| 非线性拟双曲型方程的有限元方法 |
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| 引用本文： | 朱江.非线性拟双曲型方程的有限元方法[J].东南大学学报(自然科学版),1987(2). |
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| 作者姓名： | 朱江 |
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| 作者单位： | 南京工学院数学力学系 |
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| 摘 要： | 本文研究了一类非线性拟双曲型方程的半离散化和全离散化的有限元逼近,对这两种逼近格式的收敛性和稳定性理论作了分析,得到了最佳的L~2模和H~1模有限元误差估计。
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| 关 键 词： | 非线拟伪双曲型方程 有限元 收敛性 稳定性 |
The Finite Element Methods for Nonlinear Pseudo-hyperbolic Equations |
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| Zhu Jiang.The Finite Element Methods for Nonlinear Pseudo-hyperbolic Equations[J].Journal of Southeast University(Natural Science Edition),1987(2). |
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| Authors: | Zhu Jiang |
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| Institution: | Dept. of Mathematics and Mechanics |
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| Abstract: | This paper discusses the continuous time and the discrete time of the finite approximations to a class of nonlinear pseudo-hyperbolic equations. For each approximation, convergence and stability are established, and optimal order L~2-error and H~1-error estimates are obtained. |
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| Keywords: | nonlinear pseudo-hyperbolic equations finite element convergence stability |
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