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A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations (Lecture Notes in Computational Science and Engineering) [Paperback]

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Item description for A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations (Lecture Notes in Computational Science and Engineering) by Marc Alexander Schweitzer...

The numerical treatment of partial differential equations with meshfree discretization techniques has been a very active research area in recent years. Up to now, however, meshfree methods have beenin an early experimental stage and werenot competitive due to the lack of efficient iterative solvers and numerical quadrature. This volume now presents an efficient parallel implementation of a meshfree method, namely the partition of unity method (PUM).A general numerical integration scheme is presented for the efficient assembly of the stiffness matrix as well as an optimal multilevel solver for the arising linear system. Furthermore,detailed informationon the parallel implementation of the method on distributed memory computers is providedandnumerical results are presentedin two and three space dimensions with linear, higher order and augmented approximation spaces with up to 42 million degrees of freedom.






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Item Specifications...


Pages   194
Est. Packaging Dimensions:   Length: 9.2" Width: 6.1" Height: 0.4"
Weight:   0.35 lbs.
Binding  Softcover
Release Date   Apr 10, 2003
Publisher   Springer
ISBN  3540003517  
ISBN13  9783540003519  


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1Books > Bargain Books > Children > Science, Nature & How It Works
2Books > Special Features > Formats
3Books > Subjects > Computers & Internet > Hardware > System Architecture > Parallel Computing
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5Books > Subjects > Professional & Technical > Professional Science > Mathematics > Applied > Differential Equations
6Books > Subjects > Professional & Technical > Professional Science > Mathematics > Applied > Statistics
7Books > Subjects > Professional & Technical > Professional Science > Mathematics > Number Systems
8Books > Subjects > Science > General
9Books > Subjects > Science > Mathematics > Applied > Differential Equations
10Books > Subjects > Science > Mathematics > Applied > Probability & Statistics
11Books > Subjects > Science > Mathematics > General
12Books > Subjects > Science > Mathematics > Number Systems



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