A note on mass lumping in the finite element time domain method

被引:15
|
作者
Lee, R [1 ]
机构
[1] Ohio State Univ, Dept Elect & Comp Engn, ElectroSci Lab, Columbus, OH 43212 USA
关键词
finite element methods; finite-difference time-domain (FDTD) methods;
D O I
10.1109/TAP.2005.863159
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
Mass lumping has been used to produce explicit time integration schemes for the finite element time domain method. In this paper, we show that a specific choice in the lumping procedure can produce a scheme that is equivalent to the finite difference time domain method. If lumping is done in the time integration process, one can show that it can be equivalent to the Newmark-beta method.
引用
收藏
页码:760 / 762
页数:3
相关论文
共 50 条
  • [1] A general mass lumping scheme for the variants of the extended finite element method
    Asareh, Iman
    Song, Jeong-Hoon
    Mullen, Robert L.
    Qian, Yu
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2020, 121 (10) : 2262 - 2284
  • [2] On mass lumping and explicit dynamics in the scaled boundary finite element method
    Gravenkamp, Hauke
    Song, Chongmin
    Zhang, Junqi
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2020, 370
  • [3] A new mass lumping scheme for the mixed hybrid finite element method
    Younes, Anis
    Ackerer, Philippe
    Lehmann, Francois
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2006, 67 (01) : 89 - 107
  • [4] Mass lumping techniques combined with 3D Time-domain Finite-element Method for the vector wave equation
    Ye, Z. B.
    Du, L.
    Fan, Z. H.
    Chen, R. S.
    2008 INTERNATIONAL CONFERENCE ON MICROWAVE AND MILLIMETER WAVE TECHNOLOGY PROCEEDINGS, VOLS 1-4, 2008, : 1307 - 1310
  • [5] The Mixed Finite-Element Method With Mass Lumping for Computing Optical Waveguide Modes
    Liu, Na
    Cai, Guoxiong
    Zhu, Chunhui
    Huang, Yueqin
    Liu, Qing Huo
    IEEE JOURNAL OF SELECTED TOPICS IN QUANTUM ELECTRONICS, 2016, 22 (02) : 187 - 195
  • [6] A SECOND-ORDER FINITE ELEMENT METHOD WITH MASS LUMPING FOR MAXWELL'S EQUATIONS ON TETRAHEDRA
    Egger, Herbert
    Radu, Bogdan
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 59 (02) : 864 - 885
  • [7] Construction and analysis of a new mixed finite element allowing mass lumping
    Becache, E
    Joly, P
    Tsogka, C
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1997, 324 (11): : 1281 - 1286
  • [8] SELECTIVE LUMPING FINITE-ELEMENT METHOD FOR NEARSHORE CURRENT
    KAWAHARA, M
    KASHIYAMA, K
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 1984, 4 (01) : 71 - 97
  • [9] Time Domain Finite Element Method for Maxwell's Equations
    Anees, Asad
    Angermann, Lutz
    IEEE ACCESS, 2019, 7 : 63852 - 63867
  • [10] Finite element time domain method using Laguerre polynomials
    Chung, YS
    Sarkar, TK
    Llorento-Romano, S
    Salarzar-Palma, M
    2003 IEEE MTT-S INTERNATIONAL MICROWAVE SYMPOSIUM DIGEST, VOLS 1-3, 2003, : 981 - 984