| 间断常系数抛物方程组特征修正区域分解有限元法 |
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| 引用本文： | 常洛. 间断常系数抛物方程组特征修正区域分解有限元法[J]. 山东大学学报(理学版), 2004, 39(6): 9-12 |
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| 作者姓名： | 常洛 |
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| 作者单位： | 山东大学,数学与系统科学学院,山东,济南,250100 |
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| 基金项目： | 国家重点基础研究专项经费资助项目(1999032803),国家自然科学基金资助项目(10372052,10271066),教育部博士点基金资助项目(20030422047) |
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| 摘 要： | 研究了间断常系数抛物型方程组,应用特征修正区域分解有限元方法处理此问题．定义了一个函数,用这个函数在前一时间层的值近似在剖分子区域相交界面上的法向导数值,使得问题在子区域上是相互独立的,从而实现了并行．并给出了收敛性分析和L^2模误差估计.
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| 关 键 词： | 间断系数 抛物方程组 特征有限元方法 区域分解 |
| 文章编号： | 1671-9352(2004)06-0009-04 |
| 修稿时间： | 2003-12-23 |
Domain decomposition method with characteristic finite element procedure for system of parabolic equations with discontinuous coefficients |
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| CHANG Luo. Domain decomposition method with characteristic finite element procedure for system of parabolic equations with discontinuous coefficients[J]. Journal of Shandong University, 2004, 39(6): 9-12 |
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| Authors: | CHANG Luo |
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| Abstract: | System of parabolic equations with discontinuous coefficients is studied. Domain decomposition method with characteristic finite element procedure is applied. A function is defined to approximate the fluxes at inner boundaries by using the solution at the previous level. Thus the parallelism is achieved. Convergence analysis and error estimate are also presented. |
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| Keywords: | discontinuous coefficient system of parabolic equations characteristics domain decomposition |
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