• 论文 •

变系数抛物方程的有限元强校正格式

1. 湖南师范大学数学与计算机科学学院,湖南师范大学数学与计算机科学学院 长沙 410081 ,长沙 410081
• 出版日期:2005-04-14 发布日期:2005-04-14

A ULTRACONVERGENT CORRECTED SCHEME FOR FINITE ELEMENT METHOD OF VARIABLE COEFFICIENTS PARABOLIC EQUATIONS

1. Lai Junjiang Zhu Qiding (College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, China)
• Online:2005-04-14 Published:2005-04-14

In this paper we will considers the finite element method for variable coefficients parabolic equations of one space dimension using projection interpolation and Ritz-Volterra projection. A ultraconvergent corrected scheme for the derivative and displacement is obtained and proved directly. For finite element solution, we can obtain global hk+2 and hk+3 order ultraconvergent results for stress and displacement through correcting, respectively.

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