| 求解二维双曲型方程的一种基本守恒差分格式 |
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| 引用本文： | 金保侠. 求解二维双曲型方程的一种基本守恒差分格式[J]. 计算物理, 1994, 11(3): 337-345 |
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| 作者姓名： | 金保侠 |
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| 作者单位： | 中国科学院计算中心, 北京 100080 |
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| 基金项目： | 国家自然科学基金及基础性研究重大关键项目的资助 |
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| 摘 要： | 构造了一种求解二维双曲型方程的基本守恒型差分格式,并证明了该格式的数值解是全变差有界的,在光滑区域具有二阶精度,按L1范数及L∞范数稳定,且其几乎处处有界收敛的极限解是微分方程的物理解。
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| 关 键 词： | 基本守恒格式 双曲型方程 全变差有界 熵条件 |
| 收稿时间： | 1993-03-27 |
| 修稿时间： | 1993-10-16 |
AN ESSENTIALLY CONSERVATIVE SCHEME FOR 2D HYPERBOLIC CONSERVATION LAWS |
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| Jin Baoxia. AN ESSENTIALLY CONSERVATIVE SCHEME FOR 2D HYPERBOLIC CONSERVATION LAWS[J]. Chinese Journal of Computational Physics, 1994, 11(3): 337-345 |
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| Authors: | Jin Baoxia |
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| Affiliation: | Computing Center, Academia Sinica, Beijing 100080 |
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| Abstract: | In this paper, an essentially conservative scheme is constructed. The scheme can not be written in the usual conservative form but it can be proven that the limit solutions of this scheme are the weak solutions of hyperbolic conservation laws. It is shown that the scheme is second order accuracy, total variation bounded, stable in L1 norm and in L∞ norm, and satisfies the entropy condition. |
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| Keywords: | essentially conservative scheme hyperbolic conservation laws total variation bounded entropy conditions |
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