⋮ Impedance Eigenvalues in Linear Elasticity

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