湖南师范大学自然科学学报
湖南師範大學自然科學學報
호남사범대학자연과학학보
ACTA SCIENTIARUM NATURALIUM UNIVERSITATIS NORMALIS HUNANENSIS
2007年
2期
1-5
,共5页
陈传淼%谢资清%李郴良%胡宏伶
陳傳淼%謝資清%李郴良%鬍宏伶
진전묘%사자청%리침량%호굉령
有限元%多网格法%外推%超收敛
有限元%多網格法%外推%超收斂
유한원%다망격법%외추%초수렴
finite element%multigarid%extrapolation%superconvergence
提出一种求解大规模有限元方程组的新外推多网格法,即用前两层网格上有限元的新外推值提供第3层细网格上的好初值,然后用几次CC-迭代能得到较准确的有限元解.数值试验表明此方法有很高的效率.
提齣一種求解大規模有限元方程組的新外推多網格法,即用前兩層網格上有限元的新外推值提供第3層細網格上的好初值,然後用幾次CC-迭代能得到較準確的有限元解.數值試驗錶明此方法有很高的效率.
제출일충구해대규모유한원방정조적신외추다망격법,즉용전량층망격상유한원적신외추치제공제3층세망격상적호초치,연후용궤차CC-질대능득도교준학적유한원해.수치시험표명차방법유흔고적효솔.
A new extrapolation multigrid method in solving large scale finite elemen system of equation is proposed, i.e. new extrapolation values of finite element solutions on the first two level grids are used to provide the good initial values on the third level grids and then an exacter finite element solution can be obtained by several CG-iterations. Numerical experiments show that the method is of higher efficiency.
