Solving PDEs in Python The FEniCS Tutorial I

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 Authors Langtangen, Hans Petter, Logg, Anders
Format eBook
LanguageEnglish
Published Springer Nature 2016
SeriesSimula SpringerBriefs on Computing
Subjects
Algorithms
Business applications
Calculus and mathematical analysis
Combinatorics & graph theory
Combinatorics and graph theory
Computational Science and Engineering
Computer programming / software engineering
Computing and Information Technology
Data and Information Visualization
FEniCS
Finite element
Mathematical & statistical software
Mathematical and statistical software
Mathematical Software
Mathematics
Mathematics and Science
Maths for scientists
Numerical analysis
Open access
Operating systems
Partial Differential Equations
Python
Science: general issues
Simulation
Software Engineering
Software Engineering/Programming and Operating Systems
Visualization
Online AccessGet full text
DOI10.1007/978-3-319-52462-7

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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.
DOI:10.1007/978-3-319-52462-7