Boundary-field equation methods for a class of nonlinear problems

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Hauptverfasser: Gatica, Gabriel N. (VerfasserIn), Hsiao, George C. (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: Harlow Longman 1995
Ausgabe:1. publ.
Schriftenreihe:Pitman research notes in mathematics series 331
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Datensatz im Suchindex

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adam_text 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
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author Gatica, Gabriel N.
Hsiao, George C.
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Hsiao, George C.
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physical 178 S. graph. Darst.
publishDate 1995
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publishDateSort 1995
publisher Longman
record_format marc
series Pitman research notes in mathematics series
series2 Pitman research notes in mathematics series
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
Randwertproblem (DE-588)4048395-2 gnd
Nichtlineares Randwertproblem (DE-588)4129830-5 gnd
Randelemente-Methode (DE-588)4076508-8 gnd
Numerische Mathematik (DE-588)4042805-9 gnd
subject_GND (DE-588)4017233-8
(DE-588)4048395-2
(DE-588)4129830-5
(DE-588)4076508-8
(DE-588)4042805-9
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_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
Randwertproblem (DE-588)4048395-2 gnd
Nichtlineares Randwertproblem (DE-588)4129830-5 gnd
Randelemente-Methode (DE-588)4076508-8 gnd
Numerische Mathematik (DE-588)4042805-9 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
Randwertproblem
Nichtlineares Randwertproblem
Randelemente-Methode
Numerische Mathematik
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
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