Domain decomposition methods for partial differential equations /
[Book]
Alfio Quarteroni, Alberto Valli.
New York :
Clarendon Press,
1999.
xv, 360 pages ;
24 cm
Numerical mathematics and scientific computation
Includes bibliographical references (pages 343-356) and index.
1. The Mathematical Foundation of Domain Decomposition Methods -- 2. Discretised Equations and Domain Decomposition Methods -- 3. Iterative Domain Decomposition Methods at the Discrete Level.
4. Convergence Analysis for Iterative Domain Decomposition Algorithms -- 5. Other Boundary Value Problems -- 6. Advection-Diffusion Equations -- 7. Time-Dependent Problems -- 8. Heterogeneous Domain Decomposition Methods -- 9.
Appendix.
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"Domain decomposition methods are designed to allow the effective numerical solution of partial differential equations on parallel computer architectures.
In this book the authors illustrate the basic mathematical concepts behind domain decomposition, looking at a large variety of boundary value problems."--Jacket.
They comprise a relatively new field of study, but have already found applications in many branches of physics and engineering.