An Effective Domain-Decomposition-Based Preconditioner for the FE-BI-MLFMA Method for 3D Scattering Problems

被引:12
作者
Yang, Ming-Lin [1 ]
Gao, Hong-Wei [1 ]
Song, Wei [1 ]
Sheng, Xin-Qing [1 ]
机构
[1] Beijing Inst Technol, Sch Informat & Elect, Ctr Electromagnet Simulat, Beijing 100081, Peoples R China
关键词
Domain decomposition; FE-BI-MLFMA; FETI; preconditioner; scattering; HYBRID FINITE-ELEMENT; ELECTROMAGNETIC SCATTERING; ALGORITHM; EQUATIONS; FORMULATION;
D O I
10.1109/TAP.2014.2300159
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
A domain-decomposition-based preconditioner (DDP) is presented for the hybrid finite element-boundary integral-multilevel fast multipole algorithm (FE-BI-MLFMA). The formulation of FE-BI is first approximated by the finite element method (FEM) with absorbing boundary condition (ABC). Then this approximate FEM-ABC formulation is solved by using the finite element tearing and interconnecting method (FETI). Finally, an inner-outer iterative algorithm with variable convergence threshold is designed for FE-BI-MLFMA. Because of good numerical scalability of FETI and good approximation of FEM-ABC, this DDP-FE-BI-MLFMA performs well even for large lossless objects.
引用
收藏
页码:2263 / 2268
页数:7
相关论文
共 29 条
[1]   A fully asynchronous multifrontal solver using distributed dynamic scheduling [J].
Amestoy, PR ;
Duff, IS ;
L'Excellent, JY ;
Koster, J .
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2001, 23 (01) :15-41
[2]   HYBRID NUMERICAL-METHOD FOR HARMONIC 3-D MAXWELL EQUATIONS - SCATTERING BY A MIXED CONDUCTING AND INHOMOGENEOUS ANISOTROPIC DIELECTRIC MEDIUM [J].
ANGELINI, JJ ;
SOIZE, C ;
SOUDAIS, P .
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1993, 41 (01) :66-76
[3]   SCATTERING FROM COMPLEX 3-DIMENSIONAL GEOMETRIES BY A CURVILINEAR HYBRID FINITE-ELEMENT-INTEGRAL EQUATION APPROACH [J].
ANTILLA, GE ;
ALEXOPOULOS, NG .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1994, 11 (04) :1445-1457
[4]   Multilevel preconditioners constructed from inverse-based ILUs [J].
Bollhöfer, M ;
Saad, Y .
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2006, 27 (05) :1627-1650
[5]   A HYBRID FINITE-ELEMENT METHOD FOR 3-D SCATTERING USING NODAL AND EDGE ELEMENTS [J].
BOYSE, WE ;
SEIDL, AA .
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1994, 42 (10) :1436-1442
[6]  
DESPRES B, 1992, ITERATIVE METHODS IN LINEAR ALGEBRA, P475
[7]   Calculation of unbounded field problems in free space by a 3D FEM/BEM-hybrid approach [J].
Eibert, T ;
Hansen, V .
JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS, 1996, 10 (01) :61-78
[8]   FETI-DPH: A dual-primal domain decomposition method for acoustic scattering [J].
Farhat, C ;
Avery, P ;
Tezaur, R ;
Li, J .
JOURNAL OF COMPUTATIONAL ACOUSTICS, 2005, 13 (03) :499-524
[9]   A METHOD OF FINITE-ELEMENT TEARING AND INTERCONNECTING AND ITS PARALLEL SOLUTION ALGORITHM [J].
FARHAT, C ;
ROUX, FX .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1991, 32 (06) :1205-1227
[10]   Preconditioned Formulation of FE-BI Equations With Domain Decomposition Method for Calculation of Electromagnetic Scattering From Cavities [J].
Hu, Fu-Gang ;
Wang, Chao-Fu .
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2009, 57 (08) :2506-2511