Happy Holidays—Our $30 Gift Card just for you, and books ship free! Shop now>>

Lecture Notes in Computational Science and Engineering

Spectral Elements for Transport-Dominated Equations

Authors: Funaro, Daniele

Free Preview

Buy this book

eBook $74.99
price for USA in USD (gross)
  • ISBN 978-3-642-59185-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $99.00
price for USA in USD
  • ISBN 978-3-540-62649-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

In the last few years there has been a growing interest in the development of numerical techniques appropriate for the approximation of differential model problems presenting multiscale solutions. This is the case, for instance, with functions displaying a smooth behavior, except in certain regions where sudden and sharp variations are localized. Typical examples are internal or boundary layers. When the number of degrees of freedom in the discretization process is not sufficient to ensure a fine resolution of the layers, some stabilization procedures are needed to avoid unpleasant oscillatory effects, without adding too much artificial viscosity to the scheme. In the field of finite elements, the streamline diffusion method, the Galerkin least-squares method, the bub­ ble function approach, and other recent similar techniques provide excellent treatments of transport equations of elliptic type with small diffusive terms, referred to in fluid dynamics as advection-diffusion (or convection-diffusion) equations. Goals This book is an attempt to guide the reader in the construction of a computa­ tional code based on the spectral collocation method, using algebraic polyno­ mials. The main topic is the approximation of elliptic type boundary-value par­ tial differential equations in 2-D, with special attention to transport-diffusion equations, where the second-order diffusive terms are strongly dominated by the first-order advective terms. Applications will be considered especially in the case where nonlinear systems of partial differential equations can be re­ duced to a sequence of transport-diffusion equations.

Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook $74.99
price for USA in USD (gross)
  • ISBN 978-3-642-59185-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $99.00
price for USA in USD
  • ISBN 978-3-540-62649-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Spectral Elements for Transport-Dominated Equations
Authors
Series Title
Lecture Notes in Computational Science and Engineering
Series Volume
1
Copyright
1997
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-59185-3
DOI
10.1007/978-3-642-59185-3
Softcover ISBN
978-3-540-62649-7
Series ISSN
1439-7358
Edition Number
1
Number of Pages
X, 215
Topics