Plane wave ℋ (curl; Ω) conforming finite elements for Maxwell's equations

被引:0
|
作者
P. D. Ledger
K. Morgan
O. Hassan
N. P. Weatherill
机构
[1] Civil and Computational Engineering Research Centre,
[2] School of Engineering,undefined
[3] University of Wales Swansea,undefined
[4] Singleton Park,undefined
[5] Swansea,undefined
[6] Wales SA2 8PP e-mail: p.d.ledger@swansea.ac.uk,undefined
来源
Computational Mechanics | 2003年 / 31卷
关键词
Keywords Electromagnetics, Wave propagation scattering, Edge elements, Plane wave expansions;
D O I
暂无
中图分类号
学科分类号
摘要
 This paper proposes a discretisation of Maxwell's equations which combines the popular edge elements of Nédélec with expansions of plane waves. The method is applied to simple two dimensional electromagnetic wave propagation and scattering simulations and issues of accuracy and matrix conditioning are investigated.
引用
收藏
页码:272 / 283
页数:11
相关论文
共 50 条
  • [21] MINIMAL DEGREE H(curl) AND H(div) CONFORMING FINITE ELEMENTS ON POLYTOPAL MESHES
    Chen, Wenbin
    Wang, Yanqiu
    MATHEMATICS OF COMPUTATION, 2017, 86 (307) : 2053 - 2087
  • [22] A sweeping preconditioner for time-harmonic Maxwell's equations with finite elements
    Tsuji, Paul
    Engquist, Bjorn
    Ying, Lexing
    JOURNAL OF COMPUTATIONAL PHYSICS, 2012, 231 (09) : 3770 - 3783
  • [23] Virtual elements for Maxwell's equations
    da Veiga, L. Beirao
    Dassi, F.
    Manzini, G.
    Mascotto, L.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2022, 116 : 82 - 99
  • [24] Cylindrical and spherical space equivalents to the plane wave expansion technique of Maxwell's wave equations
    Gauthier, Robert C.
    Alzahrani, Mohammed A.
    Jafari, Seyed Hamed
    PHOTONIC AND PHONONIC PROPERTIES OF ENGINEERED NANOSTRUCTURES V, 2015, 9371
  • [25] On a general implementation of h- and p-adaptive curl-conforming finite elements
    Olm, Marc
    Badia, Santiago
    Martin, Alberto F.
    ADVANCES IN ENGINEERING SOFTWARE, 2019, 132 : 74 - 91
  • [26] On the Design of Higher-Order Curl-Conforming Finite Elements and its Assembly Features
    Amor-Martin, Adrian
    Garcia-Donoro, Daniel
    Garcia-Castillo, Luis E.
    2017 IEEE MTT-S INTERNATIONAL CONFERENCE ON NUMERICAL ELECTROMAGNETIC AND MULTIPHYSICS MODELING AND OPTIMIZATION FOR RF, MICROWAVE, AND TERAHERTZ APPLICATIONS (NEMO), 2017, : 200 - 202
  • [27] Application of nonstandard finite differences to solve the wave equation and Maxwell's equations
    Cole, JB
    APPLICATIONS OF NONSTANDARD FINITE DIFFERENCE SCHEMES, 2000, : 109 - 153
  • [28] A wave automaton for Maxwell's equations
    Vanneste, C
    EUROPEAN PHYSICAL JOURNAL B, 2001, 23 (03): : 391 - 404
  • [29] A wave automaton for Maxwell's equations
    C. Vanneste
    The European Physical Journal B - Condensed Matter and Complex Systems, 2001, 23 : 391 - 404
  • [30] THE CARLEMAN FORMULA FOR THE MAXWELL'S EQUATIONS ON A PLANE
    Arbuzov, E., V
    Bukhgeim, A. L.
    SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2008, 5 : 448 - 455