Solving PDEs in Python The FEniCS Tutorial I /

• Main Authors: Langtangen, Hans Petter (Author), Logg, Anders (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: Simula SpringerBriefs on Computing ; 3
• Subjects: Mathematics.; Software engineering.; Algorithms.; Computer mathematics.; Visualization.; Computer software.; Numerical analysis.; Computational Science and Engineering.; Mathematical Software.; Numerical Analysis.; Software Engineering/Programming and Operating Systems.

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...

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.