Regularization on Ill-posed source terms in FEM computation using two magnetic vector potentials

被引:14
|
作者
Kameari, A [1 ]
机构
[1] Sci Solut Int Lab Inc, Tokyo 1530065, Japan
关键词
Eddy currents; finite-element calculations; static magnetic fields; time-dependent magnetic fields;
D O I
10.1109/TMAG.2004.824712
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
In the formulation with two magnetic vector potentials, the inaccuracy of the Biot-Savart integration for the source term causes the divergence of the conjugate gradient method. The ill-posed equations are regularized by subtracting a rotational field from the numerically integrated field. The convergence is drastically improved. Even when the current continuity is not satisfied strictly, we can get reasonable results. Also, the response to a small disturbance can be calculated by the regularization, even, when the modeling of source currents. is fairly rough.
引用
收藏
页码:1310 / 1313
页数:4
相关论文
共 32 条
  • [11] Identification of source term for the ill-posed Rayleigh–Stokes problem by Tikhonov regularization method
    Tran Thanh Binh
    Hemant Kumar Nashine
    Le Dinh Long
    Nguyen Hoang Luc
    Can Nguyen
    Advances in Difference Equations, 2019
  • [12] Regularization of ill-posed problems using (symmetric) Cauchy-like preconditioners
    Kilmer, ME
    ADVANCED SIGNAL PROCESSING ALGORITHMS, ARCHITECTURES, AND IMPLEMENTATIONS VIII, 1998, 3461 : 381 - 392
  • [13] Numerical piecewise-uniform regularization for two-dimensional ill-posed problems
    Leonov, AS
    INVERSE PROBLEMS, 1999, 15 (05) : 1165 - 1176
  • [14] Two-grid iterative methods for bound constrained regularization of ill-posed problems
    College of Mathematics and Computational Science, China University of Petroleum, Dongying 257061, China
    Zhongguo Shiyou Daxue Xuebao (Ziran Kexue Ban), 2007, 3 (167-170): : 167 - 170
  • [15] Identification of source term for the ill-posed Rayleigh-Stokes problem by Tikhonov regularization method
    Tran Thanh Binh
    Nashine, Hemant Kumar
    Le Dinh Long
    Nguyen Hoang Luc
    Can Nguyen
    ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (01)
  • [16] ESTIMATION OF THE REGULARIZATION PARAMETER IN LINEAR DISCRETE ILL-POSED PROBLEMS USING THE PICARD PARAMETER
    Levin, Eitan
    Meltzer, Alexander Y.
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2017, 39 (06): : A2741 - A2762
  • [17] Solving constraint ill-posed problems using Ginzburg-Landau regularization functionals
    Fruehauf, F.
    Grossauer, H.
    JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2008, 16 (01): : 35 - 49
  • [18] Two Regularized Solutions of an Ill-Posed Problem for The Elliptic Equation with Inhomogeneous Source
    Nguyen Huy Tuan
    Tran Thanh Binh
    FILOMAT, 2014, 28 (10) : 2091 - 2110
  • [19] Two-parameter discrepancy principle for combined projection and Tikhonov regularization of ill-posed problems
    Reginska, Teresa
    JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2013, 21 (04): : 561 - 577
  • [20] Regularization of ill-posed problems by using stabilizers in the form of the total variation of a function and its derivatives
    Vasin, Vladimir V.
    JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2016, 24 (02): : 149 - 158