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Finite elements and fast iterative solvers : with applications in incompressible fluid dynamics /

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The subject of this book is the efficient solution of partial differential equations (PDEs) that arise when modelling incompressible fluid flow. The first part covers the Poisson and the Stokes equations. For each PDE, there is a chapter concerned with finite element discretization and a companion c...

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Bibliographic Details
Main Authors: Elman, Howard C. (Author), Silvester, David J. (Author), Wathen, Andrew J. (Author)
Format: eBook
Language:English
Published: Oxford : Oxford University Press, 2014.
Edition:Second edition.
Series:Numerical mathematics and scientific computation.
Subjects:
Finite element method.
Iterative methods (Mathematics)
Fluid dynamics.
Méthode des éléments finis.
Itération (Mathématiques)
Dynamique des fluides.
TECHNOLOGY & ENGINEERING > Hydraulics.
Finite element method
Fluid dynamics
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Models of incompressible fluid flow
  • The Poisson equation
  • Solution of discrete Poisson problems
  • The Stokes equations
  • Solution of discrete Stokes problems
  • Optimization with PDE constraints
  • The convection-diffusion equation
  • Solution of discrete convection-diffusion problems
  • The Navier-Stokes equations
  • Solution of discrete Navier-Stokes problems
  • Solution of unsteady Navier-Stokes problems
  • Solution of models of buoyancy-driven flow.