Huygens' surface excitation for the finite element method applied to Maxwell's equations -- a construction based on Nitsche's method

DOI10.1016/j.jcp.2023.112237OpenAlexW4378071672MaRDI QIDQ6105090

Thomas Rylander, Johan Winges

Publication date: 16 June 2023

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2023.112237

zbMATH Keywords

finite element methodscatteringMaxwell's equationshybrid methodNitsche's methodHuygens' surface

Mathematics Subject Classification ID

Basic methods for problems in optics and electromagnetic theory (78Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) General topics in optics and electromagnetic theory (78Axx)

Cites Work

• A uniformly well-conditioned, unfitted Nitsche method for interface problems
• Higher-order brick-tetrahedron hybrid method for Maxwell's equations in time domain
• Mixed finite elements in \(\mathbb{R}^3\)
• A perfectly matched layer for the absorption of electromagnetic waves
• Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
• Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
• A method of finite element tearing and interconnecting and its parallel solution algorithm
• Finite Element Methods for Maxwell's Equations
• Scattering of Electromagnetic Waves by Obstacles
• Perfectly matched layer in three dimensions for the time-domain finite element method applied to radiation problems
• The Method of Moments in Electromagnetics
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