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 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.

1125480316
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 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.

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Solving PDEs in Python: The FEniCS Tutorial I

Solving PDEs in Python: The FEniCS Tutorial I

by Hans Petter Langtangen, Anders Logg
Solving PDEs in Python: The FEniCS Tutorial I

Solving PDEs in Python: The FEniCS Tutorial I

by Hans Petter Langtangen, Anders Logg

Overview

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.

Product Details

ISBN-13: 9783319524610
Publisher: Springer International Publishing
Publication date: 03/22/2017
Series: Simula SpringerBriefs on Computing , #3
Edition description: 1st ed. 2016
Pages: 146
Product dimensions: 6.10(w) x 9.25(h) x (d)

Table of Contents

1 Preliminaries.- 2 Fundamentals: Solving the Poisson Equation.- 3 A Gallery of Finite Element Solvers.- 4 Subdomains and Boundary Conditions.- 5 Extensions: Improving the Poisson Solver.- References.
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