Solving PDEs in Python: The FEniCS Tutorial I

Hans Petter Langtangen & Anders Logg

Language: English

Google Books ISBN

Algorithms Applied Combinatorics Computer Science Computers General Graphic Methods Mathematical & Statistical Software Mathematics Number Systems Numerical Analysis Programming Software Development & Engineering

Publisher: Springer

Published: Mar 21, 2017

Description:

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.