Solving PDEs in Python | Taschenbuch

Cover: 9783319524610 | Solving PDEs in Python | The FEniCS Tutorial I | Langtangen (u. a.)

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Sprache: Englisch

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Beschreibung

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.

Über den Autor

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.

Zusammenfassung

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: [...]

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2017
Fachbereich:	EDV
Genre:	Informatik , Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Thema:	Lexika
Medium:	Taschenbuch
Inhalt:	xi 146 S. 1 s/w Illustr. 16 farbige Illustr. 146 p. 17 illus. 16 illus. in color.
ISBN-13:	9783319524610
ISBN-10:	3319524615
Sprache:	Englisch
Herstellernummer:	978-3-319-52461-0
Einband:	Kartoniert / Broschiert
Autor:	Langtangen, Hans Petter Logg, Anders
Auflage:	1st edition 2016
Hersteller:	Springer Springer International Publishing AG
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 9 mm
Von/Mit:	Hans Petter Langtangen (u. a.)
Erscheinungsdatum:	29.03.2017
Gewicht:	0,254 kg