摘要
ｐ－ｖｅｒｓｉｏｎ有限元的快速高精度算法曹礼群（湘潭大学）ＴＨＥＦＡＳＴｐ－ＶＥＲＳＩＯＮＦＩＮＩＴＥＥＬＥＭＥＮＴＭＥＴＨＯＤＷＩＴＨＨＩＧＨＡＣＣＵＲＡＣＹ￥ＣａｏＬｉ－ｑｕｎ（ＸｉａｎｇｔａｎＵｎｉｖｅｒｓｉｔｙ）Ａｂｓｔｒａｃｔ：Ｉｎｔｈｉｓ...
In this paper, second--order elliptic boundary value problems are considered, and a type of fast method for p-version finite element (P> 2) is proposed. This method is of the following character: 1. By use of the hierarchical shape functions of pversion finite element, the stiff matrices of elements can be shaped hierarchically. 2.By means of orthogonal process, not only the number of element shape functions can be decreased greatly, but also the convergence and superconvergence of the original p-version finite element can be assured.
出处
《计算数学》
CSCD
北大核心
1994年第4期362-371,共10页
Mathematica Numerica Sinica
基金
湖南省自然科学基金
