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.
Reviews / Votes
"This book of about 150 pages introduces the FEniCS software toolset in 5 chapters ... . The targeted audience includes applications scientists in the area of PDEs who seek for an easy way to implement their problems, and who are willing to invest the time to learn how to work with FEniCS." (Gudula Rünger, zbMATH 1376.65144, 2018)
Series
Edition
Language
Place of publication
Publishing group
Springer International Publishing
Illustrations
1 s/w Abbildung, 16 farbige Abbildungen
XI, 146 p. 17 illus., 16 illus. in color.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 9 mm
Weight
ISBN-13
978-3-319-52461-0 (9783319524610)
DOI
10.1007/978-3-319-52462-7
Schweitzer Classification
Hans Petter Langtangen is a professor of
computer science at the University of Oslo. He has formerly been a professor of
mechanics and is now the director of a Norwegian Center of Excellence:
"Center for Biomedical Computing", at Simula Research Laboratory.
Langtangen has published over 100 scientific publications and written several
books, including papers and the bestseller TCSE 6 "A Primer on Scientific
Programming with Python", now in its 5th edition. He has also developed
open source and commercial software systems for computational sciences.
Geir K. Pedersen is a professor of mechanics at the
Department of Mathematics, University of Oslo. He has a life-long experience in
fluid dynamics and mathematical modeling. Pedersen has published articles on
wave theory, numerical modeling, perturbation techniques, tsunamis,
hydrodynamic stability and experimental fluid dynamics.
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.
