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Simula SpringerBriefs on Computing
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Solving PDEs in Python

The FEniCS Tutorial I

Authors: Langtangen, Hans Petter, Logg, Anders

  • Definitive and authoritative guide to FEniCS programming
  • Revised, expanded and improved version of the very popular FEniCS Tutorial chapter that many users have enjoyed for the last 5 years
  • Teaches how to program advanced finite element solvers for challenging applications in just minutes, including basic Python programming, finite element methodology and its application to a range of fundamental PDE models
  • Comes with a series of example programs that demonstrate fundamental techniques
  • Can be used as a starting point for readers who want to implement their own PDE solvers
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Buy this book

eBook  
  • ISBN 978-3-319-52462-7
  • This book is an open access book, you can download it for free on link.springer.com
Softcover 20,79 €
price for Spain (gross)
  • ISBN 978-3-319-52461-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

This book offers a concise and gentle introduction to finite element programming in Python based on the popular FEniCS software library. Using a series of examples, including the Poisson equation, the equations of linear elasticity, the incompressible Navier–Stokes equations, and systems of nonlinear advection–diffusion–reaction equations, it guides readers through the essential steps to quickly solving a PDE in FEniCS, such as how to define a finite variational problem, how to set boundary conditions, how to solve linear and nonlinear systems, and how to visualize solutions and structure finite element Python programs.

This book is open access under a CC BY license.

Reviews

“This book of about 150 pages introduces the FEniCS software toolset in 5 chapters ... . The targeted audience includes applications scientists in the area of PDEs who seek for an easy way to implement their problems, and who are willing to invest the time to learn how to work with FEniCS.” (Gudula Rünger, zbMATH 1376.65144, 2018)


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Table of contents (5 chapters)

  • Preliminaries

    Langtangen, Hans Petter (et al.)

    Pages 3-10

  • Fundamentals: Solving the Poisson equation

    Langtangen, Hans Petter (et al.)

    Pages 11-35

  • A Gallery of Finite Element Solvers

    Langtangen, Hans Petter (et al.)

    Pages 37-81

  • Subdomains and boundary conditions

    Langtangen, Hans Petter (et al.)

    Pages 83-107

  • Extensions: Improving the Poisson Solver

    Langtangen, Hans Petter (et al.)

    Pages 109-141

Buy this book

eBook  
  • ISBN 978-3-319-52462-7
  • This book is an open access book, you can download it for free on link.springer.com
Softcover 20,79 €
price for Spain (gross)
  • ISBN 978-3-319-52461-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Solving PDEs in Python
Book Subtitle
The FEniCS Tutorial I
Authors
Series Title
Simula SpringerBriefs on Computing
Series Volume
3
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s)
eBook ISBN
978-3-319-52462-7
DOI
10.1007/978-3-319-52462-7
Softcover ISBN
978-3-319-52461-0
Edition Number
1
Number of Pages
XI, 146
Number of Illustrations
1 b/w illustrations, 16 illustrations in colour
Topics