Multiscale finite element methods: theory and applications
Gespeichert in:
| Hauptverfasser: | , |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer
[2009]
|
| Schriftenreihe: | Surveys and tutorials in the applied mathematical sciences
volume 4 |
| Schlagworte: | |
| Online-Zugang: | BTU01 TUM01 UBA01 UBM01 UBT01 UER01 UPA01 URL des Erstveröffentlichers Inhaltsverzeichnis |
| Beschreibung: | 1 Online-Ressource (XII, 234 Seiten) Illustrationen, Diagramme |
| ISBN: | 9780387094960 |
| DOI: | 10.1007/978-0-387-09496-0 |
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Datensatz im Suchindex
| _version_ | 1804140680346337280 |
|---|---|
| adam_text | YALCHIN EFENDIEV YY THOMAS Y. HOU
MULTISCALE FINITE ELEMENT
METHODS
THEORY AND APPLICATIONS
SPRINGE
R
CONTENT
S
1 INTRODUCTIO
N 1
1.1 CHALLENGES AN
D MOTIVATIO
N 1
1.2 LITERATUR
E REVIEW 6
1.3 OVERVIEW OF TH
E CONTEN
T OF TH
E BOO
K 10
2 MULTISCAL
E FINITE ELEMEN
T METHOD
S FOR LINEA
R PROBLEM
S AN
D
OVERVIE
W 13
2.1 SUMMAR
Y 13
2.2 INTRODUCTIO
N T
O MULTISCAL
E FINITE ELEMENT METHOD
S 13
2.3 REDUCIN
G BOUNDAR
Y EFFECTS 20
2.3.1 MOTIVATIO
N 20
2.3.2 OVERSAMPLIN
G TECHNIQU
E 22
2.4 GENERALIZATIO
N OF MSFEM
: A LOOK FORWARD 23
2.5 BRIEF OVERVIEW OF VARIOUS GLOBAL COUPLINGS OF MULTISCAL
E BASI
S
FUNCTIONS 25
2.5.1 MULTISCAL
E FINITE VOLUME (MSFV
) AN
D MULTISCAL
E FINITE
VOLUME ELEMENT METHO
D (MSFVEM
) 25
2.5.2 MIXED MULTISCAL
E FINITE ELEMENT METHO
D 27
2.6 MSFE
M FOR PROBLEM
S WIT
H SCALE SEPARATIO
N 31
2.7 EXTENSIO
N OF MSFE
M T
O PARABOLI
C PROBLEM
S 33
2.8 COMPARISO
N T
O OTHE
R MULTISCAL
E METHOD
S 34
2.9 PERFORMANC
E AN
D IMPLEMENTATIO
N ISSUES 38
2.9.1 COST AN
D PERFORMANC
E 39
2.9.2 CONVERGENCE AN
D ACCURAC
Y 40
2.9.3 COARSE-GRID CHOICE 41
2.10 A
N APPLICATIO
N T
O TWO-PHAS
E FLOW 41
2.11 DISCUSSIONS 45
3 MULTISCAL
E FINITE ELEMEN
T METHOD
S FOR NONLINEA
R EQUATION
S . 47
3.1 MSFE
M FOR NONLINEA
R PROBLEMS
. INTRODUCTIO
N 47
3.2 MULTISCAL
E FINITE VOLUME ELEMENT METHO
D (MSFVEM
) 52
CONTENTS
3.3 EXAMPLE
S OF VH 53
3.4 RELATIO
N T
O UPSCALIN
G METHOD
S 54
3.5 MULTISCAL
E FINITE ELEMENT METHOD
S FOR NONLINEA
R PARABOLI
C
EQUATION
S 55
3.6 SUMMAR
Y OF CONVERGENCE OF MSFE
M FOR NONLINEA
R PARTIA
L
DIFFERENTIAL EQUATION
S 58
3.7 NUMERICA
L RESULT
S 59
3.8 DISCUSSIONS 65
MULTISCAL
E FINITE ELEMEN
T METHOD
S USIN
G LIMITE
D GLOBA
L
INFORMATIO
N 67
4.1 MOTIVATIO
N 67
4.1.1 A MOTIVATIN
G NUMERICA
L EXAMPL
E 69
4.2 MIXED MULTISCAL
E FINITE ELEMENT METHOD
S USIN
G LIMITE
D GLOBAL
INFORMATION 71
4.2.1 ELLIPTI
C EQUATION
S 71
4.2.2 PARABOLI
C EQUATION
S 73
4.2.3 NUMERICA
L RESULT
S 75
4.3 GALERKI
N MULTISCAL
E FINITE ELEMENT METHOD
S USIN
G LIMITE
D
GLOBAL INFORMATIO
N 84
4.3.1 A SPECIAL CASE 84
4.3.2 GENERA
L CASE 85
4.3.3 NUMERICA
L RESULT
S 86
4.4 TH
E US
E OF APPROXIMAT
E GLOBAL INFORMATIO
N 89
4.4.1 ITERATIV
E MSFE
M 90
4.4.2 TH
E USE OF APPROXIMAT
E GLOBAL INFORMATIO
N 91
4.5 DISCUSSIONS 92
APPLICATION
S O
F MULTISCAL
E FINITE ELEMEN
T METHOD
S 95
5.1 INTRODUCTIO
N 95
5.2 MULTISCAL
E METHOD
S FOR TRANSPOR
T EQUATIO
N 96
5.2.1 GOVERNING EQUATION
S 96
5.2.2 ADAPTIV
E MULTISCAL
E ALGORITH
M FOR TRANSPOR
T EQUATIO
N . . 96
5.2.3 TH
E COARSE-TO-FINE GRID INTERPOLATIO
N OPERATO
R 99
5.2.4 NUMERICA
L RESULT
S 100
5.2.5 RESULT
S FOR A TWO-DIMENSIONAL TES
T CASE 101
5.2.6 THREE-DIMENSIONA
L TES
T CASES 104
5.2.7 DISCUSSION ON LOCAL BOUNDAR
Y CONDITION
S 107
5.2.8 OTHE
R APPROACHE
S FOR COARSENING TH
E TRANSPOR
T EQUATIO
N 107
5.2.9 SUMMAR
Y 112
5.3 APPLICATION
S T
O RICHARDS
EQUATIO
N 112
5.3.1 PROBLE
M STATEMEN
T 112
5.3.2 MSFVE
M FOR RICHARDS
EQUATION
S 113
5.3.3 NUMERICA
L RESULT
S 115
5.3.4 SUMMAR
Y 118
CONTENTS XI
5.4 APPLICATION
S T
O FLUID-STRUCTURE INTERACTIO
N 119
5.4.1 PROBLE
M STATEMEN
T 119
5.4.2 MULTISCAL
E NUMERICA
L FORMULATION 120
5.4.3 NUMERICA
L EXAMPLE
S 122
5.4.4 DISCUSSIONS 124
5.5 APPLICATION
S OF MIXED MSFEM
S T
O RESERVOIR MODELIN
G AN
D
SIMULATIO
N (BY J
. E
. AARNES
) 124
5.5.1 MULTISCAL
E METHO
D FOR TH
E THREE-PHAS
E BLACK OIL MODEL
. . 126
5.5.2 ADAPTIV
E COARSENING OF TH
E SATURATIO
N EQUATION
S 129
5.5.3 UTILIZATIO
N OF MULTISCAL
E METHOD
S FOR OPERATIONA
L
DECISION SUPPOR
T 133
5.5.4 SUMMAR
Y 136
5.6 MULTISCAL
E FINITE VOLUME METHO
D FOR BLACK OIL SYSTEM
S
(BY S. H. LEE, YY WOLFSTEINER AN
D H. A. TCHELEPI
) 136
5.6.1 GOVERNING EQUATION
S AN
D DISCRETIZE
D FORMULATION 137
5.6.2 MULTISCAL
E FINITE VOLUME FORMULATIO
N 138
5.6.3 SEQUENTIA
L FULLY IMPLICIT COUPLING AN
D ADAPTIV
E
COMPUTATIO
N 142
5.6.4 NUMERICA
L EXAMPLE
S 142
5.6.5 REMARK
S 144
5.7 APPLICATION
S OF MULTISCAL
E FINITE ELEMENT METHOD
S
T
O STOCHASTI
C FLOWS IN HETEROGENEOU
S MEDI
A 146
5.7.1 MULTISCALE METHOD
S FOR STOCHASTI
C EQUATION
S 148
5.7.2 TH
E APPLICATION
S OF MSFEM
S T
O UNCERTAINT
Y
QUANTIFICATIO
N IN INVERSE PROBLEM
S 160
5.8 DISCUSSIONS 163
6 ANALYSI
S 165
6.1 ANALYSIS OF MSFEM
S FOR LINEAR PROBLEM
S (FROM CHAPTE
R 2) . . .
. 166
6.1.1 ANALYSIS OF CONFORMING MULTISCAL
E FINITE ELEMENT METHOD
S 166
6.1.2 ANALYSIS OF NONCONFORMING MULTISCAL
E FINITE ELEMENT
METHOD
S 171
6.1.3 ANALYSIS OF MIXED MULTISCAL
E FINITE ELEMENT METHOD
S ..
. 173
6.2 ANALYSIS OF MSFEM
S FOR NONLINEA
R PROBLEM
S (FROM CHAPTE
R 3)
. 178
6.3 ANALYSIS FOR MSFEM
S WIT
H LIMITE
D GLOBAL INFORMATIO
N
(FROM CHAPTE
R 4) 187
6.3.1 MIXED FINITE ELEMENT METHOD
S WIT
H LIMITE
D GLOBAL
INFORMATIO
N 187
6.3.2 GALERKI
N FINITE ELEMENT METHOD
S WIT
H LIMITE
D GLOBAL
INFORMATIO
N 198
A BASI
C NOTATION
S 203
XII CONTENTS
YY REVIE
W O
F HOMOGENIZATIO
N 205
B.
L LINEAR PROBLEM
S 205
B.1.1 SPECIAL CASE
: ONE-DIMENSIONA
L PROBLE
M 206
YY
. 1.2 MULTISCAL
E ASYMPTOTI
C EXPANSION
S 207
B.1.3 JUSTIFICATIO
N OF FORMAL EXPANSION
S 209
B.L.
4 BOUNDAR
Y CORRECTION
S 209
B.L.
5 NONLOCAL MEMOR
Y EFFECT OF HOMOGENIZATIO
N 210
B.L.
6 CONVECTIO
N OF MICROSTRUCTUR
E 210
B.2 NONLINEA
R PROBLEM
S 212
REFERENCE
S 217
INDE
X 233
|
| any_adam_object | 1 |
| author | Efendiev, Yalchin Hou, Thomas Y. |
| author_GND | (DE-588)128383860 |
| author_facet | Efendiev, Yalchin Hou, Thomas Y. |
| author_role | aut aut |
| author_sort | Efendiev, Yalchin |
| author_variant | y e ye t y h ty tyh |
| building | Verbundindex |
| bvnumber | BV035758192 |
| classification_rvk | SK 910 ZM 6620 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA |
| ctrlnum | (ZDB-2-SMA)978-0-387-09495-3 (OCoLC)636209619 (DE-599)BVBBV035758192 |
| dewey-full | 620.00151535 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.00151535 |
| dewey-search | 620.00151535 |
| dewey-sort | 3620.00151535 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Mathematik Werkstoffwissenschaften / Fertigungstechnik |
| doi_str_mv | 10.1007/978-0-387-09496-0 |
| format | Electronic eBook |
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| id | DE-604.BV035758192 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T22:03:50Z |
| institution | BVB |
| isbn | 9780387094960 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018618118 |
| oclc_num | 636209619 |
| open_access_boolean | |
| owner | DE-634 DE-703 DE-29 DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-384 DE-83 DE-739 |
| owner_facet | DE-634 DE-703 DE-29 DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-384 DE-83 DE-739 |
| physical | 1 Online-Ressource (XII, 234 Seiten) Illustrationen, Diagramme |
| psigel | ZDB-2-SMA |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Springer |
| record_format | marc |
| series | Surveys and tutorials in the applied mathematical sciences |
| series2 | Surveys and tutorials in the applied mathematical sciences |
| spelling | Efendiev, Yalchin Verfasser aut Multiscale finite element methods theory and applications Yalchin Efendiev, Thomas Y. Hou New York, NY Springer [2009] © 2009 1 Online-Ressource (XII, 234 Seiten) Illustrationen, Diagramme txt rdacontent c rdamedia cr rdacarrier Surveys and tutorials in the applied mathematical sciences volume 4 Glasfehler (DE-588)4157436-9 gnd rswk-swf Prozessüberwachung (DE-588)4133922-8 gnd rswk-swf Glasverarbeitung (DE-588)4344710-7 gnd rswk-swf Mehrskalenmodell (DE-588)7600619-0 gnd rswk-swf Fehler (DE-588)4016606-5 gnd rswk-swf Glasherstellung (DE-588)4157441-2 gnd rswk-swf Fehlererkennung (DE-588)4133764-5 gnd rswk-swf Fertigungsfehler (DE-588)4286623-6 gnd rswk-swf Glas (DE-588)4021142-3 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 s Mehrskalenmodell (DE-588)7600619-0 s DE-604 Glasherstellung (DE-588)4157441-2 s Fehler (DE-588)4016606-5 s Glasfehler (DE-588)4157436-9 s Fehlererkennung (DE-588)4133764-5 s Glasverarbeitung (DE-588)4344710-7 s Prozessüberwachung (DE-588)4133922-8 s Glas (DE-588)4021142-3 s Fertigungsfehler (DE-588)4286623-6 s Hou, Thomas Y. Verfasser (DE-588)128383860 aut Erscheint auch als Druck-Ausgabe 978-0-387-09495-3 Surveys and tutorials in the applied mathematical sciences volume 4 (DE-604)BV036613076 4 https://doi.org/10.1007/978-0-387-09496-0 Verlag URL des Erstveröffentlichers Volltext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018618118&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Efendiev, Yalchin Hou, Thomas Y. Multiscale finite element methods theory and applications Surveys and tutorials in the applied mathematical sciences Glasfehler (DE-588)4157436-9 gnd Prozessüberwachung (DE-588)4133922-8 gnd Glasverarbeitung (DE-588)4344710-7 gnd Mehrskalenmodell (DE-588)7600619-0 gnd Fehler (DE-588)4016606-5 gnd Glasherstellung (DE-588)4157441-2 gnd Fehlererkennung (DE-588)4133764-5 gnd Fertigungsfehler (DE-588)4286623-6 gnd Glas (DE-588)4021142-3 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd |
| subject_GND | (DE-588)4157436-9 (DE-588)4133922-8 (DE-588)4344710-7 (DE-588)7600619-0 (DE-588)4016606-5 (DE-588)4157441-2 (DE-588)4133764-5 (DE-588)4286623-6 (DE-588)4021142-3 (DE-588)4017233-8 |
| title | Multiscale finite element methods theory and applications |
| title_auth | Multiscale finite element methods theory and applications |
| title_exact_search | Multiscale finite element methods theory and applications |
| title_full | Multiscale finite element methods theory and applications Yalchin Efendiev, Thomas Y. Hou |
| title_fullStr | Multiscale finite element methods theory and applications Yalchin Efendiev, Thomas Y. Hou |
| title_full_unstemmed | Multiscale finite element methods theory and applications Yalchin Efendiev, Thomas Y. Hou |
| title_short | Multiscale finite element methods |
| title_sort | multiscale finite element methods theory and applications |
| title_sub | theory and applications |
| topic | Glasfehler (DE-588)4157436-9 gnd Prozessüberwachung (DE-588)4133922-8 gnd Glasverarbeitung (DE-588)4344710-7 gnd Mehrskalenmodell (DE-588)7600619-0 gnd Fehler (DE-588)4016606-5 gnd Glasherstellung (DE-588)4157441-2 gnd Fehlererkennung (DE-588)4133764-5 gnd Fertigungsfehler (DE-588)4286623-6 gnd Glas (DE-588)4021142-3 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd |
| topic_facet | Glasfehler Prozessüberwachung Glasverarbeitung Mehrskalenmodell Fehler Glasherstellung Fehlererkennung Fertigungsfehler Glas Finite-Elemente-Methode |
| url | https://doi.org/10.1007/978-0-387-09496-0 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018618118&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV036613076 |
| work_keys_str_mv | AT efendievyalchin multiscalefiniteelementmethodstheoryandapplications AT houthomasy multiscalefiniteelementmethodstheoryandapplications |