对流-扩散型问题Bubble-稳定有限元分析  

Bubble Stabilization Finite Element Methods for Advective-Diffusive Models

作　　者：段火元[1] 

机构地区：[1]中国科学院计算数学与科学工程计算研究所

出　　处：《应用数学与计算数学学报》1998年第1期1-10,共10页Communication on Applied Mathematics and Computation

基　　金：国家自然科学基金资助项目

摘　　要：本文针对形如σu+α·u-kΔu=f对流—扩散型的模型问题,发展耦合局部bubble-函数的有限元方法,我们就α=0和σ=0两种情形证明了方法的与“影响因素”σ和pedlet-数无关稳定性及全局最佳收敛阶。This paper is devoted to the development of stabilized finite element methods by empolying local bubble functions for adveetive-diffusive models which has the form σu+a·(?)u-k△u =f. We show this methodology is stable independent of σ or Peclet-number and its globle optimal convergence order,from the problem with a=0 or σ=0.

关 键 词：对流-扩散问题 稳定化有限元 局部bubble函数 

分 类 号：O241.82[理学—计算数学]