Journal of Jishou University(Natural Sciences Edition) ›› 2022, Vol. 43 ›› Issue (1): 26-30.DOI: 10.13438/j.cnki.jdzk.2022.01.005

• Mathematics • Previous Articles     Next Articles

CEFE and NBE Coupling Method for Solving Boundary Value Problems of Poisson Equation in Concave Corner Region

ZHU Shuangbiao   

  1. (School of Applied Mathematics,Nanjing University of Finance & Economics,Nanjing 210023,China)
  • Online:2022-01-25 Published:2022-05-16

Abstract: Based on the principle of natural boundary reduction,the coupling method of curved edge finite element and natural boundary element is given.The coupling method is used to solve the boundary value problem of Poisson equation in concave region,and the error estimation and convergence of the approximate solution of the coupling method are obtained.Numerical examples verify the superiority of the coupling method.

Key words: Poisson equation, curved edge finite element, natural boundary element, coupling method, concave area, convergence, error estimation

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