Efficient computation of Maxwell eigenmodes in axisymmetric cavities using hierarchical vector finite elements

DOI10.1002/JNM.741zbMath1193.78025OpenAlexW4248864211MaRDI QIDQ3565070

Neelakantam V. Venkatarayalu

Publication date: 27 May 2010

Published in: International Journal of Numerical Modelling: Electronic Networks, Devices and Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/jnm.741

zbMATH Keywords

finite element methodsconstraint equationsspurious modeshierarchical basis functionsMaxwell eigenvalue problem

Mathematics Subject Classification ID

Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Spectral, collocation and related methods applied to problems in optics and electromagnetic theory (78M22)

Uses Software

• JDQR
• ARPACK
• JDQZ

Cites Work

• Solution of Maxwell equation in axisymmetric geometry by Fourier series decomposition and by use of \(H\)(rot) conforming finite element
• Computation of resonant modes for axisymmetric Maxwell cavities usinghp-version edge finite elements
• High degree efficient symmetrical Gaussian quadrature rules for the triangle
• ARPACK Users' Guide
• Hierarchal vector basis functions of arbitrary order for triangular and tetrahedral finite elements
• On the Convergence of Galerkin Finite Element Approximations of Electromagnetic Eigenproblems
• A note on the de Rham complex and a discrete compactness property

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