Regularization methods and finite element approximation of hemivariational inequalities with applications to nonmonotone contact problems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Göttingen
Cuvillier
2012
|
| Edition: | 1. Aufl. |
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | 189 S. graph. Darst. |
| ISBN: | 9783954041800 |
Staff View
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV040521290 | ||
| 003 | DE-604 | ||
| 005 | 20220118 | ||
| 007 | t | ||
| 008 | 121106s2012 gw d||| m||| 00||| eng d | ||
| 015 | |a 12,N41 |2 dnb | ||
| 016 | 7 | |a 1026501342 |2 DE-101 | |
| 020 | |a 9783954041800 |c Kart. : EUR 30.45 (DE), EUR 31.30 (AT) |9 978-3-95404-180-0 | ||
| 024 | 3 | |a 9783954041800 | |
| 035 | |a (OCoLC)820379851 | ||
| 035 | |a (DE-599)DNB1026501342 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c XA-DE-NI | ||
| 049 | |a DE-706 | ||
| 082 | 0 | |a 515.64 |2 22/ger | |
| 084 | |a 510 |2 sdnb | ||
| 100 | 1 | |a Ovcharova, Nina |e Verfasser |0 (DE-588)1027566960 |4 aut | |
| 245 | 1 | 0 | |a Regularization methods and finite element approximation of hemivariational inequalities with applications to nonmonotone contact problems |c Nina Ovcharova |
| 246 | 1 | 3 | |a Regularization methods and finite element approximation of hemi-variational inequalities with applications to nonmonotone contact problems |
| 250 | |a 1. Aufl. | ||
| 264 | 1 | |a Göttingen |b Cuvillier |c 2012 | |
| 300 | |a 189 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 502 | |a Zugl.: Neubiberg, Univ. der Bundeswehr München,, Diss., 2012 | ||
| 650 | 0 | 7 | |a Regularisierungsverfahren |0 (DE-588)4846428-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Hemivariationsungleichung |0 (DE-588)4564212-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Kontaktmechanik |0 (DE-588)4798356-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Finite-Elemente-Methode |0 (DE-588)4017233-8 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 689 | 0 | 0 | |a Kontaktmechanik |0 (DE-588)4798356-5 |D s |
| 689 | 0 | 1 | |a Hemivariationsungleichung |0 (DE-588)4564212-6 |D s |
| 689 | 0 | 2 | |a Regularisierungsverfahren |0 (DE-588)4846428-4 |D s |
| 689 | 0 | 3 | |a Finite-Elemente-Methode |0 (DE-588)4017233-8 |D s |
| 689 | 0 | |5 DE-604 | |
| 856 | 4 | 2 | |m X:MVB |q text/html |u http://deposit.dnb.de/cgi-bin/dokserv?id=4154640&prov=M&dok_var=1&dok_ext=htm |3 Inhaltstext |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u 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 |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-025367581 | |
Record in the Search Index
| _version_ | 1807954205053288448 |
|---|---|
| adam_text |
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 |
| any_adam_object | 1 |
| 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 |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 c 4500</leader><controlfield tag="001">BV040521290</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20220118</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">121106s2012 gw d||| m||| 00||| eng d</controlfield><datafield tag="015" ind1=" " ind2=" "><subfield code="a">12,N41</subfield><subfield code="2">dnb</subfield></datafield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">1026501342</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783954041800</subfield><subfield code="c">Kart. : EUR 30.45 (DE), EUR 31.30 (AT)</subfield><subfield code="9">978-3-95404-180-0</subfield></datafield><datafield tag="024" ind1="3" ind2=" "><subfield code="a">9783954041800</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)820379851</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)DNB1026501342</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">XA-DE-NI</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-706</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.64</subfield><subfield code="2">22/ger</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">510</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Ovcharova, Nina</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1027566960</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Regularization methods and finite element approximation of hemivariational inequalities with applications to nonmonotone contact problems</subfield><subfield code="c">Nina Ovcharova</subfield></datafield><datafield tag="246" ind1="1" ind2="3"><subfield code="a">Regularization methods and finite element approximation of hemi-variational inequalities with applications to nonmonotone contact problems</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">1. Aufl.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Göttingen</subfield><subfield code="b">Cuvillier</subfield><subfield code="c">2012</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">189 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="502" ind1=" " ind2=" "><subfield code="a">Zugl.: Neubiberg, Univ. der Bundeswehr München,, Diss., 2012</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Regularisierungsverfahren</subfield><subfield code="0">(DE-588)4846428-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Hemivariationsungleichung</subfield><subfield code="0">(DE-588)4564212-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kontaktmechanik</subfield><subfield code="0">(DE-588)4798356-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Finite-Elemente-Methode</subfield><subfield code="0">(DE-588)4017233-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4113937-9</subfield><subfield code="a">Hochschulschrift</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Kontaktmechanik</subfield><subfield code="0">(DE-588)4798356-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Hemivariationsungleichung</subfield><subfield code="0">(DE-588)4564212-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Regularisierungsverfahren</subfield><subfield code="0">(DE-588)4846428-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="3"><subfield code="a">Finite-Elemente-Methode</subfield><subfield code="0">(DE-588)4017233-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">X:MVB</subfield><subfield code="q">text/html</subfield><subfield code="u">http://deposit.dnb.de/cgi-bin/dokserv?id=4154640&prov=M&dok_var=1&dok_ext=htm</subfield><subfield code="3">Inhaltstext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">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</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-025367581</subfield></datafield></record></collection> |
| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV040521290 |
| illustrated | Illustrated |
| indexdate | 2024-08-21T00:18:09Z |
| institution | BVB |
| isbn | 9783954041800 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025367581 |
| oclc_num | 820379851 |
| open_access_boolean | |
| owner | DE-706 |
| owner_facet | DE-706 |
| physical | 189 S. graph. Darst. |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | Cuvillier |
| record_format | marc |
| 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 |