Eléments finis: théorie, applications, mise en oeuvre
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| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | French |
| Veröffentlicht: |
Paris [u.a.]
Springer
2002
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| Schriftenreihe: | Mathematiques & applications
36 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
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| 245 | 1 | 0 | |a Eléments finis: théorie, applications, mise en oeuvre |c Alexandre Ern ; Jean-Luc Guermond |
| 264 | 1 | |a Paris [u.a.] |b Springer |c 2002 | |
| 300 | |a IX, 430 S. |b graph. Darst. : 24 cm | ||
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Datensatz im Suchindex
| _version_ | 1819609443506061312 |
|---|---|
| adam_text | IMAGE 1
ALEXANDRE ERN JEAN-LUC GUERMOND
ELEMENTS FINIS:
THEORIE, APPLICATIONS, MISE EN *UVRE
SPRINGER
IMAGE 2
TABLE DES MATIERES
1 INTRODUCTION 11.1 HISTORIQUE 11.2 ORGANISATION DU LIVRE 31.3
ILLUSTRATIONS NUMERIQUES 10BIBLIOGRAPHIE 171 FONDEMENTS 2 INTERPOLATION
PAR ELEMENTS FINIS 21 2.1 INTERPOLATION EN UNE DIMENSION D ESPACE 212.2
NOTION LOCALE D ELEMENT FINI 32 2.3 ELEMENTS FINIS DE LAGRANGE EN 2D ET
3D 352.4 AUTRES ELEMENTS FINIS 40 2.5 MAILLAGES EN DIMENSION 2 ET 3
432.6 DU LOCAL AU GLOBAL 492.7 INTERPOLATION DE FONCTIONS REGULIERES
552.8 INEGALITES INVERSES 632.9 INTERPOLATION DE FONCTIONS PEU
REGULIERES 66BIBLIOGRAPHIE 70 3 PROBLEMES BIEN POSES 73 3.1 NOTION DE
PROBLEME BIEN POSE 733.2 RESULTATS D EXISTENCE ET D UNICITE 773.3 LA
METHODE DE GALERKIN ET SES VARIANTES 85BIBLIOGRAPHIE 100 II APPLICATIONS
4 PROBLEMES COERCIFS 1034.1 LE LAPLACIEN ET SES VARIANTES 1034.2
MECANIQUE DES MILIEUX CONTINUS DEFORMABLES 120 4.3 PERTE DE COERCIVITE
142
IMAGE 3
VIII TABLE DES MATIERES
BIBLIOGRAPHIE 150
5 PROBLEMES MIXTES 153
5.1 ETUDE MATHEMATIQUE DU PROBLEME DE STOKES 154
5.2 APPROXIMATION NUMERIQUE 160
5.3 CONSIDERATIONS SUR LES SYSTEMES LINEAIRES 177
5.4 UNE TECHNIQUE DE STABILISATION 184
BIBLIOGRAPHIE 191
6 PROBLEMES DU PREMIER ORDRE 193
6.1 APPROXIMATION DE GALERKIN STANDARD EN 1D 194
6.2 FORMULATIONS DU TYPE MOINDRES CARRES 201
6.3 METHODE GALERKIN/MOINDRES CARRES (GALS) 214
6.4 STABILISATION PAR VISCOSITE DE SOUS-MAILLE 224
6.5 UNE METHODE DE GALERKIN NON STANDARD 240
BIBLIOGRAPHIE 242
7 PROBLEMES D EVOLUTION EN TEMPS 245
7.1 LES PROBLEMES PARABOLIQUES 246
7.2 STOKES INSTATIONNAIRE 265
7.3 PROBLEMES D EVOLUTION SANS COERCIVITE 277
BIBLIOGRAPHIE 293
III MISE EN OEUVRE
8 MAILLAGES 297
8.1 PRINCIPES DE NUMEROTATION 297
8.2 MAILLEURS 300
8.3 EXEMPLE : TRIANGULATIONS DE DELAUNAY 306
BIBLIOGRAPHIE 313
9 QUADRATURES NUMERIQUES, ASSEMBLAGE ET STOCKAGE 315 9.1 QUADRATURES
NUMERIQUES 315
9.2 MODULE DE QUADRATURE 321
9.3 ASSEMBLAGE 324
9.4 STOCKAGE DES MATRICES CREUSES . 328
9.5 LES CONDITIONS AUX LIMITES ESSENTIELLES 332
9.6 RESUME 336
BIBLIOGRAPHIE 337
10 ALGEBRE LINEAIRE 339
10.1 CONDITIONNEMENT 339
10.2 METHODES ITERATIVES 348
10.3 PARALLELISATION 361
BIBLIOGRAPHIE 365
IMAGE 4
TABLE DES MATIERES IX
11 ESTIMATION D ERREUR A POSTERIORI 367
11.1 MOTIVATIONS 368
11.2 LE LAPLACIEN ET SES VARIANTES 369
11.3 LE PROBLEME DE STOKES 377
11.4 ESTIMATION D ERREUR A POSTERIORI PAR DUALITE 380
11.5 MISE EN *UVRE NUMERIQUE 385
BIBLIOGRAPHIE 389
IV ANNEXES
A CONVENTIONS DE NOTATION 393
A.L VECTEURS ET MATRICES 393
A.2 OPERATEURS DIFFERENTIELS 394
B ESPACES DE BANACH ET DE HILBERT 397
B.L NORME, DUALITE, PRODUIT SCALAIRE 397
B.2 OPERATEURS DE BANACH BIJECTIFS 400
BIBLIOGRAPHIE 408
C ELEMENTS D ANALYSE FONCTIONNELLE 409
CL ESPACES FONCTIONNELS 409
C.2 DISTRIBUTIONS 412
C.3 ESPACES DE SOBOLEV 414
BIBLIOGRAPHIE 424
INDEX 425
|
| any_adam_object | 1 |
| author | Ern, Alexandre 1967- Guermond, Jean-Luc |
| author_GND | (DE-588)114186839 |
| author_facet | Ern, Alexandre 1967- Guermond, Jean-Luc |
| author_role | aut aut |
| author_sort | Ern, Alexandre 1967- |
| author_variant | a e ae j l g jlg |
| building | Verbundindex |
| bvnumber | BV014173152 |
| callnumber-first | T - Technology |
| callnumber-label | TA347 |
| callnumber-raw | TA347.F5 |
| callnumber-search | TA347.F5 |
| callnumber-sort | TA 3347 F5 |
| callnumber-subject | TA - General and Civil Engineering |
| classification_rvk | SK 910 |
| ctrlnum | (OCoLC)48928653 (DE-599)BVBBV014173152 |
| dewey-full | 518/.25 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 518 - Numerical analysis |
| dewey-raw | 518/.25 |
| dewey-search | 518/.25 |
| dewey-sort | 3518 225 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV014173152 |
| illustrated | Illustrated |
| indexdate | 2024-12-23T15:48:51Z |
| institution | BVB |
| isbn | 3540426159 |
| language | French |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009715898 |
| oclc_num | 48928653 |
| open_access_boolean | |
| owner | DE-29T DE-703 |
| owner_facet | DE-29T DE-703 |
| physical | IX, 430 S. graph. Darst. : 24 cm |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Springer |
| record_format | marc |
| series | Mathematiques & applications |
| series2 | Mathematiques & applications |
| spellingShingle | Ern, Alexandre 1967- Guermond, Jean-Luc Eléments finis: théorie, applications, mise en oeuvre Mathematiques & applications Eindige-elementenmethode gtt Finite element method Finite-Elemente-Methode (DE-588)4017233-8 gnd |
| subject_GND | (DE-588)4017233-8 |
| title | Eléments finis: théorie, applications, mise en oeuvre |
| title_auth | Eléments finis: théorie, applications, mise en oeuvre |
| title_exact_search | Eléments finis: théorie, applications, mise en oeuvre |
| title_full | Eléments finis: théorie, applications, mise en oeuvre Alexandre Ern ; Jean-Luc Guermond |
| title_fullStr | Eléments finis: théorie, applications, mise en oeuvre Alexandre Ern ; Jean-Luc Guermond |
| title_full_unstemmed | Eléments finis: théorie, applications, mise en oeuvre Alexandre Ern ; Jean-Luc Guermond |
| title_short | Eléments finis: théorie, applications, mise en oeuvre |
| title_sort | elements finis theorie applications mise en oeuvre |
| topic | Eindige-elementenmethode gtt Finite element method Finite-Elemente-Methode (DE-588)4017233-8 gnd |
| topic_facet | Eindige-elementenmethode Finite element method Finite-Elemente-Methode |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009715898&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV006642035 |
| work_keys_str_mv | AT ernalexandre elementsfinistheorieapplicationsmiseenoeuvre AT guermondjeanluc elementsfinistheorieapplicationsmiseenoeuvre |