Solving PDEs in Python
Springer International Publishing (Verlag)
978-3-319-52461-0 (ISBN)
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.
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.
"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)
| Erscheinungsdatum | 07.03.2017 |
|---|---|
| Reihe/Serie | Simula SpringerBriefs on Computing |
| Zusatzinfo | XI, 146 p. 17 illus., 16 illus. in color. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Informatik |
| Mathematik / Informatik ► Mathematik ► Analysis | |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Schlagworte | algorithms • Combinatorics and graph theory • computational science and engineering • FEniCS • Finite Element • Mathematical and statistical software • mathematical software • Mathematics • mathematics and statistics • Maths for scientists • Numerical analysis • open access • Operating Systems • Partial differential equations • Python • Simulation • Software engineering • Software Engineering/Programming and Operating Sys • Visualization |
| ISBN-10 | 3-319-52461-5 / 3319524615 |
| ISBN-13 | 978-3-319-52461-0 / 9783319524610 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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