Spectral Methods for Axisymmetric Domains (Series in applied mathematics N° 3)

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Collection:
Publisher: ELSEVIER
Co-Publisher: Éditions Lavoisier
Pages: 344
Format: Livre broché, 170mm × 240mm
ISBN : 978-2-8429-9070-1
Printed in: English
Discipline:
Publication date: 15/03/1999
This book is devoted to the mathematical and numerical analysis of partial differential equations set in a three-dimensional axisymmetric domain, that is, a domain generated by rotation of a bidimensional meridian domain around an axis. Thus a three-dimensional axisymmetric boundary value problem can be reduced to a countable family of two-dimensional equations, by expanding the data and unknowns in Fourier series, and an infinite-order approximation is obtained by truncating the Fourier series. Spectral methods for axisymmetric domains contains a deep analysis requiring precise and optimal parameter-dependent estimates, which is aimed at readers interested in mathematical and numerical analysis. In addition, due to the specificity of the geometry, an accurate discretization of a three-dimensional equation is obtained by solving a small number of two-dimensional systems, which is very efficient for many real-life problems and should be of great help for engineers.