Fast stray field computation on tensor grids

被引：25
|
作者：
Exl, L. [1 ]
Auzinger, W. [2 ]
Bance, S. [1 ]
Gusenbauer, M. [1 ]
Reichel, F. [1 ]
Schrefl, T. [1 ]
机构：
[1] Univ Appl Sci, Dept Technol, A-3100 St Polten, Austria
[2] Vienna Univ Technol, Inst Anal & Sci Comp, A-1040 Vienna, Austria
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 2012年 / 231卷 / 07期
基金：
奥地利科学基金会;
关键词：
Micromagnetics; Stray field; Tensor grids; Low-rank; Canonical format; Tucker tensor; APPROXIMATION; MULTIPOLES; RANK;
D O I：
10.1016/j.jcp.2011.12.030
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
A direct integration algorithm is described to compute the magnetostatic field and energy for given magnetization distributions on not necessarily uniform tensor grids. We use an analytically-based tensor approximation approach for function-related tensors, which reduces calculations to multilinear algebra operations. The algorithm scales with N-4/3 for N computational cells used and with N-2/3 (sublinear) when magnetization is given in canonical tensor format. In the final section we confirm our theoretical results concerning computing times and accuracy by means of numerical examples. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：2840 / 2850
页数：11
相关论文
共 50 条
  • [1] Fast 3-dimensional interactive computation of stray field and losses in asymmetric transformers
    Koppikar, DA
    Kulkarni, SV
    Turowski, J
    IEE PROCEEDINGS-GENERATION TRANSMISSION AND DISTRIBUTION, 2000, 147 (04) : 197 - 201
  • [2] Vector and tensor field topology simplification on irregular grids
    Tricoche, X
    Scheuermann, G
    Hagen, H
    Clauss, S
    DATA VISUALIZATION 2001, 2001, : 107 - +
  • [3] New methods for a fast and easy computation of stray fields created by wound rods
    Chadebec, O
    Rouve, LL
    Coulomb, JL
    IEEE TRANSACTIONS ON MAGNETICS, 2002, 38 (02) : 517 - 520
  • [4] Variable Interlacing for Stray Field Computation in Large Transformers with FEM.
    Braune, R.
    Fichtner, K.
    Roseburg, D.
    Elektrie, 1987, 41 (06): : 212 - 214
  • [5] Fast computation of inertia through affinely extended Euler tensor
    DiCarlo, Antonio
    Paoluzzi, Alberto
    COMPUTER-AIDED DESIGN, 2006, 38 (11) : 1145 - 1153
  • [6] FAST COMPUTATION OF THE FIELD INSIDE SOLENOID
    LUGANSKII, LB
    DIATROPTOV, DB
    ZHURNAL TEKHNICHESKOI FIZIKI, 1992, 62 (09): : 34 - 41
  • [7] Fast computation of a gated dipole field
    Mengov, George
    Georgiev, Kalin
    Pulov, Stefan
    Trifonov, Trifon
    Atanassov, Krassimir
    NEURAL NETWORKS, 2006, 19 (10) : 1636 - 1647
  • [8] Domain decomposition methods on nonmatching grids in electromagnetic field computation
    Hoppe, RHW
    IEEE ANTENNAS AND PROPAGATION SOCIETY SYMPOSIUM, VOLS 1-4 2004, DIGEST, 2004, : 353 - 354
  • [9] Stray field computation by inverted finite elements: a new method in micromagnetic simulations
    Boulmezaoud, Tahar Z.
    Kaliche, Keltoum
    ADVANCES IN COMPUTATIONAL MATHEMATICS, 2024, 50 (03)
  • [10] Randomized algorithms for fast computation of low rank tensor ring model
    Ahmadi-Asl, Salman
    Cichocki, Andrzej
    Huy Phan, Anh
    Asante-Mensah, Maame G.
    Musavian Ghazani, Mirfarid
    Tanaka, Toshihisa
    Oseledets, Ivan
    MACHINE LEARNING-SCIENCE AND TECHNOLOGY, 2021, 2 (01):
12345