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Domain Decomposition: Parallel Multilevel Methods for Elliptic Partial Differential Equations Overview
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.
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- Domain Decomposition Methods
- A Multigrid Tutorial
- Domain Decomposition Methods for Partial Differential Equations (Numerical Mathematics and Scientific Computation)
- Numerical Approximation of Partial Differential Equations (Springer Series in Computational Mathematics)
- Numerical Methods for Conservation Laws
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