Spectral methods for axisymmetric domains
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- Nombre de pages344
- PrésentationBroché
- Poids0.7 kg
- Dimensions17,0 cm × 24,0 cm × 0,2 cm
- ISBN2-84299-070-6
- EAN9782842990701
- Date de parution01/01/1999
- ÉditeurElsevier Masson
Résumé
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.
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.