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Solving PDEs in Python The FEniCS Tutorial I

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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 nonlinea...

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Bibliographic Details
Main Author: Langtangen, Hans Petter (auth)
Other Authors: Logg, Anders (auth)
Format: Electronic Book Chapter
Language:English
Published: Springer Nature 2016
Series:Simula SpringerBriefs on Computing 3
Subjects:
Maths for scientists
Numerical analysis
Combinatorics & graph theory
Mathematical & statistical software
Software Engineering
Computational Science and Engineering
Algorithms
Visualization
Mathematical Software
Numerical Analysis
Software Engineering/Programming and Operating Systems
Data and Information Visualization
Finite element
FEniCS
Partial Differential Equations
Python
Simulation
Open access
Operating systems
Online Access:OAPEN Library: download the publication
OAPEN Library: description of the publication
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Summary: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.
Physical Description:1 electronic resource (146 p.)
ISBN:978-3-319-52462-7
Access:Open Access

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