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Title: Stability analysis for electromagnetic waveguides. Part 2: non-homogeneous waveguides
This paper is a continuation of Melenk et al., "Stability analysis for electromagnetic waveguides. Part 1: acoustic and homogeneous electromagnetic waveguides" (2023), extending the stability results for homogeneous electromagnetic (EM) waveguides to the non-homogeneous case. The analysis is done using perturbation techniques for self-adjoint operators eigenproblems. We show that the non-homogeneous EM waveguide problem is well-posed with the stability constant scaling linearly with waveguide length L. The results provide a basis for proving convergence of a Discontinuous Petrov-Galerkin (DPG) discretization based on a full envelope ansatz, and the ultraweak variational formulation for the resulting modified system of Maxwell equations, see Part 1.  more » « less
Award ID(s):
2103524
PAR ID:
10530590
Author(s) / Creator(s):
; ; ;
Publisher / Repository:
Springer
Date Published:
Journal Name:
Advances in Computational Mathematics
Volume:
50
Issue:
3
ISSN:
1019-7168
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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