Regularization methods and finite element approximation of hemivariational inequalities with applications to nonmonotone contact problems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Göttingen
Cuvillier
2012
|
| Ausgabe: | 1. Aufl. |
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | 189 S. graph. Darst. |
| ISBN: | 9783954041800 |
Internformat
MARC
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| 246 | 1 | 3 | |a Regularization methods and finite element approximation of hemi-variational inequalities with applications to nonmonotone contact problems |
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Datensatz im Suchindex
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IMAGE 1
CONTENTS
1 INTRODUCTION 9
2 THEORETICAL BACKGROUND 1 3
2.1 SOME ELEMENTS OF NONSMOOTH ANALYSIS 13
2.2 SOME INEQUALITIES AND PRELIMINARY RESULTS IN FUNCTION SPACES 16
2.3 PSEUDOMONOTONE OPERATORS 19
3 EXISTENCE RESULT AND APPROXIMATION 21
4 UNIQUENESS RESULT 2 7
5 HEMIVARIATIONAL INEQUALITIES 29
5.1 MODELING 29
5.2 A GENERAL DEFINITION OF THE HVI PROBLEM AND SOME REMARKS 33
6 SMOOTHING APPROXIMATION V I A CONVOLUTION 3 7
6.1 THE CASE OF BOUNDED SUPPORT OF THE DENSITY 39
6.2 THE CASE OF INFINITE SUPPORT OF THE DENSITY 41
7 SMOOTHING APPROXIMATION FOR MAXIMUM FUNCTION - 4 3
8 SOME EXAMPLES O F SMOOTHING FUNCTIONS 55
8.1 NN DENSITY FUNCTION 55
8.2 ZANG DENSITY FUNCTION 60
8.3 HPZ DENSITY FUNCTION 64
9 COERCIVE H V I O N T H E BOUNDARY 71
9.1 STATEMENT OF THE PROBLEM 71
HTTP://D-NB.INFO/1026501342
IMAGE 2
9.2 UNIQUENESS RESULT
74
10 APPROXIMATION O F H V I WITH MAXIMUM SUPERPOTENTIAL 7 9 10.1
FORMULATION OF THE PROBLEM 79
10.2 REGULARIZATION METHOD 82
10.3 CONVERGENCE OF THE REGULARIZATION METHOD 93
10.4 SOME A-POSTERIORI ERROR ESTIMATES 102
10.5 PIECEWISE LINEAR FINITE ELEMENT APPROXIMATION 103 10.5.1
PRELIMINARY RESULTS 109
10.5.2 VERIFICATION OF THE HYPOTHESES 115
10.6 SOME ERROR ESTIMATES 120
10.6.1 A CEA-FALK LEMMA FOR HVI 121
10.6.2 ERROR ESTIMATES FOR CONFORMING FEM -. . 122
10.7 PIECEWISE QUADRATIC FINITE ELEMENT APPROXIMATION . . . 129 10.8 THE
CASE / : T X R M - * R 132
11 SEMICOERCIVE H V I 135
12 APPROXIMATION O F H V I ON T H E DOMAIN 139
12.1 PIECEWISE LINEAR FINITE ELEMENT APPROXIMATION 139 12.2 PIECEWISE
QUADRATIC FINITE ELEMENT APPROXIMATION . . . 146 12.3 THE CASE F : 0 . X
R M - * R 148
12.4 THE CASE OF NONQUADRATIC GROWTH OF ENERGY 149
13 APPLICATIONS IN MECHANICS 155
13.1 A FRICTION PROBLEM IN PLANE LINEAR ELASTICITY 155
13.2 AN ADHESIVE CONTACT PROBLEM 158
13.3 A NONMONOTONE SKIN FRICTION PROBLEM IN PLANE ELASTICITY 159
14 NUMERICAL EXAMPLES 161
14.1 BILATERAL CONTACT WITH NONMONOTONE FRICTION 162
14.2 A DELAMINATION PROBLEM 170
14.3 NONMONOTONE UNILATERAL CONTACT WITHOUT FRICTION . . . 180 |
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| author | Ovcharova, Nina |
| author_GND | (DE-588)1027566960 |
| author_facet | Ovcharova, Nina |
| author_role | aut |
| author_sort | Ovcharova, Nina |
| author_variant | n o no |
| building | Verbundindex |
| bvnumber | BV040521290 |
| ctrlnum | (OCoLC)820379851 (DE-599)DNB1026501342 |
| dewey-full | 515.64 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.64 |
| dewey-search | 515.64 |
| dewey-sort | 3515.64 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. Aufl. |
| format | Thesis Book |
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| indexdate | 2024-08-21T00:18:09Z |
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| isbn | 9783954041800 |
| language | English |
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| physical | 189 S. graph. Darst. |
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| spelling | Ovcharova, Nina Verfasser (DE-588)1027566960 aut Regularization methods and finite element approximation of hemivariational inequalities with applications to nonmonotone contact problems Nina Ovcharova Regularization methods and finite element approximation of hemi-variational inequalities with applications to nonmonotone contact problems 1. Aufl. Göttingen Cuvillier 2012 189 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Zugl.: Neubiberg, Univ. der Bundeswehr München,, Diss., 2012 Regularisierungsverfahren (DE-588)4846428-4 gnd rswk-swf Hemivariationsungleichung (DE-588)4564212-6 gnd rswk-swf Kontaktmechanik (DE-588)4798356-5 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Kontaktmechanik (DE-588)4798356-5 s Hemivariationsungleichung (DE-588)4564212-6 s Regularisierungsverfahren (DE-588)4846428-4 s Finite-Elemente-Methode (DE-588)4017233-8 s DE-604 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4154640&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025367581&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ovcharova, Nina Regularization methods and finite element approximation of hemivariational inequalities with applications to nonmonotone contact problems Regularisierungsverfahren (DE-588)4846428-4 gnd Hemivariationsungleichung (DE-588)4564212-6 gnd Kontaktmechanik (DE-588)4798356-5 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd |
| subject_GND | (DE-588)4846428-4 (DE-588)4564212-6 (DE-588)4798356-5 (DE-588)4017233-8 (DE-588)4113937-9 |
| title | Regularization methods and finite element approximation of hemivariational inequalities with applications to nonmonotone contact problems |
| title_alt | Regularization methods and finite element approximation of hemi-variational inequalities with applications to nonmonotone contact problems |
| title_auth | Regularization methods and finite element approximation of hemivariational inequalities with applications to nonmonotone contact problems |
| title_exact_search | Regularization methods and finite element approximation of hemivariational inequalities with applications to nonmonotone contact problems |
| title_full | Regularization methods and finite element approximation of hemivariational inequalities with applications to nonmonotone contact problems Nina Ovcharova |
| title_fullStr | Regularization methods and finite element approximation of hemivariational inequalities with applications to nonmonotone contact problems Nina Ovcharova |
| title_full_unstemmed | Regularization methods and finite element approximation of hemivariational inequalities with applications to nonmonotone contact problems Nina Ovcharova |
| title_short | Regularization methods and finite element approximation of hemivariational inequalities with applications to nonmonotone contact problems |
| title_sort | regularization methods and finite element approximation of hemivariational inequalities with applications to nonmonotone contact problems |
| topic | Regularisierungsverfahren (DE-588)4846428-4 gnd Hemivariationsungleichung (DE-588)4564212-6 gnd Kontaktmechanik (DE-588)4798356-5 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd |
| topic_facet | Regularisierungsverfahren Hemivariationsungleichung Kontaktmechanik Finite-Elemente-Methode Hochschulschrift |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=4154640&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025367581&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT ovcharovanina regularizationmethodsandfiniteelementapproximationofhemivariationalinequalitieswithapplicationstononmonotonecontactproblems |