Domain Decomposition Methods for Partial Differential Equations

Erscheinungsjahr 1999
ISBN: 978-0-19-850178-7
Verlag: Oxford University Press

Buch, Englisch, 376 Seiten, Print PDF, Format (B × H): 160 mm x 241 mm, Gewicht: 696 g

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.

Autoren/Hrsg.

Quarteroni, Alfio

Valli, Alberto

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

- 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

Über Autor(innen)

Professor Alfio Quarteroni, Via Agostino da Lodi, 7 26900 Lodi, ITALY. Tel: [phone]; Fax: [phone]; email: [e-mail] Professor Alberto Valli, Department of Mathematics, University of Trento, 38050 Povo (TN), ITALY. Tel: [phone]; Fax: [phone]; email: [e-mail]