Boundary-field equation methods for a class of nonlinear problems:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Harlow
Longman
1995
|
| Edition: | 1. publ. |
| Series: | Pitman research notes in mathematics series
331 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 172 - 178 |
| Physical Description: | 178 S. graph. Darst. |
| ISBN: | 0582279690 |
Staff View
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| 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 | |
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Record in the Search Index
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GABRIEL N GATICA UNIVERSIDAD DE CONCEPCION, CHILE AND GEORGE C HSIAO
UNIVERSITY OF DELAWARE, USA BOUNDARY-FIELD EQUATION METHODS FOR A CLASS
OF NONLINEAR PROBLEMS HUM *** LONGMAN COPUBLISHED IN THE UNITED STATES
WITH JOHN WILEY & SONS INC., NEW YORK. CONTENTS 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 LINEAI- ELASTICITY PROBLEM 20 1.7 QUASI-SYMMETRIC SCHEME 24
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 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 CL^ 75 3.4.2 THE
DISCRETE PROBLEM ON CL 78 3.5 CONVERGENCE ANALYSIS AND ERROR ESTIMATES
85 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 |
| adam_txt |
GABRIEL N GATICA UNIVERSIDAD DE CONCEPCION, CHILE AND GEORGE C HSIAO
UNIVERSITY OF DELAWARE, USA BOUNDARY-FIELD EQUATION METHODS FOR A CLASS
OF NONLINEAR PROBLEMS HUM *** LONGMAN COPUBLISHED IN THE UNITED STATES
WITH JOHN WILEY & SONS INC., NEW YORK. CONTENTS 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 LINEAI- ELASTICITY PROBLEM 20 1.7 QUASI-SYMMETRIC SCHEME 24
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 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 CL^ 75 3.4.2 THE
DISCRETE PROBLEM ON CL 78 3.5 CONVERGENCE ANALYSIS AND ERROR ESTIMATES
85 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 |
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| 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 | BV022133392 |
| callnumber-first | Q - Science |
| callnumber-label | QA379 |
| callnumber-raw | QA379 |
| callnumber-search | QA379 |
| callnumber-sort | QA 3379 |
| callnumber-subject | QA - Mathematics |
| ctrlnum | (OCoLC)32699115 (DE-599)BVBBV022133392 |
| 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 |
| discipline_str_mv | Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV022133392 |
| illustrated | Illustrated |
| index_date | 2024-07-02T16:17:07Z |
| indexdate | 2025-01-30T09:01:07Z |
| institution | BVB |
| isbn | 0582279690 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015348007 |
| oclc_num | 32699115 |
| open_access_boolean | |
| owner | DE-706 |
| owner_facet | DE-706 |
| physical | 178 S. graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Longman |
| 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 1. publ. Harlow Longman 1995 178 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Pitman research notes in mathematics series 331 Literaturverz. S. 172 - 178 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 Randwertproblem (DE-588)4048395-2 gnd rswk-swf Numerische Mathematik (DE-588)4042805-9 gnd rswk-swf Randelemente-Methode (DE-588)4076508-8 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Nichtlineares Randwertproblem (DE-588)4129830-5 gnd rswk-swf Numerische Mathematik (DE-588)4042805-9 s DE-604 Randwertproblem (DE-588)4048395-2 s Nichtlineares Randwertproblem (DE-588)4129830-5 s Finite-Elemente-Methode (DE-588)4017233-8 s 1\p DE-604 Randelemente-Methode (DE-588)4076508-8 s 2\p DE-604 Hsiao, George C. Verfasser (DE-588)10912412X aut Pitman research notes in mathematics series 331 (DE-604)BV000022845 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015348007&sequence=000001&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 Randwertproblem (DE-588)4048395-2 gnd Numerische Mathematik (DE-588)4042805-9 gnd Randelemente-Methode (DE-588)4076508-8 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Nichtlineares Randwertproblem (DE-588)4129830-5 gnd |
| subject_GND | (DE-588)4048395-2 (DE-588)4042805-9 (DE-588)4076508-8 (DE-588)4017233-8 (DE-588)4129830-5 |
| title | Boundary-field equation methods for a class of nonlinear problems |
| 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_exact_search_txtP | 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 Randwertproblem (DE-588)4048395-2 gnd Numerische Mathematik (DE-588)4042805-9 gnd Randelemente-Methode (DE-588)4076508-8 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Nichtlineares Randwertproblem (DE-588)4129830-5 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 Randwertproblem Numerische Mathematik Randelemente-Methode Finite-Elemente-Methode Nichtlineares Randwertproblem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015348007&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000022845 |
| work_keys_str_mv | AT gaticagabrieln boundaryfieldequationmethodsforaclassofnonlinearproblems AT hsiaogeorgec boundaryfieldequationmethodsforaclassofnonlinearproblems |