| 一阶线性椭圆型复方程一些边值问题解的有限元逼近 |
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| 引用本文： | 李平谦.一阶线性椭圆型复方程一些边值问题解的有限元逼近[J].烟台大学学报(自然科学与工程版),1989(1). |
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| 作者姓名： | 李平谦 |
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| 作者单位： | 烟台大学 |
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| 摘 要： | 本文用有限元方法证明了最一般的一阶线性一致椭圆型复方程Riemann-Hilbert边值问题和复合边值问题的有限元解是存在的,并给出了误差估计。另外,借助于1]中解的先验估计式讨论了上述边值问题解的稳定性。
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| 关 键 词： | 复方程 边值问题 有限元 |
Finite Element Approximations on Some Boundary Value Problems for Linear Elliptic Complex Equation of First Order |
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| Li Pingqian Yantai University.Finite Element Approximations on Some Boundary Value Problems for Linear Elliptic Complex Equation of First Order[J].Journal of Yantai University(Natural Science and Engineering edirion),1989(1). |
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| Authors: | Li Pingqian Yantai University |
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| Institution: | Li Pingqian Yantai University |
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| Abstract: | Using finite element method we proved that approximate solutions of the Rie-mann-Hilbert and compound boundary value problems for the most general linear uniformly elliptic complex equation of first order are existent and the error estimates were given. In addition, using the prerior estimates in 1], the stability of solutions of the above boundary value problems were discuseed. |
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| Keywords: | Complex equation Boundary value problem Finite element |
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