Applications of the Clifford algebra valued boundary element method to electromagnetic scattering problems

DOI10.1016/j.enganabound.2016.07.007zbMath1403.78022OpenAlexW2517689125MaRDI QIDQ1655175

Jia-Wei Lee, Hong-Ki Hong, Jeng-Tzong Chen, Li-Wei Liu

Publication date: 9 August 2018

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2016.07.007

zbMATH Keywords

electromagnetic scatteringClifford algebraDirac matricesCauchy-type kernels\(k\)-Dirac equationClifford algebra valued boundary integral equation

Mathematics Subject Classification ID

Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Clifford algebras, spinors (15A66) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (1)

Singular boundary method for 3D time-harmonic electromagnetic scattering problems

Cites Work

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• Quaternionic analysis
• Integral representations in quaternionic analysis related to the helmholtz operator
• The Quaternion Calculus
• Iterative Solutions for Electromagnetic Fields at Perfectly Reflective and Transmissive Interfaces Using Clifford Algebra and the Multidimensional Cauchy Integral

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