摘要
In this paper, a Galerkin/Petrov-least squares mixed finite element method forthe stationary conduction-convection problems is presented and analyzed. Themethod is consistent ahd stable for any combination of discrete velocity and pres-sure spaces without requiring the Babuska-Brezzi stability condition. The exis-tence, uniqueness and convergence (at optimal rate) of the discrete solution isproved in the case of sufficient viscosity (or small data).
In this paper, a Galerkin/Petrov-least squares mixed finite element method for the stationary conduction-convection problems is presented and analyzed. The method is consistent and stable for any combination of discrete velocity and pressure spaces without requiring the Babuska-Brezzi stability condition. The existence, uniqueness and convergence (at optimal rate) of the discrete solution is proved in the case of sufficient viscosity (or small data).
出处
《计算数学》
CSCD
北大核心
2003年第2期231-244,共14页
Mathematica Numerica Sinica
基金
国家自然科学基金
北京市教委基金
北京市优秀人才专项经费
北京市自然科学基金资助项目.
