Solving PDEs in Python The FEniCS Tutorial I

• Main Authors: Langtangen, Hans Petter, Logg, Anders
• Format: eBook
• Language: English
• Published: Springer Nature 2016
• Series: Simula 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
• DOI: 10.1007/978-3-319-52462-7

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.