Boundary integral equations:
Gespeichert in:
Hauptverfasser: | , |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Berlin [u.a.]
Springer
2008
|
Schriftenreihe: | Applied mathematical sciences
164 |
Schlagworte: | |
Online-Zugang: | lizenzfrei Inhaltsverzeichnis |
Beschreibung: | Literaturverz. S. 598 - 612 |
Beschreibung: | XIX, 618 S. graph. Darst. |
ISBN: | 9783540152842 9783540685456 |
Internformat
MARC
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100 | 1 | |a Hsiao, George C. |e Verfasser |0 (DE-588)10912412X |4 aut | |
245 | 1 | 0 | |a Boundary integral equations |c George C. Hsiao ; Wolfgang L. Wendland |
264 | 1 | |a Berlin [u.a.] |b Springer |c 2008 | |
300 | |a XIX, 618 S. |b graph. Darst. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
490 | 1 | |a Applied mathematical sciences |v 164 | |
500 | |a Literaturverz. S. 598 - 612 | ||
650 | 4 | |a Boundary element methods | |
650 | 4 | |a Integral equations | |
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650 | 0 | 7 | |a Elliptisches Randwertproblem |0 (DE-588)4193399-0 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
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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- |
author_role | aut aut |
author_sort | Hsiao, George C. |
author_variant | g c h gc gch w l w wl wlw |
building | Verbundindex |
bvnumber | BV023479845 |
callnumber-first | Q - Science |
callnumber-label | QA1 |
callnumber-raw | QA1 |
callnumber-search | QA1 |
callnumber-sort | QA 11 |
callnumber-subject | QA - Mathematics |
classification_rvk | SK 910 SK 920 |
classification_tum | MAT 450f MAT 674f MAT 354f |
ctrlnum | (OCoLC)226976838 (DE-599)DNB989675939 |
dewey-full | 515.45 515.723 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515.45 515.723 |
dewey-search | 515.45 515.723 |
dewey-sort | 3515.45 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
discipline_str_mv | Mathematik |
format | Book |
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id | DE-604.BV023479845 |
illustrated | Illustrated |
index_date | 2024-07-02T21:37:34Z |
indexdate | 2025-01-30T09:01:08Z |
institution | BVB |
isbn | 9783540152842 9783540685456 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016662022 |
oclc_num | 226976838 |
open_access_boolean | |
owner | DE-824 DE-703 DE-83 DE-91G DE-BY-TUM DE-706 DE-20 |
owner_facet | DE-824 DE-703 DE-83 DE-91G DE-BY-TUM DE-706 DE-20 |
physical | XIX, 618 S. graph. Darst. |
publishDate | 2008 |
publishDateSearch | 2008 |
publishDateSort | 2008 |
publisher | Springer |
record_format | marc |
series | Applied mathematical sciences |
series2 | Applied mathematical sciences |
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 |