航空学报 > 2002, Vol. 23 Issue (5): 416-420

科学计算中的高性能有限元算法

林群   

  1. 北京航空航天大学理学院 北京 100083
  • 收稿日期:2002-01-17 修回日期:2002-07-31 出版日期:2002-10-25 发布日期:2002-10-25

HIGH PERFORMANCE FINITE ELEMENT METHODS IN SCIENTIFIC COMPUTING

LIN Qun   

  1. School of Mathematics and Physics, Beijing University of Aeronautics and Astronautics, Beijing 100083,China
  • Received:2002-01-17 Revised:2002-07-31 Online:2002-10-25 Published:2002-10-25

摘要: 圆周率的计算是科学计算的启示,它提供了许多信息,包括计算误差的正负、大小,以及算法的加速。在偏微分方程的计算中,有无相似的内容,这就是本文试要回答的问题。

关键词: 有限元, 上下逼近, 外推

Abstract: The calculation of π is a hint of scientific computation. It proposes a lot of information, including the positive or negative, large or small of the computational error, and some acceleration algorithms. Does the computation of partial differential equations have the similar content? This is what the author tried to answer in the paper.

Key words: finite elements, lower and upper approximations, extrapolations