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Boundary integral equations:

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Bibliographic Details
Main Authors:	Hsiao, George C. (Author), Wendland, Wolfgang L. 1936- (Author)
Format:	Book
Language:	English
Published:	Berlin [u.a.] Springer 2008
Series:	Applied mathematical sciences 164
Subjects:	Boundary element methods Integral equations Randintegraloperator Elliptisches Randwertproblem Randelemente-Methode
Online Access:	Inhaltsverzeichnis Inhaltsverzeichnis
Item Description:	Literaturverz. S. 598 - 612
Physical Description:	XIX, 618 S. graph. Darst.
ISBN:	9783540152842 9783540685456

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MARC


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Record in the Search Index

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adam_text	GESCANNT DURCH TABLE OF CONTENTS PREFACE VII 1. INTRODUCTION 1 1.1 THE GREEN REPRESENTATION FORMULA 1 1.2 BOUNDARY POTENTIALS AND CALDERON'S PROJECTOR 3 1.3 BOUNDARY INTEGRAL EQUATIONS 10 1.3.1 THE DIRICHLET PROBLEM 11 1.3.2 THE NEUMANN PROBLEM 12 1.4 EXTERIOR PROBLEMS 13 1.4.1 THE EXTERIOR DIRICHLET PROBLEM 13 1.4.2 THE EXTERIOR NEUMANN PROBLEM 15 1.5 REMARKS 19 2. BOUNDARY INTEGRAL EQUATIONS 25 2.1 THE HELMHOLTZ EQUATION 25 2.1.1 LOW FREQUENCY BEHAVIOUR 31 2.2 THE LAME SYSTEM 45 2.2.1 THE INTERIOR DISPLACEMENT PROBLEM 47 2.2.2 THE INTERIOR TRACTION PROBLEM 55 2.2.3 SOME EXTERIOR FUNDAMENTAL PROBLEMS 56 2.2.4 THE INCOMPRESSIBLE MATERIAL 61 2.3 THE STOKES EQUATIONS 62 2.3.1 HYDRODYNAMIC POTENTIALS 65 2.3.2 THE STOKES BOUNDARY VALUE PROBLEMS 66 2.3.3 THE INCOMPRESSIBLE MATERIAL * REVISITED 75 2.4 THE BIHARMONIC EQUATION 79 2.4.1 CALDERON'S PROJECTOR 83 2.4.2 BOUNDARY VALUE PROBLEMS AND BOUNDARY INTEGRAL EQUATIONS 85 2.5 REMARKS 91 3. REPRESENTATION FORMULAE 95 3.1 CLASSICAL FUNCTION SPACES AND DISTRIBUTIONS 95 3.2 HADAMARD'S FINITE PART INTEGRALS 101 BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/989675939 DIGITALISIERT DURCH * * * * * * * * * INDEX 613 TABLE OF CONTENTS XIX 9.3.2 THE HYPERSINGULAR OPERATOR FOR THE LAME SYSTEM . 531 9.3.3 THE HYPERSINGULAR OPERATOR FOR THE STOKES SYSTEM . 535 9.4 DERIVATIVES OF BOUNDARY POTENTIALS 535 9.4.1 DERIVATIVES OF THE SOLUTION TO THE HELMHOLTZ EQUATION 541 9.4.2 COMPUTATION OF STRESS AND STRAIN ON THE BOUNDARY FOR THE LAME SYSTEM 543 9.5 REMARKS 547 10. BOUNDARY INTEGRAL EQUATIONS ON CURVES IN IR 2 549 10.1 FOURIER SERIES REPRESENTATION OF THE BASIC OPERATORS 550 10.2 THE FOURIER SERIES REPRESENTATION OF PERIODIC OPERATORS A E C%(F) 556 10.3 ELLIPTICITY CONDITIONS FOR PERIODIC OPERATORS ONT 562 10.3.1 SCALAR EQUATIONS 563 10.3.2 SYSTEMS OF EQUATIONS 568 10.3.3 MULTIPLY CONNECTED DOMAINS 572 10.4 FOURIER SERIES REPRESENTATION OF SOME PARTICULAR OPERATORS . 574 10.4.1 THE HELMHOLTZ EQUATION 574 10.4.2 THE LAME SYSTEM 578 10.4.3 THE STOKES SYSTEM 581 10.4.4 THE BIHARMONIC EQUATION 582 10.5 REMARKS 591 A. DIFFERENTIAL OPERATORS IN LOCAL COORDINATES WITH MINIMAL DIFFERENTIABILITY 593 REFERENCES 599
adam_txt	GESCANNT DURCH TABLE OF CONTENTS PREFACE VII 1. INTRODUCTION 1 1.1 THE GREEN REPRESENTATION FORMULA 1 1.2 BOUNDARY POTENTIALS AND CALDERON'S PROJECTOR 3 1.3 BOUNDARY INTEGRAL EQUATIONS 10 1.3.1 THE DIRICHLET PROBLEM 11 1.3.2 THE NEUMANN PROBLEM 12 1.4 EXTERIOR PROBLEMS 13 1.4.1 THE EXTERIOR DIRICHLET PROBLEM 13 1.4.2 THE EXTERIOR NEUMANN PROBLEM 15 1.5 REMARKS 19 2. BOUNDARY INTEGRAL EQUATIONS 25 2.1 THE HELMHOLTZ EQUATION 25 2.1.1 LOW FREQUENCY BEHAVIOUR 31 2.2 THE LAME SYSTEM 45 2.2.1 THE INTERIOR DISPLACEMENT PROBLEM 47 2.2.2 THE INTERIOR TRACTION PROBLEM 55 2.2.3 SOME EXTERIOR FUNDAMENTAL PROBLEMS 56 2.2.4 THE INCOMPRESSIBLE MATERIAL 61 2.3 THE STOKES EQUATIONS 62 2.3.1 HYDRODYNAMIC POTENTIALS 65 2.3.2 THE STOKES BOUNDARY VALUE PROBLEMS 66 2.3.3 THE INCOMPRESSIBLE MATERIAL * REVISITED 75 2.4 THE BIHARMONIC EQUATION 79 2.4.1 CALDERON'S PROJECTOR 83 2.4.2 BOUNDARY VALUE PROBLEMS AND BOUNDARY INTEGRAL EQUATIONS 85 2.5 REMARKS 91 3. REPRESENTATION FORMULAE 95 3.1 CLASSICAL FUNCTION SPACES AND DISTRIBUTIONS 95 3.2 HADAMARD'S FINITE PART INTEGRALS 101 BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/989675939 DIGITALISIERT DURCH * * * * * * * * * INDEX 613 TABLE OF CONTENTS XIX 9.3.2 THE HYPERSINGULAR OPERATOR FOR THE LAME SYSTEM . 531 9.3.3 THE HYPERSINGULAR OPERATOR FOR THE STOKES SYSTEM . 535 9.4 DERIVATIVES OF BOUNDARY POTENTIALS 535 9.4.1 DERIVATIVES OF THE SOLUTION TO THE HELMHOLTZ EQUATION 541 9.4.2 COMPUTATION OF STRESS AND STRAIN ON THE BOUNDARY FOR THE LAME SYSTEM 543 9.5 REMARKS 547 10. BOUNDARY INTEGRAL EQUATIONS ON CURVES IN IR 2 549 10.1 FOURIER SERIES REPRESENTATION OF THE BASIC OPERATORS 550 10.2 THE FOURIER SERIES REPRESENTATION OF PERIODIC OPERATORS A E C%(F) 556 10.3 ELLIPTICITY CONDITIONS FOR PERIODIC OPERATORS ONT 562 10.3.1 SCALAR EQUATIONS 563 10.3.2 SYSTEMS OF EQUATIONS 568 10.3.3 MULTIPLY CONNECTED DOMAINS 572 10.4 FOURIER SERIES REPRESENTATION OF SOME PARTICULAR OPERATORS . 574 10.4.1 THE HELMHOLTZ EQUATION 574 10.4.2 THE LAME SYSTEM 578 10.4.3 THE STOKES SYSTEM 581 10.4.4 THE BIHARMONIC EQUATION 582 10.5 REMARKS 591 A. DIFFERENTIAL OPERATORS IN LOCAL COORDINATES WITH MINIMAL DIFFERENTIABILITY 593 REFERENCES 599
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author	Hsiao, George C. Wendland, Wolfgang L. 1936-
author_GND	(DE-588)10912412X (DE-588)109122437
author_facet	Hsiao, George C. Wendland, Wolfgang L. 1936-
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ctrlnum	(OCoLC)226976838 (DE-599)DNB989675939
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dewey-ones	515 - Analysis
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spelling	Hsiao, George C. Verfasser (DE-588)10912412X aut Boundary integral equations George C. Hsiao ; Wolfgang L. Wendland Berlin [u.a.] Springer 2008 XIX, 618 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Applied mathematical sciences 164 Literaturverz. S. 598 - 612 Boundary element methods Integral equations Randintegraloperator (DE-588)4273779-5 gnd rswk-swf Elliptisches Randwertproblem (DE-588)4193399-0 gnd rswk-swf Randelemente-Methode (DE-588)4076508-8 gnd rswk-swf Randintegraloperator (DE-588)4273779-5 s Elliptisches Randwertproblem (DE-588)4193399-0 s Randelemente-Methode (DE-588)4076508-8 s 1\p DE-604 DE-604 Wendland, Wolfgang L. 1936- Verfasser (DE-588)109122437 aut Applied mathematical sciences 164 (DE-604)BV000005274 164 http://www.gbv.de/dms/bs/toc/556037472.pdf lizenzfrei Inhaltsverzeichnis DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016662022&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
spellingShingle	Hsiao, George C. Wendland, Wolfgang L. 1936- Boundary integral equations Applied mathematical sciences Boundary element methods Integral equations Randintegraloperator (DE-588)4273779-5 gnd Elliptisches Randwertproblem (DE-588)4193399-0 gnd Randelemente-Methode (DE-588)4076508-8 gnd
subject_GND	(DE-588)4273779-5 (DE-588)4193399-0 (DE-588)4076508-8
title	Boundary integral equations
title_auth	Boundary integral equations
title_exact_search	Boundary integral equations
title_exact_search_txtP	Boundary integral equations
title_full	Boundary integral equations George C. Hsiao ; Wolfgang L. Wendland
title_fullStr	Boundary integral equations George C. Hsiao ; Wolfgang L. Wendland
title_full_unstemmed	Boundary integral equations George C. Hsiao ; Wolfgang L. Wendland
title_short	Boundary integral equations
title_sort	boundary integral equations
topic	Boundary element methods Integral equations Randintegraloperator (DE-588)4273779-5 gnd Elliptisches Randwertproblem (DE-588)4193399-0 gnd Randelemente-Methode (DE-588)4076508-8 gnd
topic_facet	Boundary element methods Integral equations Randintegraloperator Elliptisches Randwertproblem Randelemente-Methode
url	http://www.gbv.de/dms/bs/toc/556037472.pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016662022&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000005274
work_keys_str_mv	AT hsiaogeorgec boundaryintegralequations AT wendlandwolfgangl boundaryintegralequations

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