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

被引:2
作者
Ozgun, Ozlem [1 ]
Kuzuoglu, Mustafa [2 ]
Mittra, Raj [3 ,4 ]
机构
[1] Hacettepe Univ, Dept Elect & Elect Engn, TR-06800 Ankara, Turkiye
[2] Middle East Tech Univ, Dept Elect & Elect Engn, TR-06531 Ankara, Turkiye
[3] Univ Cent Florida, Dept Elect & Comp Engn, Orlando, FL 32816 USA
[4] KAU, Dept Elect & Comp Engn, Jeddah 21589, Saudi Arabia
关键词
Finite element analysis; Jacobian matrices; Three-dimensional displays; Electromagnetic scattering; Shape; Standards; Perfectly matched layers; Computational electromagnetics (CEM); coordinate stretching; edge basis functions; electromagnetic radiation and scattering; finite element method (FEM); locally conformal perfectly matched layer (LCPML); vector wave equation; PERFECTLY MATCHED LAYER; ABSORBERS;
D O I
10.1109/TAP.2023.3333929
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
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.
引用
收藏
页码:2036 / 2040
页数:5
相关论文
共 24 条
[1]  
[Anonymous], Nose Cone Design
[2]   A PERFECTLY MATCHED LAYER FOR THE ABSORPTION OF ELECTROMAGNETIC-WAVES [J].
BERENGER, JP .
JOURNAL OF COMPUTATIONAL PHYSICS, 1994, 114 (02) :185-200
[3]   An automatic perfectly matched layer for acoustic finite element simulations in convex domains of general shape [J].
Beriot, Hadrien ;
Modave, Axel .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2021, 122 (05) :1239-1261
[4]   An optimal perfectly matched layer with unbounded absorbing function for time-harmonic acoustic scattering problems [J].
Bermudez, A. ;
Hervella-Nieto, L. ;
Prieto, A. ;
Rodriguez, R. .
JOURNAL OF COMPUTATIONAL PHYSICS, 2007, 223 (02) :469-488
[5]   A 3D PERFECTLY MATCHED MEDIUM FROM MODIFIED MAXWELLS EQUATIONS WITH STRETCHED COORDINATES [J].
CHEW, WC ;
WEEDON, WH .
MICROWAVE AND OPTICAL TECHNOLOGY LETTERS, 1994, 7 (13) :599-604
[6]   Conformal perfectly matched layer for the mixed finite element time-domain method [J].
Donderici, Burkay ;
Teixeira, Fernando L. .
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2008, 56 (04) :1017-1026
[7]   An anisotropic perfectly matched layer-absorbing medium for the truncation of FDTD lattices [J].
Gedney, SD .
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1996, 44 (12) :1630-1639
[8]  
Harrington R. F., 1961, Time-Harmonic Electromagnetic Fields.
[9]   Perfectly matched layers as nonlinear coordinate transforms: a generalized formalization [J].
Hugonin, JP ;
Lalanne, P .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2005, 22 (09) :1844-1849
[10]   Investigation of nonplanar perfectly matched absorbers for finite-element mesh truncation [J].
Kuzuoglu, M ;
Mittra, R .
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1997, 45 (03) :474-486