The finite element method:: theory, implementation, and applications
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Heidelberg ; New York ; Dodrecht ; London
Springer
2013
|
| Schriftenreihe: | Texts in computational science and engineering
10 |
| Schlagworte: | |
| Online-Zugang: | BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource (xvii, 385 Seiten) |
| ISBN: | 9783642332876 |
| DOI: | 10.1007/978-3-642-33287-6 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804150145271463936 |
|---|---|
| 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.
|
| any_adam_object | 1 |
| author | Larson, Mats G. 1968- Bengzon, Fredrik |
| author_GND | (DE-588)173402216 (DE-588)1031543570 |
| author_facet | Larson, Mats G. 1968- Bengzon, Fredrik |
| author_role | aut aut |
| author_sort | Larson, Mats G. 1968- |
| author_variant | m g l mg mgl f b fb |
| building | Verbundindex |
| bvnumber | BV040805275 |
| classification_rvk | SK 910 SK 920 SK 540 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA |
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| dewey-full | 004 |
| dewey-hundreds | 000 - Computer science, information, general works |
| dewey-ones | 004 - Computer science |
| dewey-raw | 004 |
| dewey-search | 004 |
| dewey-sort | 14 |
| dewey-tens | 000 - Computer science, information, general works |
| discipline | Informatik Mathematik |
| doi_str_mv | 10.1007/978-3-642-33287-6 |
| format | Electronic eBook |
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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 |
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