| 书目名称 | Numerical Solution of Elliptic Differential Equations by Reduction to the Interface | | 编辑 | Boris N. Khoromskij,Gabriel Wittum | | 视频video | | | 概述 | Includes supplementary material: | | 丛书名称 | Lecture Notes in Computational Science and Engineering | | 图书封面 |  | | 描述 | During the last decade essential progress has been achieved in the analysis and implementation of multilevel/rnultigrid and domain decomposition methods to explore a variety of real world applications. An important trend in mod ern numerical simulations is the quick improvement of computer technology that leads to the well known paradigm (see, e. g. , [78,179]): high-performance computers make it indispensable to use numerical methods of almost linear complexity in the problem size N, to maintain an adequate scaling between the computing time and improved computer facilities as N increases. In the h-version of the finite element method (FEM), the multigrid iteration real izes an O(N) solver for elliptic differential equations in a domain n c IRd d with N = O(h- ) , where h is the mesh parameter. In the boundary ele ment method (BEM) , the traditional panel clustering, fast multi-pole and wavelet based methods as well as the modern hierarchical matrix techniques are known to provide the data-sparse approximations to the arising fully populated stiffness matrices with almost linear cost O(Nr log?Nr), where 1 d Nr = O(h - ) is the number of degrees of freedom associated with the bo | | 出版日期 | Book 2004 | | 关键词 | Operator; Poincaré-Steklov operators; data-sparse approximation; differential equation; elliptic equatio | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-18777-3 | | isbn_softcover | 978-3-540-20406-0 | | isbn_ebook | 978-3-642-18777-3Series ISSN 1439-7358 Series E-ISSN 2197-7100 | | issn_series | 1439-7358 | | copyright | Springer-Verlag Berlin Heidelberg 2004 |
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发表于 2025-3-21 17:14:27
