| 动边值问题的混合元方法和数值分析 |
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| 引用本文： | 袁益让.动边值问题的混合元方法和数值分析[J].应用数学学报,1997,20(3):332-344. |
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| 作者姓名： | 袁益让 |
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| 作者单位： | 山东大学数学研究所!济南，250100 |
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| 基金项目： | 国家攀登计划项目，国家八五攻关项目 |
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| 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Ｌ＾２模误差估计。
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| 关 键 词： | 动边值问题 混合元法 数值分析 油气运移 |
A MIXED FINITE ELEMENT METHODS FOR MOVING BOUNDARY VALUE PROBLEM AND NUMERICAL ANALYSIS |
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| YUAN YIRANG.A MIXED FINITE ELEMENT METHODS FOR MOVING BOUNDARY VALUE PROBLEM AND NUMERICAL ANALYSIS[J].Acta Mathematicae Applicatae Sinica,1997,20(3):332-344. |
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| Authors: | YUAN YIRANG |
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| Abstract: | 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 |
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| Keywords: | 2-dimensional bounded region moving boundaly value problem characteristic mired finite element method L~2 error estimates |
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