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Titlebook: Numerical Solution of Elliptic Differential Equations by Reduction to the Interface; Boris N. Khoromskij,Gabriel Wittum Book 2004 Springer

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書目名稱Numerical Solution of Elliptic Differential Equations by Reduction to the Interface
編輯Boris N. Khoromskij,Gabriel Wittum
視頻videohttp://file.papertrans.cn/670/669207/669207.mp4
概述Includes supplementary material:
叢書名稱Lecture Notes in Computational Science and Engineering
圖書封面Titlebook: Numerical Solution of Elliptic Differential Equations by Reduction to the Interface;  Boris N. Khoromskij,Gabriel Wittum Book 2004 Springer
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
關(guān)鍵詞Operator; Poincaré-Steklov operators; data-sparse approximation; differential equation; elliptic equatio
版次1
doihttps://doi.org/10.1007/978-3-642-18777-3
isbn_softcover978-3-540-20406-0
isbn_ebook978-3-642-18777-3Series ISSN 1439-7358 Series E-ISSN 2197-7100
issn_series 1439-7358
copyrightSpringer-Verlag Berlin Heidelberg 2004
The information of publication is updating

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Multilevel Methods,itioners for solving Schur complement interface equations to be considered later on. The terminology was introduced by Dryja and Widlund [55] and goes back to the alternating algorithm proposed by Schwarz [161] in 1870. Due to Xu, this algorithm is also called a parallel subspace correction method.
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Robust Preconditioners for Equations with Jumping Anisotropic Coefficients,ace a wide range of applications in the problems of structural mechanics, porous media, magnetostatics and biology. Unstable convergence of the traditional iterative schemes appears to be a bottleneck in efficient numerical treatment of large scale computational problems with degeneration in coeffic
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Frequency Filtering Techniques, for the systems of linear equations arising in usual FE conforming approximations for elliptic problems. Here we also consider possible extensions of this technique to approximate the Schur complements on the interface [113]. Further generalizations of this approach by using tangential FFD and adap
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,Discrete Poincaré-Steklov Mappings for Biharmonic and Lamé Equations,in ideas on an asymptotically optimal Schur complement interface reduction for the Lamé equation on polygonal domains. The approach is based on using special Poincaré-Steklov operators associated with the biharmonic and Stokes equations.
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Interface Reduction for the Stokes Equation,ion may be applied to model a slow flow of viscous incompressible fluid and also in iterative methods for solving the Navier-Stokes and the nonstationary Stokes problems. Efficient finite element multigrid method for the Stokes and Navier-Stokes equations by using transforming smoothers was develope
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s and practitioners.Perfect presentation with fascinating ar"Total Fluidity" collects 10 years of academic design research conducted at the Zaha Hadid master-class at the University of Applied Arts in Vienna. Under the leadership of Zaha Hadid and Patrik Schumacher the studio developed a distinct co
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Boris N. Khoromskij,Gabriel Wittumangt (vgl. LESTING/FEEST 1987; WEBER 1990; KAMANN 1993). Ausgel?st wurde die Diskussion durch Berichte in der Berliner Tagespresse, wonach sich der Leiter der Justizvollzugsanstalt Berlin-Tegel geweigert hatte, einem rechtskr?ftigen Beschlu? des Landgerichts Berlin Folge zu leisten, mit dem die Anst
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