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