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Numerical Solution Of Elliptic Differential Equations By Reduction To The Interface


Numerical Solution Of Elliptic Differential Equations By Reduction To The Interface
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Numerical Solution Of Elliptic Differential Equations By Reduction To The Interface


Numerical Solution Of Elliptic Differential Equations By Reduction To The Interface
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Author : Boris N. Khoromskij
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-02-09

Numerical Solution Of Elliptic Differential Equations By Reduction To The Interface written by Boris N. Khoromskij and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-02-09 with Mathematics categories.


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 boundary. The aim of this book is to introduce a wider audience to the use of a new class of efficient numerical methods of almost linear complexity for solving elliptic partial differential equations (PDEs) based on their reduction to the interface.



Mathematical Reviews


Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2004

Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.




Siam Journal On Numerical Analysis


Siam Journal On Numerical Analysis
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Author :
language : en
Publisher:
Release Date : 1990-08

Siam Journal On Numerical Analysis written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-08 with Electronic journals categories.




Rundbrief Der Gesellschaft Fur Angewandte Mathematik Und Mechanik


Rundbrief Der Gesellschaft Fur Angewandte Mathematik Und Mechanik
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Author : Gesellschaft für Angewandte Mathematik und Mechanik
language : en
Publisher:
Release Date : 2002

Rundbrief Der Gesellschaft Fur Angewandte Mathematik Und Mechanik written by Gesellschaft für Angewandte Mathematik und Mechanik and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.




Computer Simulation 1951 1976


Computer Simulation 1951 1976
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Author : Per A. Holst
language : en
Publisher:
Release Date : 1979

Computer Simulation 1951 1976 written by Per A. Holst and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Computers categories.




American Book Publishing Record


American Book Publishing Record
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Author :
language : en
Publisher:
Release Date : 2003

American Book Publishing Record written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with American literature categories.




Numerical Methods In Thermal Problems


Numerical Methods In Thermal Problems
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Author :
language : en
Publisher:
Release Date : 1989

Numerical Methods In Thermal Problems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Heat engineering categories.




Mathematics Of Computation


Mathematics Of Computation
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Author :
language : en
Publisher:
Release Date : 1989

Mathematics Of Computation written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Computers categories.


Original articles on all aspects of numerical mathematics, book reviews, mathematical tables, and technical notes. Covers advances in numerical analysis, application of computer methods, high speed calculating, and other aids to computation.



U S Government Research Development Reports


U S Government Research Development Reports
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Author :
language : en
Publisher:
Release Date : 1970

U S Government Research Development Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Science categories.




Government Reports Annual Index


Government Reports Annual Index
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Author :
language : en
Publisher:
Release Date : 199?

Government Reports Annual Index written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 199? with categories.