Boundary field equation methods for a class of nonlinear problems:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Harlow, Essex, England
Longman [u.a.]
1995
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Pitman research notes in mathematics series
331 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 178 S. graph. Darst. |
| ISBN: | 0582279690 |
Internformat
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| 100 | 1 | |a Gatica, Gabriel N. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Boundary field equation methods for a class of nonlinear problems |c Gabriel N. Gatica and George C. Hsiao |
| 246 | 1 | 3 | |a Boundary-field |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Harlow, Essex, England |b Longman [u.a.] |c 1995 | |
| 300 | |a 178 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 650 | 7 | |a Elliptische differentiaalvergelijkingen |2 gtt | |
| 650 | 7 | |a Eléments - Frontières, Méthode des |2 ram | |
| 650 | 7 | |a Eléments finis, Méthode des |2 ram | |
| 650 | 7 | |a Partiële differentiaalvergelijkingen |2 gtt | |
| 650 | 7 | |a Problèmes aux limites - Solutions numériques |2 ram | |
| 650 | 7 | |a Randwaardeproblemen |2 gtt | |
| 650 | 4 | |a Boundary element methods | |
| 650 | 4 | |a Boundary value problems |x Numerical solutions | |
| 650 | 4 | |a Finite element method | |
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Datensatz im Suchindex
| _version_ | 1804125022868996096 |
|---|---|
| adam_text | Contents
1 The coupling of BEM and FEM for linear problems 1
1.1 Introduction 1
1.2 The basic idea of coupling 4
1.3 One boundary integral equation approach 6
1.4 The exterior Stokes problem 10
1.5 Two boundary integral equations approach 17
1.6 The linear elasticity problem 20
1.7 Quasi symmetric scheme 24
2 Monotone nonlinear problems 31
2.1 Introduction 31
2.2 The nonlocal boundary problem 32
2.3 The weak formulation 38
2.3.1 Preliminaries 38
2.3.2 The weak formulation and the operator equation 41
2.4 Some known results on monotone operators 51
2.5 Existence and uniqueness 55
2.6 Galerkin approximations of the operator equation 61
3 Asymptotic error analysis 67
3.1 Introduction 67
3.2 Preliminaries 67
3.3 Triangulations of the domain and their properties 71
3.4 The finite element discretizations 74
3.4.1 The discrete problem on ftft 75
3.4.2 The discrete problem on Ct 78
3.5 Convergence analysis and error estimates 85
4 An elasto plastic problem 95
4.1 Introduction 95
4.2 A generalized variational formulation 95
4.3 Existence, uniqueness and Galerkin approximations 101
4.4 The elasto plastic interface problem 107
5 Nonmonotone nonlinear problems 128
5.1 Introduction 128
5.2 Some preliminary concepts 129
5.3 The two integral equations approach 131
5.4 The single integral equation approach 140
5.5 An example 148
6 The uncoupling of BEM and FEM for nonlinear problems 150
6.1 Introduction 150
6.2 The uncoupling of BIM and FEM 151
6.3 The uncoupling method for monotone nonlinear problems 155
6.4 The uncoupling method for nonmonotone nonlinear problems 167
References 172
|
| any_adam_object | 1 |
| author | Gatica, Gabriel N. Hsiao, George C. |
| author_GND | (DE-588)10912412X |
| author_facet | Gatica, Gabriel N. Hsiao, George C. |
| author_role | aut aut |
| author_sort | Gatica, Gabriel N. |
| author_variant | g n g gn gng g c h gc gch |
| building | Verbundindex |
| bvnumber | BV010553754 |
| callnumber-first | Q - Science |
| callnumber-label | QA379 |
| callnumber-raw | QA379 |
| callnumber-search | QA379 |
| callnumber-sort | QA 3379 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 880 SK 920 |
| ctrlnum | (OCoLC)32699115 (DE-599)BVBBV010553754 |
| dewey-full | 515/.355 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.355 |
| dewey-search | 515/.355 |
| dewey-sort | 3515 3355 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV010553754 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:54:57Z |
| institution | BVB |
| isbn | 0582279690 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007035591 |
| oclc_num | 32699115 |
| open_access_boolean | |
| owner | DE-12 DE-83 DE-11 |
| owner_facet | DE-12 DE-83 DE-11 |
| physical | 178 S. graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Longman [u.a.] |
| record_format | marc |
| series | Pitman research notes in mathematics series |
| series2 | Pitman research notes in mathematics series |
| spelling | Gatica, Gabriel N. Verfasser aut Boundary field equation methods for a class of nonlinear problems Gabriel N. Gatica and George C. Hsiao Boundary-field 1. publ. Harlow, Essex, England Longman [u.a.] 1995 178 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Pitman research notes in mathematics series 331 Eindige-elementenmethode gtt Elliptische differentiaalvergelijkingen gtt Eléments - Frontières, Méthode des ram Eléments finis, Méthode des ram Partiële differentiaalvergelijkingen gtt Problèmes aux limites - Solutions numériques ram Randwaardeproblemen gtt Boundary element methods Boundary value problems Numerical solutions Finite element method Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Randelemente-Methode (DE-588)4076508-8 gnd rswk-swf Numerische Mathematik (DE-588)4042805-9 gnd rswk-swf Nichtlineares Randwertproblem (DE-588)4129830-5 gnd rswk-swf Randwertproblem (DE-588)4048395-2 gnd rswk-swf Nichtlineares Randwertproblem (DE-588)4129830-5 s Randelemente-Methode (DE-588)4076508-8 s DE-604 Finite-Elemente-Methode (DE-588)4017233-8 s Randwertproblem (DE-588)4048395-2 s 1\p DE-604 Numerische Mathematik (DE-588)4042805-9 s 2\p DE-604 Hsiao, George C. Verfasser (DE-588)10912412X aut Pitman research notes in mathematics series 331 (DE-604)BV000022845 331 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007035591&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Gatica, Gabriel N. Hsiao, George C. Boundary field equation methods for a class of nonlinear problems Pitman research notes in mathematics series Eindige-elementenmethode gtt Elliptische differentiaalvergelijkingen gtt Eléments - Frontières, Méthode des ram Eléments finis, Méthode des ram Partiële differentiaalvergelijkingen gtt Problèmes aux limites - Solutions numériques ram Randwaardeproblemen gtt Boundary element methods Boundary value problems Numerical solutions Finite element method Finite-Elemente-Methode (DE-588)4017233-8 gnd Randelemente-Methode (DE-588)4076508-8 gnd Numerische Mathematik (DE-588)4042805-9 gnd Nichtlineares Randwertproblem (DE-588)4129830-5 gnd Randwertproblem (DE-588)4048395-2 gnd |
| subject_GND | (DE-588)4017233-8 (DE-588)4076508-8 (DE-588)4042805-9 (DE-588)4129830-5 (DE-588)4048395-2 |
| title | Boundary field equation methods for a class of nonlinear problems |
| title_alt | Boundary-field |
| title_auth | Boundary field equation methods for a class of nonlinear problems |
| title_exact_search | Boundary field equation methods for a class of nonlinear problems |
| title_full | Boundary field equation methods for a class of nonlinear problems Gabriel N. Gatica and George C. Hsiao |
| title_fullStr | Boundary field equation methods for a class of nonlinear problems Gabriel N. Gatica and George C. Hsiao |
| title_full_unstemmed | Boundary field equation methods for a class of nonlinear problems Gabriel N. Gatica and George C. Hsiao |
| title_short | Boundary field equation methods for a class of nonlinear problems |
| title_sort | boundary field equation methods for a class of nonlinear problems |
| topic | Eindige-elementenmethode gtt Elliptische differentiaalvergelijkingen gtt Eléments - Frontières, Méthode des ram Eléments finis, Méthode des ram Partiële differentiaalvergelijkingen gtt Problèmes aux limites - Solutions numériques ram Randwaardeproblemen gtt Boundary element methods Boundary value problems Numerical solutions Finite element method Finite-Elemente-Methode (DE-588)4017233-8 gnd Randelemente-Methode (DE-588)4076508-8 gnd Numerische Mathematik (DE-588)4042805-9 gnd Nichtlineares Randwertproblem (DE-588)4129830-5 gnd Randwertproblem (DE-588)4048395-2 gnd |
| topic_facet | Eindige-elementenmethode Elliptische differentiaalvergelijkingen Eléments - Frontières, Méthode des Eléments finis, Méthode des Partiële differentiaalvergelijkingen Problèmes aux limites - Solutions numériques Randwaardeproblemen Boundary element methods Boundary value problems Numerical solutions Finite element method Finite-Elemente-Methode Randelemente-Methode Numerische Mathematik Nichtlineares Randwertproblem Randwertproblem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007035591&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000022845 |
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