Self-Tuning Locally Conformal PML Mesh Truncation for 3-D Vector Finite Element Method

This communication presents a novel formulation of the locally conformal perfectly matched layer (LCPML) method, called LCPML-log, which uses a logarithmic decay function. The method is designed to solve electromagnetic radiation and scattering problems using the 3-D vector finite element method (FE...

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Bibliographic Details
Published inIEEE transactions on antennas and propagation Vol. 72; no. 2; pp. 2036 - 2040
Main Authors Ozgun, Ozlem, Kuzuoglu, Mustafa, Mittra, Raj
Format Journal Article
LanguageEnglish
Published New York The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 01.02.2024
Subjects
Basis functions
Electromagnetic radiation
Finite element method
Perfectly matched layers
Scattering
Self tuning
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Summary:This communication presents a novel formulation of the locally conformal perfectly matched layer (LCPML) method, called LCPML-log, which uses a logarithmic decay function. The method is designed to solve electromagnetic radiation and scattering problems using the 3-D vector finite element method (FEM). LCPML-log has two distinct features that distinguish it from previous PML implementations. First, it does not require any parameter adjustments to optimize its performance, making it self-tuning. Second, it needs only a single layer, which makes it cost-effective as it reduces the number of unknowns within the PML layer. The proposed method is formulated for the vector FEM based on edge basis functions for 3-D scattering problems, and its effectiveness is demonstrated through numerical results.
ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2023.3333929