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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 NavierStokes equations, and systems of nonlinear advectiondiffusionreaction 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.
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 NavierStokes equations, and systems of nonlinear advectiondiffusionreaction 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
Professor Aslak Tveito is the managing director of Simula Research Laboratory. His research is focused on computing the electrical activity in the heart. Tveito is the co-author of more than 60 papers published in international peer-reviewed journals, and one textbook introducing partial differential equations. Tveito has also edited four books published internationally. Professor Hans Petter Langtangen is the director of Center for Biomedical Computing, a Norwegian Center of Excellence at Simula Research Laboratory, and a professor of computer science at the University of Oslo. His research concerns numerical methods and software tools for continuum mechanical problems. Langtangen has published more than 40 journal papers, and more than 50 peer-reviewed contributions to conference proceedings and books. He is the author of three textbooks and an a co-editor of three books. Langtangen has been an active developer of open source and commercial software systems for computational sciences. He is a member of the European Academy of Sciences and serves on the editorial board of five leading international journals. Dr. Nielsen is a research scientist at Simula Research Laboratory where he investigates whether it is possible to compute the position and size of heart infarctions from ECG recordings. He has published a number of papers on computational mathematics and during his years at Norwegian Computing Center he solved many scientific computing problems for the Norwegian oil industry. The research interests of Professor Xing Cai center around parallel numerical methods and software for solving partial differential equations. He has more than 50 peer-reviewed publications in international journals and conference proceedings.
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
Reihe: Simula SpringerBriefs on Computing
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
Simula SpringerBriefs on Computing
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
Artikel-ID: 108770264