Multi-grid methods and applications
Multi-grid methods and applications
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DOI：
10.1007/978-3-662-02427-0
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发表时间：
1985
期刊：
影响因子：
6
通讯作者：
W. Hackbusch
中科院分区：
文献类型：
--
作者：
W. Hackbusch
多重网格方法是求解椭圆边值问题的最有效工具。读者可以在这里找到对多重网格算法的基本介绍以及全面的收敛性分析。一节介绍了特殊的应用（对流扩散方程，奇异摄动问题，本征值问题等）。这本书还包含了一个完整的介绍多重网格方法的第二类，其中有重要的应用积分方程（如”面板法”）和许多其他问题。对多重网格方法有实际兴趣的读者将从这本书中受益，以及更多的理论兴趣。
Multi-grid methods are the most efficient tools for solving elliptic boundary value problems. The reader finds here an elementary introduction to multi-grid algorithms as well as a comprehensive convergence analysis. One section describes special applications (convection-diffusion equations, singular perturbation problems, eigenvalue problems, etc.). The book also contains a complete presentation of the multi-grid method of the second kind, which has important applications to integral equations (eg the" panel method") and to numerous other problems. Readers with a practical interest in multi-grid methods will benefit from this book as well as readers with a more theoretical interest.