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Solving PDEs in Python: The FEniCS Tutorial I de Hans Petter Langtangen

Solving PDEs in Python: The FEniCS Tutorial I: Simula SpringerBriefs on Computing, cartea 3

Autor Hans Petter Langtangen, Anders Logg
en Limba Engleză Paperback – 29 mar 2017
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.
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Specificații

ISBN-13: 9783319524610
ISBN-10: 3319524615
Pagini: 136
Ilustrații: XI, 146 p. 17 illus., 16 illus. in color.
Dimensiuni: 155 x 235 x 9 mm
Greutate: 0.23 kg
Ediția:1st ed. 2016
Editura: Springer International Publishing
Colecția Springer
Seria Simula SpringerBriefs on Computing

Locul publicării:Cham, Switzerland

Cuprins

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.

Recenzii

“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)

Textul de pe ultima copertă

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.

Caracteristici

Definitive and authoritative guide to FEniCS programming Revised, expanded and improved version of the very popular FEniCS Tutorial chapter that many users have enjoyed for the last 5 years Teaches how to program advanced finite element solvers for challenging applications in just minutes, including basic Python programming, finite element methodology and its application to a range of fundamental PDE models Comes with a series of example programs that demonstrate fundamental techniques Can be used as a starting point for readers who want to implement their own PDE solvers Includes supplementary material: sn.pub/extras