Finite element methods for engineering sciences: theoretical approach and problem solving techniques
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| Main Author: | |
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| Format: | Book |
| Language: | English French |
| Published: |
Berlin [u.a.]
Springer
2008
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 251 |
| Physical Description: | XII, 255 S. Ill., graph. Darst. |
| ISBN: | 9783540763420 3540763422 |
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Record in the Search Index
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| adam_text | GESCANNT DURCH CONTENTS 1 SUMMARY OF COURSES ON FINITE ELEMENTS 1 1 .1
SOME ESSENTIAL MATHEMATICAL TOOLS 1 1.1.1 ADAPTED FUNCTIONAL SPACES AND
THEIR PROPERTIES 1 1.1.2 THE ESSENTIAL INITIAL RESULTS NEVER TO BE EVER
FORGOTTEN! ... 3 1.1.3 A SET OF FUNDAMENTAL INEQUALITIES 4 1.1.4
ELEMENTARY CONCEPTS ON DISTRIBUTIONS 6 1.2 NATURE OF THE FINITE ELEMENTS
METHOD 18 1.2.1 FOR MATHEMATICAL MODELLING 18 1.2.2 STRUCTURE AND
FUNCTIONAL FRAMEWORK OF EQUATIONS HAVING PARTIAL DERIVATIVES 20 1.2.3
CONSTRUCTION OF A VARIATIONAL FORMULATION 21 1.2.4 EXISTENCE, UNIQUENESS
AND REGULARITY OF A WEAK SOLUTION .. 24 1.2.5 EQUIVALENCE BETWEEN STRONG
AND WEAK FORMULATIONS 31 1.2.6 METHODOLOGY AND APPROXIMATION CASCADES 35
2 SOME FUNDAMENTAL CLASSES OF FINITE ELEMENTS 39 2.1 VARIATIONAL
FORMULATION AND APPROXIMATIONS 39 2.2 CONVERGENCE OF THE FINITE ELEMENTS
METHOD 43 2.3 DESCRIPTION OF ORDINARY FINITE ELEMENTS 47 2.3.1 FINITE
ELEMENTS WITH A SPACE VARIABLE 48 2.3.2 FINITE ELEMENTS WITH TWO SPACE
VARIABLES 51 2.3.3 FINITE ELEMENTS WITH THREE SPACE VARIABLES 60 3
VARIATIONAL FORMULATIONS 63 3.1 DIRICHLET S PROBLEM 64 3.1.1 STATEMENT
64 3.1.2 SOLUTION 67 3.2 THE NEUMANN PROBLEM 76 3.2.1 STATEMENT 76 3.2.2
SOLUTION 79 BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/990700348
DIGITALISIERT DURCH XII CONTENTS 3.3 THE FOURIER-DIRICHLET PROBLEM 89
3.3.1 STATEMENT 89 3.3.2 SOLUTION 92 3.4 PERIODIC PROBLEM 102 3.4.1
STATEMENT 102 3.4.2 SOLUTION 105 4 FINITE ELEMENTS IN DEFORMABLE SOLID
BODY MECHANICS 113 4.1 MIXED STRESS-DISPLACEMENT PROBLEMS 113 4.1.1
STATEMENT 113 4.1.2 SOLUTION 120 4.2 CLAMPED PLATE 134 4.2.1 STATEMENT
134 4.2.2 SOLUTION 139 5 FINITE ELEMENTS APPLIED TO STRENGTH OF
MATERIALS 147 5.1 BEAM SUBJECTED TO SIMPLE TRACTION 148 5.1.1 CASE OF
ARESTRAINT 148 5.1.2 CASE OF AN ELASTIC SUPPORT 151 5.2 BEAM SUBJECT TO
SIMPLE BENDING 168 5.2.1 BEAM FITTED WITH A RESTRAINT AND HAVING A
FREELY MOVABLE BEARING 168 5.2.2 CLAMPED-CLAMPED BEAM - EULER-BERNOULLI
THEORY 190 5.2.3 SOLUTION 196 6 FINITE ELEMENTS APPLIED TO NON LINEAR
PROBLEMS 211 6.1 VISCOUS BURGERS EQUATION 211 6.2 SOLUTION 215 6.3
NON-LINEAR INTEGRO-DIFFERENTIAL EQUATION 228 6.3.1 STATEMENT 228 6.3.2
SOLUTION 231 6.4 RICCATI DIFFERENTIAL EQUATION 240 6.4.1 STATEMENT 240
6.4.2 SOLUTION 243 REFERENCES 251 INDEX 253
|
| adam_txt |
GESCANNT DURCH CONTENTS 1 SUMMARY OF COURSES ON FINITE ELEMENTS 1 1 .1
SOME ESSENTIAL MATHEMATICAL TOOLS 1 1.1.1 ADAPTED FUNCTIONAL SPACES AND
THEIR PROPERTIES 1 1.1.2 THE ESSENTIAL INITIAL RESULTS NEVER TO BE EVER
FORGOTTEN! . 3 1.1.3 A SET OF FUNDAMENTAL INEQUALITIES 4 1.1.4
ELEMENTARY CONCEPTS ON DISTRIBUTIONS 6 1.2 NATURE OF THE FINITE ELEMENTS
METHOD 18 1.2.1 FOR MATHEMATICAL MODELLING 18 1.2.2 STRUCTURE AND
FUNCTIONAL FRAMEWORK OF EQUATIONS HAVING PARTIAL DERIVATIVES 20 1.2.3
CONSTRUCTION OF A VARIATIONAL FORMULATION 21 1.2.4 EXISTENCE, UNIQUENESS
AND REGULARITY OF A WEAK SOLUTION . 24 1.2.5 EQUIVALENCE BETWEEN STRONG
AND WEAK FORMULATIONS 31 1.2.6 METHODOLOGY AND APPROXIMATION CASCADES 35
2 SOME FUNDAMENTAL CLASSES OF FINITE ELEMENTS 39 2.1 VARIATIONAL
FORMULATION AND APPROXIMATIONS 39 2.2 CONVERGENCE OF THE FINITE ELEMENTS
METHOD 43 2.3 DESCRIPTION OF ORDINARY FINITE ELEMENTS 47 2.3.1 FINITE
ELEMENTS WITH A SPACE VARIABLE 48 2.3.2 FINITE ELEMENTS WITH TWO SPACE
VARIABLES 51 2.3.3 FINITE ELEMENTS WITH THREE SPACE VARIABLES 60 3
VARIATIONAL FORMULATIONS 63 3.1 DIRICHLET'S PROBLEM 64 3.1.1 STATEMENT
64 3.1.2 SOLUTION 67 3.2 THE NEUMANN PROBLEM 76 3.2.1 STATEMENT 76 3.2.2
SOLUTION 79 BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/990700348
DIGITALISIERT DURCH XII CONTENTS 3.3 THE FOURIER-DIRICHLET PROBLEM 89
3.3.1 STATEMENT 89 3.3.2 SOLUTION 92 3.4 PERIODIC PROBLEM 102 3.4.1
STATEMENT 102 3.4.2 SOLUTION 105 4 FINITE ELEMENTS IN DEFORMABLE SOLID
BODY MECHANICS 113 4.1 MIXED STRESS-DISPLACEMENT PROBLEMS 113 4.1.1
STATEMENT 113 4.1.2 SOLUTION 120 4.2 CLAMPED PLATE 134 4.2.1 STATEMENT
134 4.2.2 SOLUTION 139 5 FINITE ELEMENTS APPLIED TO STRENGTH OF
MATERIALS 147 5.1 BEAM SUBJECTED TO SIMPLE TRACTION 148 5.1.1 CASE OF
ARESTRAINT 148 5.1.2 CASE OF AN ELASTIC SUPPORT 151 5.2 BEAM SUBJECT TO
SIMPLE BENDING 168 5.2.1 BEAM FITTED WITH A RESTRAINT AND HAVING A
FREELY MOVABLE BEARING 168 5.2.2 CLAMPED-CLAMPED BEAM - EULER-BERNOULLI
THEORY 190 5.2.3 SOLUTION 196 6 FINITE ELEMENTS APPLIED TO NON LINEAR
PROBLEMS 211 6.1 VISCOUS BURGERS EQUATION 211 6.2 SOLUTION 215 6.3
NON-LINEAR INTEGRO-DIFFERENTIAL EQUATION 228 6.3.1 STATEMENT 228 6.3.2
SOLUTION 231 6.4 RICCATI DIFFERENTIAL EQUATION 240 6.4.1 STATEMENT 240
6.4.2 SOLUTION 243 REFERENCES 251 INDEX 253 |
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| dewey-full | 620.00151825 |
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| discipline | Technik Mathematik |
| discipline_str_mv | Technik Mathematik |
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| index_date | 2024-07-02T19:40:27Z |
| indexdate | 2024-07-09T21:10:46Z |
| institution | BVB |
| isbn | 9783540763420 3540763422 |
| language | English French |
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| physical | XII, 255 S. Ill., graph. Darst. |
| publishDate | 2008 |
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| publisher | Springer |
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| spelling | Chaskalovic, Joel Verfasser aut Méthode des éléments finis pour les sciences de l'ingénieur Finite element methods for engineering sciences theoretical approach and problem solving techniques J. Chaskalovic Berlin [u.a.] Springer 2008 XII, 255 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 251 Engineering mathematics Finite element method Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Ingenieurwissenschaften (DE-588)4137304-2 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 s Ingenieurwissenschaften (DE-588)4137304-2 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016292545&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Chaskalovic, Joel Finite element methods for engineering sciences theoretical approach and problem solving techniques Engineering mathematics Finite element method Finite-Elemente-Methode (DE-588)4017233-8 gnd Ingenieurwissenschaften (DE-588)4137304-2 gnd |
| subject_GND | (DE-588)4017233-8 (DE-588)4137304-2 |
| title | Finite element methods for engineering sciences theoretical approach and problem solving techniques |
| title_alt | Méthode des éléments finis pour les sciences de l'ingénieur |
| title_auth | Finite element methods for engineering sciences theoretical approach and problem solving techniques |
| title_exact_search | Finite element methods for engineering sciences theoretical approach and problem solving techniques |
| title_exact_search_txtP | Finite element methods for engineering sciences theoretical approach and problem solving techniques |
| title_full | Finite element methods for engineering sciences theoretical approach and problem solving techniques J. Chaskalovic |
| title_fullStr | Finite element methods for engineering sciences theoretical approach and problem solving techniques J. Chaskalovic |
| title_full_unstemmed | Finite element methods for engineering sciences theoretical approach and problem solving techniques J. Chaskalovic |
| title_short | Finite element methods for engineering sciences |
| title_sort | finite element methods for engineering sciences theoretical approach and problem solving techniques |
| title_sub | theoretical approach and problem solving techniques |
| topic | Engineering mathematics Finite element method Finite-Elemente-Methode (DE-588)4017233-8 gnd Ingenieurwissenschaften (DE-588)4137304-2 gnd |
| topic_facet | Engineering mathematics Finite element method Finite-Elemente-Methode Ingenieurwissenschaften |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016292545&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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