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Domain Decomposition Methods for Partial Differential Equations : Numerical Mathematics and Scientific Computation (Hardcover) - Alfio Quarteroni

Domain Decomposition Methods for Partial Differential Equations

Numerical Mathematics and Scientific Computation (Hardcover)

Hardcover Published: 1st July 1999
ISBN: 9780198501787
Number Of Pages: 376

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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.

"[A] comprehensive mathematical theory on domain decomposition methods ... the book is very well written, and is highly recommended to researchers and graduate students who are interested in learning the basic mathematical theory of domain decomposition methods."--Mathematical Reviews "[A] comprehensive mathematical theory on domain decomposition methods ... the book is very well written, and is highly recommended to researchers and graduate students who are interested in learning the basic mathematical theory of domain decomposition methods."--Mathematical Reviews "[A] comprehensive mathematical theory on domain decomposition methods ... the book is very well written, and is highly recommended to researchers and graduate students who are interested in learning the basic mathematical theory of domain decomposition methods."--Mathematical Reviews "[A] comprehensive mathematical theory on domain decomposition methods ... the book is very well written, and is highly recommended to researchers and graduate students who are interested in learning the basic mathematical theory of domain decomposition methods."--Mathematical Reviews "�A� comprehensive mathematical theory on domain decomposition methods ... the book is very well written, and is highly recommended to researchers and graduate students who are interested in learning the basic mathematical theory of domain decomposition methods."--Mathematical Reviews

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

ISBN: 9780198501787
ISBN-10: 0198501781
Series: Numerical Mathematics and Scientific Computation (Hardcover)
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 376
Published: 1st July 1999
Country of Publication: GB
Dimensions (cm): 23.83 x 16.15  x 2.41
Weight (kg): 0.7