Domain Decomposition Methods for Partial Differential Equations

Domain Decomposition Methods for Partial Differential Equations

by Alfio Quarteroni, Alberto Valli, A. Valli
     
 

ISBN-10: 0198501781

ISBN-13: 9780198501787

Pub. Date: 07/28/1999

Publisher: Oxford University Press, USA

Domain decomposition methods are designed to allow the effective numerical solution of partial differential equations on parallel computer architectures. They comprise a relatively new field of study but have already found important applications in many branches of physics and engineering. In this book the authors illustrate the basic mathematical concepts behind

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Overview

Domain decomposition methods are designed to allow the effective numerical solution of partial differential equations on parallel computer architectures. They comprise a relatively new field of study but have already found important applications in many branches of physics and engineering. In this book the authors illustrate the basic mathematical concepts behind domain decomposition, looking at a large variety of boundary value problems. Contents include symmetric elliptic equations, advection-diffusion equations, the elasticity problem, the Stokes problem for incompressible and compressible fluids, the time-harmonic Maxwell equations, parabolic and hyperbolic equations, and suitable couplings of heterogeneous equations.

Product Details

ISBN-13:
9780198501787
Publisher:
Oxford University Press, USA
Publication date:
07/28/1999
Series:
Numerical Mathematics and Scientific Computation Series
Pages:
376
Product dimensions:
9.30(w) x 6.20(h) x 1.00(d)

Table of Contents

1. Mathematical foundation of domain decomposition methods
2. Discretized equations and domain decomposition
3. Iterative domain decomposition methods at the discrete level
4. Convergence analysis for iterative domain decomposition
5. Other boundary value problems
6. Advection-diffusion equations
7. Time-dependent problems
8. Heterogeneous domain decomposition methods

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