| 依赖时间的二阶双曲方程半离散Galerkin解法的误差估计 |
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| 引用本文： | 蔚喜军. 依赖时间的二阶双曲方程半离散Galerkin解法的误差估计[J]. 内蒙古大学学报(自然科学版), 1988, 0(1) |
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| 作者姓名： | 蔚喜军 |
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| 作者单位： | 内蒙古大学数学系 |
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| 摘 要： | 本文考虑如下形式的二阶双曲方程: 其中A(t)=L_1(t)+L_2(t)依赖于时间t,当L_1(t)正定,L_1~(-1)(t)L_2(t)全连续时,我们就标准的Galèrkin有限元方法,给出半离散解的H~1模和L_2模误差估计。
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| 关 键 词： | 依赖时间的二阶双曲方程u_(tt)+A(t)u=f A(t)=L_1(t)+L_2(t) L_1(t)正定 L_1~(-1)(t)L_2(t)全连续 半离散Galerkin近似 L~2模 H~1模误差估计 |
Some Error Estinates for Semidiscrete Galerkin Method for Time-Dependent Second Order Hyperbolic Equations |
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| Yu Xijun. Some Error Estinates for Semidiscrete Galerkin Method for Time-Dependent Second Order Hyperbolic Equations[J]. Acta Scientiarum Naturalium Universitatis Neimongol, 1988, 0(1) |
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| Authors: | Yu Xijun |
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| Affiliation: | Department of Mathematics |
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| Abstract: | In this paper, we consider the following second order hyperbolic equations: here A(t)=L_1(t)+L_2(t) is time-dependent, the L_2(t) is Positive definite and L_1~(-1)(t)L_2(t) is compact. The error estimates in L~2 norm and in H~1 are given for semidiscrete Galerkin approximations of problem (1.1). |
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| Keywords: | Time-dependent second order hyperbolic equation u_(tt)+A(t)u=f A(t)=L_1(t)+L_2(t) L_1(t) Positive definiite L_1~(-1)(t) compact Semidiscrete Galerkin approximations error Estimates in L~2 norm and H~1 norm. |
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