动边值问题的混合元方法和数值分析  

A MIXED FINITE ELEMENT METHODS FOR MOVING BOUNDARY VALUE PROBLEM AND NUMERICAL ANALYSIS

作　　者：袁益让[1] 

机构地区：[1]山东大学数学研究所,济南250100

出　　处：《应用数学学报》1997年第3期332-344,共13页Acta Mathematicae Applicatae Sinica

基　　金：国家攀登计划项目;国家八五攻关项目

摘　　要：油气运移、聚集史软件的功能是重建盆地发育中油气资源运移、聚集的历史．其数学模型是一组非线性耦合偏微分方程组的动边值问题．本文对二维、有界区域的一般情况，提出一类特征混合元逼近并得到了逼近解的最佳阶L2模误差估计．The software for Oil-Gas transport and accumulation is to describe the history of Oil-Gas transport and accumulation in basin evolution. It is of coupled system of nonlinear partial differential equations with moving boundary value problem. For a generic case of 2dimension and bounded region, we put forward a kind of characteristic mixed finite element approximation, and derives from them optimal order estimates in L2 norm for the error in the approximate solution

关 键 词：动边值问题 混合元法 数值分析 油气运移 

分 类 号：O241.8[理学—计算数学] P618.130.1[理学—数学]