Effect of preconditioning in edge-based finite-element method

被引：6
|
作者：
Igarashi, Hajime [1 ]
Yamamoto, Nobito [2 ]
机构：
[1] Hokkaido Univ, Sapporo, Hokkaido 0600814, Japan
[2] Univ Electrocommun, Tokyo 1828585, Japan
来源：
IEEE TRANSACTIONS ON MAGNETICS | 2008年 / 44卷 / 06期
关键词：
A-V method; diagonal scaling; edge elements; finite-element method; preconditioning;
D O I：
10.1109/TMAG.2007.916272
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 paper discusses mathematical properties of preconditioned finite-element matrices based on vector potential formulation (A method) and vector and scalar potential formulation (A-V method) for eddy-current problems. Numerical results show that A-V method with preconditioning is stable at all frequencies in contrast to A method. In this paper, this property is mathematically discussed by considering the diagonal scaling which is one of the simple preconditioning methods. In addition, regularization of A method is discussed.
引用
收藏
页码：942 / 945
页数：4
相关论文
共 50 条
  • [21] EDGE-BASED FINITE ELEMENT METHOD ANALYSIS OF THE TRANSMISSION CHARACTERISTICS IN ANTIPODAL FINLINE
    Sun, H.
    Wu, Y.
    Ruan, Z.
    JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS, 2011, 25 (04) : 565 - 575
  • [22] Metal forming analysis using the edge-based smoothed finite element method
    Cui, X. Y.
    Li, G. Y.
    FINITE ELEMENTS IN ANALYSIS AND DESIGN, 2013, 63 : 33 - 41
  • [23] Parallel edge-based implementation of the finite element method for shallow water equations
    Slobodcicov, I
    Ribeiro, FLB
    Coutinho, ALGA
    COASTAL ENGINEERING VI: COMPUTER MODELLING AND EXPERIMENTAL MEASUREMENTS OF SEAS AND COASTAL REGIONS, 2003, 9 : 13 - 22
  • [24] Edge-based smoothed extended finite element method for dynamic fracture analysis
    Wu, L.
    Liu, P.
    Shi, C.
    Zhang, Z.
    Tinh Quoc Bui
    Jiao, D.
    APPLIED MATHEMATICAL MODELLING, 2016, 40 (19-20) : 8564 - 8579
  • [25] Fast multigrid solution method for nested edge-based finite element meshes
    Cingoski, V
    Tokuda, R
    Noguchi, S
    Yamashita, H
    IEEE TRANSACTIONS ON MAGNETICS, 2000, 36 (04) : 1539 - 1542
  • [26] Coupled edge-based smoothing finite element method for structural acoustic problems
    He, Zhicheng
    Li, Guangyao
    Cheng, Aiguo
    Zhong, Zhihua
    Jixie Gongcheng Xuebao/Journal of Mechanical Engineering, 2014, 50 (04): : 113 - 119
  • [27] AN EDGE-BASED SMOOTHED FINITE ELEMENT METHOD FOR ANALYSIS OF LAMINATED COMPOSITE PLATES
    Phan-Dao, H. H.
    Nguyen-Xuan, H.
    Thai-Hoang, C.
    Nguyen-Thoi, T.
    Rabczuk, T.
    INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2013, 10 (01)
  • [28] Analysis of plates and shells using an edge-based smoothed finite element method
    Cui, Xiangyang
    Liu, Gui-Rong
    Li, Guang-yao
    Zhang, GuiYong
    Zheng, Gang
    COMPUTATIONAL MECHANICS, 2010, 45 (2-3) : 141 - 156
  • [29] Polyhedral elements by means of node/edge-based smoothed finite element method
    Lee, Chan
    Kim, Hobeom
    Im, Seyoung
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2017, 110 (11) : 1069 - 1100
  • [30] Edge-based finite element implementation of the residual-based variational multiscale method
    Lins, Erb F.
    Elias, Renato N.
    Guerra, Gabriel M.
    Rochinha, Fernando A.
    Coutinho, Alvaro L. G. A.
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2009, 61 (01) : 1 - 22
12345