摘要
本文针对混合结构抽象问题，基于［9］的非标准稳定化有限元方法的一般框架研究了bubble－函数稳定化方法．该逼近格式使得Babuska－Brezzi条件是不必要的，从而使得格式的稳定性和收敛性与有限元空间对是否匹配无关．获得了与有限维空间插值性质一致的拟最优误差估计．作为应用举例，本文详细分析了定常Stokes问题．
Based on the general framework of unusual stabilized finite element methods developed by [9], this paper is devoted to the study of a stabilization formulation for saddle point problems by employing bubble functions. This formulation is not subject to the Babuska-Brezzi condition,and the stability and the convergence of this methodnology are independent of the choice of the finite dimensional spaces. Quasi-optimal error bounds are obtained, which agree with the interpolation properties of the finite elements used. As an application, the Stokes problem is analyzed.
出处
《应用数学》
CSCD
1998年第2期98-103,共6页
Mathematica Applicata
基金
国家自然科学基金
