Preconditioned Electric Field Integral Equation Using Calderon Identities and Dual Loop/Star Basis Functions

被引:73
|
作者
Stephanson, Matthew B. [1 ]
Lee, Jin-Fa [1 ]
机构
[1] Ohio State Univ, Dept Elect & Comp Engn, Columbus, OH 43210 USA
关键词
Duality; electric field integral equation (EFIE); preconditioning; ELECTROMAGNETIC SCATTERING; FORMULATION; FREQUENCY; COMPLEX; EFIE;
D O I
10.1109/TAP.2009.2016173
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
An analytic preconditioner for the electric field integral equation, based on the Calderon identities, is considered. It is shown, based on physical reasoning, that RWG elements are not suitable for discretizing the electric field integral operator appearing in the preconditioner. Instead, the geometrically dual basis functions proposed by Buffa and Christiansen are used. However, it is found that this preconditioner is vulnerable to roundoff errors at low frequencies. A loop/star decomposition of the Buffa-Christiansen basis functions is presented, along with numerical results demonstrating its effectiveness.
引用
收藏
页码:1274 / 1279
页数:6
相关论文
共 50 条
  • [21] A Calderon-preconditioned single source combined field integral equation for analysis of bi-isotropic object
    Shi, Yan
    Tian, Cheng-Yi
    Liang, Chang-Hong
    [J]. INTERNATIONAL JOURNAL OF NUMERICAL MODELLING-ELECTRONIC NETWORKS DEVICES AND FIELDS, 2015, 28 (05) : 582 - 592
  • [22] CERTIFIED REDUCED BASIS METHOD FOR THE ELECTRIC FIELD INTEGRAL EQUATION
    Hesthaven, J. S.
    Stamm, B.
    Zhang, S.
    [J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2012, 34 (03): : A1777 - A1799
  • [23] Calderon Strategies for the Convolution Quadrature Time-Domain Electric Field Integral Equation
    Cordel, Pierrick
    Dely, Alexandre
    Merlini, Adrien
    Andriulli, Francesco P.
    [J]. IEEE OPEN JOURNAL OF ANTENNAS AND PROPAGATION, 2024, 5 (02): : 379 - 388
  • [24] A Refinement-Free Calderon Preconditioner for the Electric Field Integral Equation on Geometries with Junctions
    Adrian, Simon B.
    Andriulli, Francesco P.
    Eibert, Thomas F.
    [J]. 2018 IEEE ANTENNAS AND PROPAGATION SOCIETY INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION & USNC/URSI NATIONAL RADIO SCIENCE MEETING, 2018, : 2451 - 2452
  • [25] A Calderon Preconditioner for the Electric Field Integral Equation With Layered Medium Green's Function
    Chen, Yongpin P.
    Sun, Sheng
    Jiang, Lijun
    Chew, Weng Cho
    [J]. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2014, 62 (04) : 2022 - 2030
  • [26] Novel Self-loop basis functions for the stability of the Linear-linear discretization of the Electric Field Integral Equation at very low frequencies
    Tamayo, Jose M.
    Ubeda, Eduard
    Rius, Juan M.
    [J]. 2009 IEEE ANTENNAS AND PROPAGATION SOCIETY INTERNATIONAL SYMPOSIUM AND USNC/URSI NATIONAL RADIO SCIENCE MEETING, VOLS 1-6, 2009, : 2619 - 2622
  • [27] Volume integral equation using solenoidal basis functions
    Fan, Z. H.
    Bao, Jian
    Yung, Edward K. N.
    Chen, R. S.
    [J]. 2006 7TH INTERNATIONAL SYMPOSIUM ON ANTENNAS, PROPAGATION AND EM THEORY, VOLS 1 AND 2, PROCEEDINGS, 2006, : 1061 - 1064
  • [28] Loop-Star Decomposition for any Order Basis Functions with processing of Weak and Nearly Singularities for the Surface Integral Equation
    Gil, Jose Ma
    Gomez, Rafael
    Gonzalez, Miguel A.
    Garcia, Jesus
    [J]. 2016 10TH EUROPEAN CONFERENCE ON ANTENNAS AND PROPAGATION (EUCAP), 2016,
  • [29] Stable Discretization of the Electric-Magnetic Field Integral Equation With the Taylor-Orthogonal Basis Functions
    Ubeda, Eduard
    Tamayo, J. M.
    Rius, J. M.
    Heldring, A.
    [J]. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2013, 61 (03) : 1484 - 1490
  • [30] Transient electromagnetic scattering from dielectric objects using the electric field integral equation with Laguerre polynomials as temporal basis functions
    Jung, BH
    Sarkar, TK
    Chung, YS
    Salazar-Palma, M
    Ji, Z
    Jang, S
    Kim, K
    [J]. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2004, 52 (09) : 2329 - 2340