Numerical investigation of a 3D hybrid high-order method for the indefinite time-harmonic Maxwell problem

Hybrid High-Order (HHO) methods are a recently developed class of methods belonging to the broader family of Discontinuous Sketetal methods. Other well known members of the same family are the well-established Hybridizable Discontinuous Galerkin (HDG) method, the nonconforming Virtual Element Method...

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Bibliographic Details
Published in:Finite elements in analysis and design Vol. 233; p. 104124
Main Authors: Cicuttin, Matteo, Geuzaine, Christophe
Format: Journal Article
Language:English
Published: Elsevier B.V 01.06.2024
Subjects:
Analysis
Applied Mathematics
Class of methods
Computer Graphics and Computer-Aided Design
Computer science
Discontinuous Galerkin
Engineering (all)
Engineering, computing & technology
High-order
High-order methods
Higher-order
Higher-order methods
Hybrid high-order method
Ingénierie, informatique & technologie
Mathematics
Mathématiques
Maxwell equations
Maxwell's problems
Numerical investigations
Physical, chemical, mathematical & earth Sciences
Physique, chimie, mathématiques & sciences de la terre
Sciences informatiques
Time-harmonic
Discontinuous Galerkin
Maxwell equations
Hybrid high-order method
ISSN:0168-874X, 1872-6925, 1872-6925
Online Access:Get full text
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Summary:Hybrid High-Order (HHO) methods are a recently developed class of methods belonging to the broader family of Discontinuous Sketetal methods. Other well known members of the same family are the well-established Hybridizable Discontinuous Galerkin (HDG) method, the nonconforming Virtual Element Method (ncVEM) and the Weak Galerkin (WG) method. HHO provides various valuable assets such as simple construction, support for fully-polyhedral meshes and arbitrary polynomial order, great computational efficiency, physical accuracy and straightforward support for hp-refinement. In this work we propose an HHO method for the indefinite time-harmonic Maxwell problem and we evaluate its numerical performance. In addition, we present the validation of the method in two different settings: a resonant cavity with Dirichlet conditions and a parallel plate waveguide problem with a total/scattered field decomposition and a plane-wave boundary condition. Finally, as a realistic application, we demonstrate HHO used on the study of the return loss in a waveguide mode converter.
Bibliography:scopus-id:2-s2.0-85184023147
ISSN:0168-874X
1872-6925
1872-6925
DOI:10.1016/j.finel.2024.104124