Solving PDEs in Python The FEniCS Tutorial I

• Autor principal: Langtangen, Hans Petter (auth)
• Otros Autores: Logg, Anders (auth)
• Formato: Electrónico Capítulo de libro
• Lenguaje: inglés
• Publicado: Springer Nature 2016
• Colección: Simula SpringerBriefs on Computing 3
• Materias: 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
• Acceso en línea: OAPEN Library: download the publication; OAPEN Library: description of the publication

Sumario

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.

Descripción Física

1 electronic resource (146 p.)

ISBN

978-3-319-52462-7

Acceso

Open Access