Domain decomposition: parallel multilevel methods for elliptic PDEs
โ Scribed by Barry Smith, Petter Bjorstad, William Gropp
- Publisher
- Cambridge University Press
- Year
- 2004
- Tongue
- English
- Leaves
- 237
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
This book presents an easy-to-read discussion of domain decomposition algorithms, their implementation and analysis. The authors carefully explain the relationship between domain decomposition and multigrid methods at an elementary level, and they discuss the implementation of domain decomposition methods on massively parallel supercomputers. They fully describe and explain all algorithms and carefully develop a mathematical framework for the analysis and complete understanding of the methods. In addition, they include numerous numerical examples to demonstrate the behavior of this important class of numerical methods.
๐ SIMILAR VOLUMES
<p><P>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 been in an early experimental stage and were not competitive due to the lack of efficient iterative
This thesis is concerned with the numerical solution of boundary value problems (BVPs) governed by nonlinear elliptic partial differential equations (PDEs). To iteratively solve such BVPs, it is of primal importance to develop efficient schemes that guarantee convergence of the numerically approxima
<P>The scope of this text is to offer a comprehensive and self-sufficient presentation of some of the most successful and popular domain decomposition preconditioners for finite and spectral element approximations of partial differential equations. Strong emphasis is put both on their algorithmic an
<p><span>This book offers a comprehensive presentation of some of the most successful and popular domain decomposition preconditioners for finite and spectral element approximations of partial differential equations. It places strong emphasis on both algorithmic and mathematical aspects. It covers i