Numerical dispersion of a vector finite element method on skewed hexahedral grids

被引：0
|
作者：
White, DA [1 ]
机构：
[1] Lawrence Livermore Natl Lab, Ctr Appl Sci Comp, Livermore, CA 94551 USA
来源：
COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING | 2000年 / 16卷 / 01期
关键词：
finite element; dispersion; electromagnetics; Maxwell's equations;
D O I：
10.1002/(SICI)1099-0887(200001)16:1<47::AID-CNM314>3.0.CO;2-8
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The numerical dispersion relation is an important measure of the discretization error inherent in grid-based numerical methods for solving Maxwell's equations. In this paper we calculate the numerical dispersion of a vector finite element method for the case of a distorted three-dimensional hexahedral grid. The main result is that the numerical dispersion relation remains second-order accurate as the grid is distorted, although the dispersion becomes quite anisotropic. Published in 2000 by John Wiley & Sons, Ltd.
引用
收藏
页码：47 / 55
页数：9
相关论文
共 50 条
  • [1] A COMPOSITE MIXED FINITE ELEMENT FOR HEXAHEDRAL GRIDS
    Sboui, Amel
    Jaffre, Jerome
    Roberts, Jean
    [J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2009, 31 (04): : 2623 - 2645
  • [2] A vector finite element time-domain method for solving Maxwell's equations on unstructured hexahedral grids
    Rodrigue, G
    White, D
    [J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2001, 23 (03): : 683 - 706
  • [3] AN INVESTIGATION OF NUMERICAL DISPERSION IN THE VECTOR FINITE-ELEMENT METHOD USING QUADRILATERAL ELEMENTS
    WARREN, GS
    SCOTT, WR
    [J]. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1994, 42 (11) : 1502 - 1508
  • [4] Efficient solver for mixed finite element method and control-volume mixed finite element method in 3-D on Hexahedral grids
    Wilson, JD
    Naff, RL
    Russell, TF
    [J]. COMPUTATIONAL METHODS IN WATER RESOURCES, VOLS 1 AND 2, PROCEEDINGS, 2002, 47 : 429 - 436
  • [5] A NEW MIXED FINITE ELEMENT AND ITS RELATED FINITE VOLUME DISCRETIZATION ON GENERAL HEXAHEDRAL GRIDS
    Matringe, Sebastien F.
    Juanes, Ruben
    Tchelepi, Hamdi A.
    [J]. IMECE 2008: MECHANICS OF SOLIDS, STRUCTURES AND FLUIDS, VOL 12, 2009, : 77 - 87
  • [6] An enhanced velocity multipoint flux mixed finite element method for Darcy flow on non-matching hexahedral grids
    Ganis, Benjamin
    Wheeler, Mary F.
    Yotov, Ivan
    [J]. INTERNATIONAL CONFERENCE ON COMPUTATIONAL SCIENCE, ICCS 2015 COMPUTATIONAL SCIENCE AT THE GATES OF NATURE, 2015, 51 : 1198 - 1207
  • [7] Evaluation of Hexahedral Mesh Quality for Finite Element Method in Electromagnetics
    Motooka, Y.
    Noguchi, S.
    Igarashi, H.
    [J]. APPLIED ELECTROMAGNETIC ENGINEERING FOR MAGNETIC, SUPERCONDUCTING AND NANOMATERIALS, 2011, 670 : 318 - 324
  • [8] Finite element time domain method using hexahedral elements
    Yamada, T
    Tani, K
    [J]. IEEE TRANSACTIONS ON MAGNETICS, 1997, 33 (02) : 1476 - 1479
  • [9] Finite-element EM modelling on hexahedral grids with an FD solver as a pre-conditioner
    Yavich, Nikolay
    Zhdanov, Michael S.
    [J]. GEOPHYSICAL JOURNAL INTERNATIONAL, 2020, 223 (02) : 840 - 850
  • [10] A mixed finite element method for nearly incompressible elasticity and Stokes equations using primal and dual meshes with quadrilateral and hexahedral grids
    Lamichhane, Bishnu P.
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2014, 260 : 356 - 363
12345