A Second-Order Cell Method for Poisson's Equation

被引:3
|
作者
Alotto, Piergiorgio [2 ]
Freschi, Fabio [1 ]
机构
[1] Politecn Torino, Dept Elect Engn, I-10129 Turin, Italy
[2] Univ Padua, Dept Elect Engn, I-35131 Padua, Italy
关键词
Cell method; edge elements; finite integration technique; higher order elements; DISCRETE CONSTITUTIVE-EQUATIONS; EDGE ELEMENTS; FORMULATION; MAGNETOSTATICS; GRIDS; FIELD; 3D;
D O I
10.1109/TMAG.2010.2092419
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
The cell method, similar to the finite integration technique, is a well-established numerical method for the solution of field problems; however, an often raised criticism is that it is limited to constant fields within elements. In this paper, we show that for the case of Poisson's equation, the cell method can be extended to the second-order convergence. Numerical results showing the order of convergence of the method are presented.
引用
收藏
页码:1430 / 1433
页数:4
相关论文
共 50 条
  • [21] The Poisson equation at second order in relativistic cosmology
    Hidalgo, J. C.
    Christopherson, Adam J.
    Malik, Karim A.
    JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 2013, (08):
  • [22] The Cascadic Multigrid Method of the Weak Galerkin Method for Second-Order Elliptic Equation
    Sun, Shi
    Huang, Ziping
    Wang, Cheng
    Guo, Liming
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2017, 2017
  • [23] On a nonlinear second-order difference equation
    Stevo Stević
    Bratislav Iričanin
    Witold Kosmala
    Zdeněk Šmarda
    Journal of Inequalities and Applications, 2022
  • [24] Second-Order Elliptic Equation with Singularities
    Boughazi, Hichem
    INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 2020
  • [25] On the singular second-order elliptic equation
    Azaiz, Seid
    Boughazi, Hichem
    Tahri, Kamel
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 489 (01)
  • [26] On a nonlinear second-order difference equation
    Stevic, Stevo
    Iricanin, Bratislav
    Kosmala, Witold
    Smarda, Zdenek
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2022, 2022 (01)
  • [27] OSCILLATION OF A SECOND-ORDER DELAY EQUATION
    DAHIYA, RS
    SINGH, B
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 21 (05): : A491 - A491
  • [28] OSCILLATION OF A SECOND-ORDER DELAY EQUATION
    DAHIYA, RS
    SINGH, B
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1974, 48 (02) : 610 - 617
  • [29] A locally second order symmetric method for discontinuous solution of Poisson's equation on uniform cartesian grids
    Qin, Zhipeng
    Riaz, Amir
    Balaras, Elias
    COMPUTERS & FLUIDS, 2020, 198 (198)
  • [30] A Robust Second-Order Godunov-Type Method for Burgers’ Equation
    Shahabi A.
    Ghiassi R.
    International Journal of Applied and Computational Mathematics, 2022, 8 (2)