Domain Decomposition Method Modified by Characteristic Finite Element Procedure for System of Parabolic Equations with Discontinuous Coefficients

被引:0
作者
Luo Chang Department of Mathematics
机构
关键词
Discontinuous coefficient; system of parabolic equations; domain decomposition; characteristic finite element;
D O I
暂无
中图分类号
O241 [数值分析];
学科分类号
070102 ;
摘要
In this work, system of parabolic equations with discontinuous coefficients is studied. The domain decomposition method modified by a characteristic finite element procedure is applied. A function is defined to approximate the fluxes on inner boundaries by using the solution at the previous level. Thus the parallelism is achieved. Convergence analysis and error estimate are also presented.
引用
收藏
页码:336 / 347
页数:12
相关论文
共 50 条
  • [31] An alternating explicit-implicit domain decomposition method for the parallel solution of parabolic equations
    Zhuang, Yu
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 206 (01) : 549 - 566
  • [32] A parallel subgrid stabilized finite element method based on fully overlapping domain decomposition for the Navier-Stokes equations
    Shang, Yueqiang
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 403 (02) : 667 - 679
  • [33] A SPACE-TIME MULTISCALE MORTAR MIXED FINITE ELEMENT METHOD FOR PARABOLIC EQUATIONS
    Jayadharan, Manu
    Kern, Michel
    Vohrali, Martin
    Yotov, Ivan
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 2023, 61 (02) : 675 - 706
  • [34] Domain decomposition preconditioning in the hierarchical p-version of the finite element method
    Korneev, VG
    Jensen, S
    APPLIED NUMERICAL MATHEMATICS, 1999, 29 (04) : 479 - 518
  • [35] The mass-conserving domain decomposition method for convection diffusion equations with variable coefficients
    Dong, Ruiqi
    Zhou, Zhongguo
    Chen, Xiangdong
    Tang, Huiguo
    Zhang, Qi
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (05) : 3014 - 3038
  • [36] Domain decomposition with characteristic finite difference method for two-phase displacement problems
    Li, Changfeng
    Yuan, Yirang
    APPLIED NUMERICAL MATHEMATICS, 2008, 58 (09) : 1262 - 1273
  • [37] Research on the Adaptive Domain Decomposition Finite Element Method for Electromagnetic Field Analysis
    Zhang Y.
    Yang X.
    Shao D.
    Zhang C.
    Wang Q.
    Fu W.
    Gaodianya Jishu/High Voltage Engineering, 2022, 48 (07): : 2754 - 2761
  • [38] An Explicit Time Domain Finite Element Boundary Integral Method with Element Level Domain Decomposition for Electromagnetic Scattering Analysis
    Dong, Ming
    Li, Ping
    Bagci, Hakan
    2020 14TH EUROPEAN CONFERENCE ON ANTENNAS AND PROPAGATION (EUCAP 2020), 2020,
  • [39] A characteristic stabilized finite element method for the non-stationary Navier–Stokes equations
    Hongen Jia
    Demin Liu
    Kaitai Li
    Computing, 2011, 93 : 65 - 87
  • [40] A modified upwind difference domain decomposition method for convection-diffusion equations
    Li, Changfeng
    Yuan, Yirang
    APPLIED NUMERICAL MATHEMATICS, 2009, 59 (07) : 1584 - 1598