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.

Domain Decomposition Methods for Partial Differential Equations (Numerical Mathematics and Scientific Computation)

Computers & Technology

Quarteroni, Alfio

Valli, Alberto

Programming

Oxford University Press

This textbook is devoted to second order linear partial differential equations. The focus is on variational formulations in Hilbert spaces. It contains elliptic equations, including some basic results on Fredholm alternative and spectral theory, some useful notes on functional analysis, a brief presentation of Sobolev spaces and their properties, saddle point problems, parabolic equations and hyperbolic equations. Many exercises are added, and the complete solution of all of them is included.&nbsp;The work is mainly addressed to students in Mathematics, but also students in Engineering with a good mathematical background should be able to follow the theory presented here.

A Compact Course on Linear PDEs (UNITEXT, 126)

Science & Math

Mathematics

Springer

This textbook is devoted to second order linear partial differential equations. The focus is on variational formulations in Hilbert spaces. It contains elliptic equations, including the biharmonic problem, some useful notes on functional analysis, a brief presentation of Sobolev spaces and their properties, some basic results on Fredholm alternative and spectral theory,&nbsp;saddle point problems, parabolic and linear Navier-Stokes equations, and hyperbolic and Maxwell equations. Almost 80 exercises are added, and the complete solution of all of them is included. The work is mainly addressed to students in Mathematics, but also students in Engineering with a good mathematical background should be able to follow the theory presented here. This second edition has been enriched by some new sections and new exercises; in particular, three important equations are now included: the biharmonic equation, the linear Navier-Stokes equations and the Maxwell equations.&nbsp;

A Compact Course on Linear PDEs (UNITEXT, 154)

This book deals with the mathematical analysis and the numerical approximation of eddy current problems in the time-harmonic case. It takes into account all the most used formulations, placing the problem in a rigorous functional framework.

Eddy Current Approximation of Maxwell Equations: Theory, Algorithms and Applications (MS&A, 4)

Alonso Rodriguez, Ana

This book deals with the mathematical analysis and the numerical approximation of eddy current problems in the time-harmonic case. It takes into account all the most used formulations, placing the problem in a rigorous functional framework.

Alonso Rodriguez, Ana Alonso

See the best price to sell, buy, or rent books by Valli, Alberto. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Valli, Alberto

See the best price to sell, buy, or rent books by Valli, Alberto. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Domain Decomposition Methods for Partial Differential Equations (Numerical Mathematics and Scientific Computation)

A Compact Course on Linear PDEs (UNITEXT, 126)

A Compact Course on Linear PDEs (UNITEXT, 154)

Eddy Current Approximation of Maxwell Equations: Theory, Algorithms and Applications (MS&A, 4)

Eddy Current Approximation of Maxwell Equations: Theory, Algorithms and Applications (MS&A, 4)