| 带有记忆项和阻尼项的非线性双曲型方程的有限元方法 |
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| 引用本文： | 江成顺.带有记忆项和阻尼项的非线性双曲型方程的有限元方法[J].高校应用数学学报(英文版),1999,14(4). |
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| 作者姓名： | 江成顺 |
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| 作者单位： | Dept.of Appl.Math,Univ.of Information Engineering,Zhengzhou 450002
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| 摘 要： |
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FINITE ELEMENT METHOD FOR SOME NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS |
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| Jiang Chengshun.FINITE ELEMENT METHOD FOR SOME NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS[J].Applied Mathematics A Journal of Chinese Universities,1999,14(4). |
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| Authors: | Jiang Chengshun |
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| Abstract: | This paper studies the finite element method for some nonlinear hyperbolic partial differential equations with memory and dampling terms.A Crank-Nicolson approximation for this kind of equations is presented.By using the elliptic Ritz-Volterra projection,the analysis of the error estimates for the finite element numerical solutions and the optimal H1-norm error estimate are demonstrated. |
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| Keywords: | Nonlinear hyperbolic equation memory term damping term Crank-Nicolson approximation Ritz-Volterra projection finite element method |
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