Introduction to Numerical Methods for Vari...

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Sprache: Englisch

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Beschreibung

This textbook teaches finite element methods from a computational point of view. It focuses on how to develop flexible computer programs with Python, a programming language in which a combination of symbolic and numerical tools is used to achieve an explicit and practical derivation of finite element algorithms. The finite element library FEniCS is used throughout the book, but the content is provided in sufficient detail to ensure that students with less mathematical background or mixed programming-language experience will equally benefit. All program examples are available on the Internet.

Über den Autor

Hans Petter Langtangen (1962 - 2016) was a professor of computer science at the University of Oslo. He was formerly a professor of mechanics and was the Director of "Center for Biomedical Computing", a Norwegian Center of Excellence at the Simula Research Laboratory in Oslo. Langtangen has more than 100 scientific publications, including journal papers and many books, e.g., the bestseller TCSE 6 "A Primer on Scientific Programming with Python" (editions 1 - 5). He has also developed open source and commercial software systems for computational sciences."

Kent-Andre Mardal is a professor of mechanics at the University of Oslo and an adjunct research scientist at Simula Research Laboratory. He has published more than 80 scientific publications, including journal papers, one co-authored book and the co-edited the book about the FEniCS project, for which he was a core developer for many years.

Zusammenfassung

Teaching the concept of finite elements or variational methods in general to students with less mathematical background

Taking an explicit and practical approach and explaining the algorithmic aspects in detail

Suitable already in the third year

Inhaltsverzeichnis

Preface.- Quick overview of the finite element method.- Function approximation by global functions.- Function approximation by finite elements.- Variational formulations with global elements.- Variational formulations with finite elements.- Time-dependent variational forms.- Variational forms for systems of PDEs.- Nonlinear Problems.- Variational forms for linear systems.- Useful formulas.

Details

Erscheinungsjahr:	2020
Fachbereich:	Wahrscheinlichkeitstheorie
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Texts in Computational Science and Engineering
Inhalt:	xvi 395 S. 12 s/w Illustr. 76 farbige Illustr. 395 p. 88 illus. 76 illus. in color.
ISBN-13:	9783030237905
ISBN-10:	3030237907
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Langtangen, Hans Petter Mardal, Kent-Andre
Hersteller:	Springer Palgrave Macmillan Springer International Publishing AG Texts in Computational Science and Engineering
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 23 mm
Von/Mit:	Hans Petter Langtangen (u. a.)
Erscheinungsdatum:	15.10.2020
Gewicht:	0,622 kg