Convergence of infinite element methods for scalar waveguide problems

Abstract

We consider the numerical solution of scalar wave equations in domains which are the union of a bounded domain and a finite number of infinite cylindrical waveguides. The aim of this paper is to provide a new convergence analysis of both the Perfectly Matched Layer (PML) method and the Hardy space infinite element method in a unified framework. We treat both diffraction and resonance problems. The theoretical error bounds are compared with errors in numerical experiments.

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• Tunable Fano Resonances in Transport through Microwave Billiards
• Evanescent channels and scattering in cylindrical nanowire heterostructures
• High order Curl-conforming Hardy space infinite elements for exterior Maxwell problems
• Finite element method for accurate 3D simulation of plasmonic waveguides

Cited by in corpus (1)

• FEM-BEM mortar coupling for the Helmholtz problem in three dimensions