An Improved Newton Method Based on Choosing Initial Guess Applied to Scalar Formulation in Nonlinear Magnetostatics

被引：4
|
作者：
Cherif, Riheb [1 ]
Tang, Zuqi [1 ]
Guyomarch, Frederic [1 ]
Chevalier, Lok [1 ]
Le Menach, Yvonnick [1 ]
机构：
[1] Univ Lille, Arts & Metiers Paris Tech, Cent Lille, HEI,EA 2697 L2EP, F-59000 Lille, France
来源：
IEEE TRANSACTIONS ON MAGNETICS | 2019年 / 55卷 / 06期
关键词：
Finite element (FE) method; initial guess; Newton methods; nonlinear magnetostatic problems; RAPHSON METHOD; CONVERGENCE;
D O I：
10.1109/TMAG.2019.2898416
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 improved starting point Newton method applied to 3-D scalar formulation in magnetostatics is proposed in this paper. Compared with the classical Newton method, the inexact-Newton and quasi-Newton methods are reported by testing on a benchmark problem as well as an industrial example. Remarkable convergence acceleration using the proposed strategy is observed, and thus, it significantly reduces the computational time.
引用
收藏
页数：4
相关论文
共 50 条
  • [21] A nonlinear preconditioned quasi-Newton method without inversion of a first-guess covariance matrix in variational analyses
    Fujii, Y
    Kamachi, M
    TELLUS SERIES A-DYNAMIC METEOROLOGY AND OCEANOGRAPHY, 2003, 55 (05) : 450 - 454
  • [22] Choosing Improved Initial Values for Polynomial Zerofinding in Extended Newbery Method to Obtain Convergence
    Saidanlu, Saeid
    Aris, Nor'aini
    Rahman, Ali Abd
    JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [23] CHOOSING THE RELAXATION PARAMETER FOR THE SOLUTION OF NONLINEAR MAGNETIC-FIELD PROBLEMS BY THE NEWTON-RAPHSON METHOD
    ODWYER, J
    ODONNELL, T
    IEEE TRANSACTIONS ON MAGNETICS, 1995, 31 (03) : 1484 - 1487
  • [24] Energy-Based Initial Guess Estimation Method for One-Step Simulation
    Zhang, Xiangkui
    Hu, Sibo
    Lang, Zhikui
    Guo, Wei
    Hu, Ping
    INTERNATIONAL JOURNAL FOR COMPUTATIONAL METHODS IN ENGINEERING SCIENCE & MECHANICS, 2007, 8 (06): : 411 - 417
  • [25] The Carleman-Newton method to globally reconstruct the initial condition for nonlinear parabolic equations
    Abhishek, Anuj
    Le, Thuy T.
    Nguyen, Loc H.
    Khan, Taufiquar
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2024, 445
  • [26] Multigrid Method for Nonlinear Eigenvalue Problems Based on Newton Iteration
    Xu, Fei
    Xie, Manting
    Yue, Meiling
    JOURNAL OF SCIENTIFIC COMPUTING, 2023, 94 (02)
  • [27] Multigrid Method for Nonlinear Eigenvalue Problems Based on Newton Iteration
    Fei Xu
    Manting Xie
    Meiling Yue
    Journal of Scientific Computing, 2023, 94
  • [28] Solving Nonlinear Problems with Singular Initial Conditions Using A Perturbed Scalar Homotopy Method
    Ku, Cheng-Yu
    Tsai, Yung-Hsien
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2013, 14 (06) : 367 - 375
  • [29] An improved bisection Newton-like method for enclosing simple zeros of nonlinear equations
    Nisha S.
    Parida P.K.
    SeMA Journal, 2015, 72 (1) : 83 - 92
  • [30] Constrained optimal control problems of nonlinear systems based on improved Newton algorithms
    Wu, Xiang
    Zhang, Kanjian
    IEEE ICCSS 2016 - 2016 3RD INTERNATIONAL CONFERENCE ON INFORMATIVE AND CYBERNETICS FOR COMPUTATIONAL SOCIAL SYSTEMS (ICCSS), 2016, : 229 - 234
12345