A NEW MIXED FINITE-ELEMENT FOR THE STOKES AND ELASTICITY PROBLEMS

被引：48
作者：
FARHLOUL, M [1 ]
FORTIN, M [1 ]
机构：
[1] UNIV LAVAL,DEPT MATH & STAT,QUEBEC CITY G1K 7P4,QUEBEC,CANADA
来源：
SIAM JOURNAL ON NUMERICAL ANALYSIS | 1993年 / 30卷 / 04期
关键词：
MIXED FINITE ELEMENTS; FINITE VOLUMES; STOKES FLOW; ELASTICITY;
D O I：
10.1137/0730051
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Stokes problem is approximated by a mixed finite element method using a new finite element, which has properties analogous to the finite volume methods, namely, the local conservation of the momentum and the mass. Estimates of optimal order are derived for the errors in the velocity, the pressure, and the gradient of the velocity. This new finite element also works for the elasticity problem, and all estimates are valid uniformly with respect to the compressibility. Finally, some numerical results for the incompressible Navier-Stokes equations are presented.
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页码：971 / 990
页数：20
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