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The finite element method:: theory, implementation, and applications

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Bibliographic Details
Main Authors:	Larson, Mats G. 1968- (Author), Bengzon, Fredrik (Author)
Format:	Electronic eBook
Language:	English
Published:	Heidelberg ; New York ; Dodrecht ; London Springer 2013
Series:	Texts in computational science and engineering 10
Subjects:	Finite-Elemente-Methode
Online Access:	BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract
Physical Description:	1 Online-Ressource (xvii, 385 Seiten)
ISBN:	9783642332876
DOI:	10.1007/978-3-642-33287-6

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Record in the Search Index

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adam_text	THE FINITE ELEMENT METHOD: THEORY, IMPLEMENTATION, AND APPLICATIONS / LARSON, MATS G. : 2013 TABLE OF CONTENTS / INHALTSVERZEICHNIS 1. PIECEWISE POLYNOMIAL APPROXIMATION IN 1D 2. THE FINITE ELEMENT METHOD IN 1D 3. PIECEWISE POLYNOMIAL APPROXIMATION IN 2D 4. THE FINITE ELEMENT METHOD IN 2D 5. TIME-DEPENDENT PROBLEMS 6. SOLVING LARGE SPARSE LINEAR SYSTEMS 7. ABSTRACT FINITE ELEMENT ANALYSIS 8. THE FINITE ELEMENT 9. NON-LINEAR PROBLEMS 10. TRANSPORT PROBLEMS 11. SOLID MECHANICS 12. FLUID MECHANICS 13. ELECTROMAGNETICS 14. DISCONTINUOUS GALERKIN METHODS A. SOME ADDITIONAL MATLAB CODE REFERENCES DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. THE FINITE ELEMENT METHOD: THEORY, IMPLEMENTATION, AND APPLICATIONS / LARSON, MATS G. : 2013 ABSTRACT / INHALTSTEXT THIS BOOK GIVES AN INTRODUCTION TO THE FINITE ELEMENT METHOD AS A GENERAL COMPUTATIONAL METHOD FOR SOLVING PARTIAL DIFFERENTIAL EQUATIONS APPROXIMATELY. OUR APPROACH IS MATHEMATICAL IN NATURE WITH A STRONG FOCUS ON THE UNDERLYING MATHEMATICAL PRINCIPLES, SUCH AS APPROXIMATION PROPERTIES OF PIECEWISE POLYNOMIAL SPACES, AND VARIATIONAL FORMULATIONS OF PARTIAL DIFFERENTIAL EQUATIONS, BUT WITH A MINIMUM LEVEL OF ADVANCED MATHEMATICAL MACHINERY FROM FUNCTIONAL ANALYSIS AND PARTIAL DIFFERENTIAL EQUATIONS. IN PRINCIPLE, THE MATERIAL SHOULD BE ACCESSIBLE TO STUDENTS WITH ONLY KNOWLEDGE OF CALCULUS OF SEVERAL VARIABLES, BASIC PARTIAL DIFFERENTIAL EQUATIONS, AND LINEAR ALGEBRA, AS THE NECESSARY CONCEPTS FROM MORE ADVANCED ANALYSIS ARE INTRODUCED WHEN NEEDED. THROUGHOUT THE TEXT WE EMPHASIZE IMPLEMENTATION OF THE INVOLVED ALGORITHMS, AND HAVE THEREFORE MIXED MATHEMATICAL THEORY WITH CONCRETE COMPUTER CODE USING THE NUMERICAL SOFTWARE MATLAB IS AND ITS PDE-TOOLBOX. WE HAVE ALSO HAD THE AMBITION TO COVER SOME OF THE MOST IMPORTANT APPLICATIONS OF FINITE ELEMENTS AND THE BASIC FINITE ELEMENT METHODS DEVELOPED FOR THOSE APPLICATIONS, INCLUDING DIFFUSION AND TRANSPORT PHENOMENA, SOLID AND FLUID MECHANICS, AND ALSO ELECTROMAGNETICS. DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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author	Larson, Mats G. 1968- Bengzon, Fredrik
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spelling	Larson, Mats G. 1968- (DE-588)173402216 aut The finite element method: theory, implementation, and applications Mats G. Larson ; Fredrik Bengzon Heidelberg ; New York ; Dodrecht ; London Springer 2013 1 Online-Ressource (xvii, 385 Seiten) txt rdacontent c rdamedia cr rdacarrier Texts in computational science and engineering 10 Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 s 1\p DE-604 Bengzon, Fredrik (DE-588)1031543570 aut Erscheint auch als Druck-Ausgabe 978-3-642-33286-9 Erscheint auch als Druckausgabe 978-3-642-33286-9 Texts in computational science and engineering 10 (DE-604)BV035421282 10 https://doi.org/10.1007/978-3-642-33287-6 Verlag URL des Erstveröffentlichers Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025785308&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025785308&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Larson, Mats G. 1968- Bengzon, Fredrik The finite element method: theory, implementation, and applications Texts in computational science and engineering Finite-Elemente-Methode (DE-588)4017233-8 gnd
subject_GND	(DE-588)4017233-8
title	The finite element method: theory, implementation, and applications
title_auth	The finite element method: theory, implementation, and applications
title_exact_search	The finite element method: theory, implementation, and applications
title_full	The finite element method: theory, implementation, and applications Mats G. Larson ; Fredrik Bengzon
title_fullStr	The finite element method: theory, implementation, and applications Mats G. Larson ; Fredrik Bengzon
title_full_unstemmed	The finite element method: theory, implementation, and applications Mats G. Larson ; Fredrik Bengzon
title_short	The finite element method:
title_sort	the finite element method theory implementation and applications
title_sub	theory, implementation, and applications
topic	Finite-Elemente-Methode (DE-588)4017233-8 gnd
topic_facet	Finite-Elemente-Methode
url	https://doi.org/10.1007/978-3-642-33287-6 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025785308&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025785308&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV035421282
work_keys_str_mv	AT larsonmatsg thefiniteelementmethodtheoryimplementationandapplications AT bengzonfredrik thefiniteelementmethodtheoryimplementationandapplications

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