A Domain Decomposition Technique for Efficient Iterative Solution of Nonlinear Electromagnetic Problems

被引：1

作者：

Guarnieri, Giacomo ^{[1
]}

Pelosi, Giuseppe ^{[2
]}

Rossi, Lorenzo ^{[2
]}

Selleri, Stefano ^{[2
]}

机构：

[1] Selex Galileo SpA, Dep Antennas, BU Radar Syst, I-50013 Florence, Italy

[2] Univ Florence, Dept Elect & Telecommun, I-50134 Florence, Italy

来源：

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION | 2010年 / 58卷 / 12期

关键词：

Domain decomposition; finite element method; nonlinear media; nonlinear wave propagation; WAVE-GUIDES; SCATTERING; PROPAGATION; CYLINDERS; FILTERS;

D O I：

10.1109/TAP.2010.2078462

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 innovative method for fast analysis of electromagnetic problems comprising nonlinear dielectrics is proposed. The method is based on the combination of finite elements and domain decomposition methods. This latter technique allows for the separation of the problem in multiple subproblems which can be solved separately. By appropriately defining one of such subdomains as containing all the nonlinear dielectrics it is possible to restrict the application of an iterative algorithm for the numerical solution of nonlinear equations only to this latter, smaller, domain. Numerical results showing the accuracy and efficiency of this technique are presented in few 2D cases.

引用

页码：4090 / 4095

页数：7

共 50 条

[31] A RBF Based Iterative Method for Nonlinear Electromagnetic Problems
Zhang, Yong
Yang, Guangyuan
Shao, K. R.
Lavers, L. D.
ICEMS 2008: PROCEEDINGS OF THE 11TH INTERNATIONAL CONFERENCE ON ELECTRICAL MACHINES AND SYSTEMS, VOLS 1- 8, 2008, : 405 - +
[32] An efficient parallel finite-element-based domain decomposition iterative technique with polynomial preconditioning
Liang, Yu
Kanapady, Ramdev
Tamma, Kumar K.
2006 INTERNATIONAL CONFERENCE ON PARALLEL PROCESSING WORKSHOPS, PROCEEDINGS, 2006, : 505 - +
[33] ACCELERATION METHODS FOR THE ITERATIVE SOLUTION OF ELECTROMAGNETIC SCATTERING PROBLEMS
MURPHY, WD
ROKHLIN, V
VASSILIOU, MS
RADIO SCIENCE, 1993, 28 (01) : 1 - 12
[34] ITERATIVE METHOD FOR SOLUTION AND DECOMPOSITION OF LINEAR PROGRAMMING PROBLEMS
RAZUMIKH.BS
AUTOMATION AND REMOTE CONTROL, 1967, (03) : 427 - &
[35] Approximate solution of variational problems by an iterative decomposition method
Taiwo, Omotayo A.
Odetunde, Olutunde S.
MAEJO INTERNATIONAL JOURNAL OF SCIENCE AND TECHNOLOGY, 2009, 3 (03) : 426 - 433
[36] Comments on Robust iterative methods for solution of transport problems with flow: a block two-level preconditioned Schwarz-domain decomposition method for solution of nonlinear viscous flow problems
Yeckel, A
CHEMICAL ENGINEERING SCIENCE, 2003, 58 (14) : 3295 - 3297
[37] Iterative leap-field domain decomposition method: a domain decomposition finite element algorithm for 3D electromagnetic boundary value problems
Ozgun, O.
Kuzuoglu, M.
IET MICROWAVES ANTENNAS & PROPAGATION, 2010, 4 (04) : 543 - 552
[38] Domain decomposition solution of nonlinear two-dimensional parabolic problems by random trees
Acebron, Juan A.
Rodriguez-Rozas, Angel
Spigler, Renato
JOURNAL OF COMPUTATIONAL PHYSICS, 2009, 228 (15) : 5574 - 5591
[39] Domain decomposition techniques for nonlinear elasticity problems
Le Tallec, P
Vidrascu, M
COMPUTATIONAL SCIENCE FOR THE 21ST CENTURY, 1997, : 568 - 585
[40] Efficient Parallel Solution of Nonlinear Parabolic Partial Differential Equations by a Probabilistic Domain Decomposition
Acebron, Juan A.
Rodriguez-Rozas, Angel
Spigler, Renato
JOURNAL OF SCIENTIFIC COMPUTING, 2010, 43 (02) : 135 - 157

← 1 2 3 4 5 →