期刊文献+

Cubic Finite Volume Methods for Second Order Elliptic Equations with Variable Coefficients

Cubic Finite Volume Methods for Second Order Elliptic Equations with Variable Coefficients
在线阅读 下载PDF
导出
摘要 In this paper, we present a finite volume framework for second order elliptic equations with variable coefficients based on cubic Hermite element. We prove the optimal H1 norm error estimates. A numerical example is given at the end to show the feasibility of the method. In this paper, we present a finite volume framework for second order elliptic equations with variable coefficients based on cubic Hermite element. We prove the optimal H1 norm error estimates. A numerical example is given at the end to show the feasibility of the method.
作者 杨旻
出处 《Northeastern Mathematical Journal》 CSCD 2005年第2期146-152,共7页 东北数学(英文版)
基金 The Major State Basic Research (1999032803) of China, the NNSF (10372052, 10271066)of China and the Doctorate Foundation (20030422047) of the Ministry of Education of China.
关键词 finite volume method cubic Hermite element error estimate finite volume method, cubic Hermite element, error estimate
  • 相关文献

参考文献6

  • 1Li, R. H., Chen, Z. Y. and Wu, W., Generalized Difference Methods for Differential Equations,Marcel Dekker, New York, 2000.
  • 2Chen, Z. Y., The error estimate of generalized difference method of 3rd-order Hermite type for elliotic oartial differential equations, Northeast. Math. J., 8(2)(1992), 127-135.
  • 3Li, R. H. and Zhu, P. Q., Generalized difference methods for 2nd order elliptic partial differential equations (Ⅰ), Numer. Math. J. Chinese Univ., 4(1982), 140-152.
  • 4Tian, M. Z. and Chen, Z. Y., Generalized difference methods for second order elliptic partial differential equations, Numer. Math. J. Chinese Univ., 13(1991), 99-113.
  • 5Cai, Z., On the finite volume element method, Numer. Math., 58(1991), 713-735.
  • 6Brenner, S. C. and Scott, L. R., The Mathematical Theory of Finite Element Methods, Springer Verlag, New York, 1994.

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