Computing scattering resonances using perfectly matched layers with frequency dependent scaling functions

DOI10.1007/s10543-018-0694-0zbMath1394.65138OpenAlexW2787265830WikidataQ92583396 ScholiaQ92583396MaRDI QIDQ1647661

Lothar Nannen, Markus Wess

Publication date: 26 June 2018

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-018-0694-0

zbMATH Keywords

frequencyfinite element methodLaplace operatorperfectly matched layeropen systemcomplex scalingHelmholtz resonancedomain truncationspurious resonance

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (5)

On spurious solutions encountered in Helmholtz scattering resonance computations in \(\mathbb{R}^d\) with applications to nano-photonics and acoustics ⋮ Computing leaky modes of optical fibers using a FEAST algorithm for polynomial eigenproblems ⋮ Complex-scaled infinite elements for resonance problems in heterogeneous open systems ⋮ Complex-scaling method for the complex plasmonic resonances of planar subwavelength particles with corners ⋮ Radial Complex Scaling for Anisotropic Scalar Resonance Problems

Uses Software

• Netgen
• NGSolve

Cites Work

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