F.E.M. implementation for the asymptotic partial decomposition

被引:15
作者
Fontvieille, F.
Panasenko, G. P.
Pousin, J.
机构
[1] Inst C Jordan INSA Lyon, CNRS, UMR 5208, F-69100 Villeurbanne, France
[2] Univ St Etienne, Math Lab, F-42023 St Etienne, France
关键词
asymptotic analysis; numerical analysis; mixed formulation;
D O I
10.1080/00036810601106545
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider a Finite Element Method ( F. E. M.) implementation for the asymptotic partial decomposition. The advantage of this approach is an important reduction of the number of nodes. The convergence is proved for some model problems. Finally the relation with the "mixed formulation'' is discussed.
引用
收藏
页码:519 / 536
页数:18
相关论文
共 8 条
[1]  
Brezis H., 1983, ANAL FONCTIONNELLE
[2]  
BREZIS H, 1991, MIXED HYBRID FINITE
[3]  
CIARLET P. G., 1978, The Finite Element Method for Elliptic Problems
[4]  
FONTVIEILLE F, 2004, DECOMPOSITION AYSMPT
[5]  
GRISVARD P, 1986, B DIRECTION ETUD REC, V1, P21
[6]  
PANASENKO G, 2005, MULTI SCALE MODELLIN
[7]   Method of asymptotic partial decomposition of domain [J].
Panasenko, GP .
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 1998, 8 (01) :139-156
[8]   Domain decomposition with nonmatching grids and mixed formulation in the spaces W-0(1,p)(Omega), W-0(1,q)(Omega) [J].
Pousin, J ;
Sassi, T .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1997, 77 (09) :639-644