期刊文献+

二维稳态线性对流扩散方程的Galerkin有限元方法

The Galerkin Finite Element Method for Two-dimensional Stable-state Linear Convection-diffusion Equation
下载PDF
导出
摘要 利用Galerkin有限元方法求解了二维稳态线性对流扩散方程边值问题,采用伴随算子理论进行了相应的误差分析,数值模拟表明该方法的可行性和有效性。 In this paper,two-dimensional stable-state linear convection-diffusion equation with boundary conditions is resolved by using the Galerkin finite element method.The adjoint operator theory is used to solve error estimation.Numerical results show that the method is effective and feasible.
作者 牟行洋 闵涛
出处 《科技通报》 北大核心 2011年第6期823-829,共7页 Bulletin of Science and Technology
关键词 对流扩散方程 稳态 有限元 误差 伴随算子 convection-diffusion equation stable-state finite element error adjoint operator
  • 相关文献

参考文献7

  • 1CASTRO C, MICU S. Boundary controllability of a linear semi-discrete 1-D wave equation derived from a mixed finite element method[J]. Numer. Math. 2006,102:413-462.
  • 2CHAUDHURI P R, ROY S. Analysis of arbitrary index profile planar optical waveguides and multilayer nonlinear structures:a simple finite difference algorithm[J ]. Opt Quant Electron, 2007,39 :221-237.
  • 3X D Li and N E Wiberg.Superconvergent patch recovery of finite element solution and a posteriori error norm estimates [J]. Comm. Numer. Method Eng. 1994,10:313-320.
  • 4胡健伟 汤怀民.微分方程数值解法[M].北京:科学出版社,1999..
  • 5P.Chatzipantelidis and R D Lazarov.Error estimates for the finite volume element method for elliptic pdes in nonconvex polygonal domains[J]. SIAM J. Numer. Anal. 2005,42:1932-1958.
  • 6Richard E Ewing,Tao Lin,and Yanping Lin. On the accuracy of the finite volume element method based on piecewise linear polynomials [ J ]. SIAM J. Numer. Anal. 2,39 : 1865-1888.
  • 7Tim Wildey. A-posteriori analysis of operator decomposition on interface problems [ D ]. PhD Thesis,Colorado State University, 2007.

共引文献17

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部