A posteriori error estimation for hybridized mixed and discontinuous Galerkin methods:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
Logos
2012
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| Schriftenreihe: | Augsburger Schriften zur Mathematik, Physik und Informatik
19 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 101 S. graph. Darst. |
| ISBN: | 9783832530884 |
Internformat
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Datensatz im Suchindex
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| adam_text | IMAGE 1
C O N T E N T S
1 INTRODUCTION 1
2 HYBRIDIZED PROBLEM 5
2.1 P R I M A L A N D DUAL MIXED FORMULATION 5
2.1.1 P R I M A L VARIATIONAL FORMULATION 6
2.1.2 P R I M A L MIXED FORMULATION 7
2.1.3 DUAL MIXED FORMULATION 9
2.1.4 TOWARDS DISCRETIZATION 11
2.2 IDEA OF HYBRIDIZATION 11
3 HYBRID M E T H O D S 1 7
3.1 GENERAL S T R U C T U R E 17
3.2 HYBRIDIZED MIXED M E T H O D S 24
3.2.1 RAVIART-THOMAS M E T H O D 24
3.2.2 BREZZI-DOUGLAS-MARINI M E T H O D 2 7
3.3 DISCONTINUOUS GALERKIN M E T H O D S 28
3.3.1 LOCAL D G M E T H O D 29
3.3.2 INTERIOR PENALTY D G M E T H O D 31
3.4 HYBRIDIZED CONTINUOUS GALERKIN M E T H O D 3 7
3.5 HYBRIDIZED NONCONFORMING M E T H O D 39
3.6 COMPUTATIONAL ASPECTS 42
4 A POSTERIORI ERROR ANALYSIS 4 5
4.1 A POSTERIORI ERROR ESTIMATORS 45
4.2 ESTIMATION OF T I E , 2 A N D R ) B , 3 FOR T H E H-DG M E T H O D S
52
4.3 ESTIMATION OF T H E J U M P T E R M FOR T H E H-NC M E T H O D S 59
4.4 EFFICIENCY OF T H E ERROR ESTIMATOR 61
HTTP://D-NB.INFO/1019654414
IMAGE 2
IV CONTENTS
5 NUMERICAL RESULTS 6 7
5.1 NUMERICAL SOLUTION OF HYBRID M E T H O D S 67
5.2 POISSOU EQUATION W I T H SMOOTH SOLUTION 70
5.3 POISSON EQUATION ON L-SHAPED DOMAIN 74
5.4 INTERIOR LAYER 79
5.5 DISCONTINUOUS DIFFUSION TENSOR 84
6 CONCLUSION 9 3
|
| any_adam_object | 1 |
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| discipline | Mathematik |
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| id | DE-604.BV039966665 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T00:15:10Z |
| institution | BVB |
| isbn | 9783832530884 |
| language | English |
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| physical | 101 S. graph. Darst. |
| publishDate | 2012 |
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| series | Augsburger Schriften zur Mathematik, Physik und Informatik |
| series2 | Augsburger Schriften zur Mathematik, Physik und Informatik |
| spelling | Neher, Johannes Verfasser (DE-588)1020912790 aut A posteriori error estimation for hybridized mixed and discontinuous Galerkin methods vorgelegt von Johannes L. Neher Berlin Logos 2012 101 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Augsburger Schriften zur Mathematik, Physik und Informatik 19 Augsburg, Univ., Diss., 2011 A-posteriori-Abschätzung (DE-588)4346907-3 gnd rswk-swf Galerkin-Methode (DE-588)4155831-5 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Partielle Differentialgleichung (DE-588)4044779-0 s Galerkin-Methode (DE-588)4155831-5 s A-posteriori-Abschätzung (DE-588)4346907-3 s DE-604 Augsburger Schriften zur Mathematik, Physik und Informatik 19 (DE-604)BV017601953 19 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024824292&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Neher, Johannes A posteriori error estimation for hybridized mixed and discontinuous Galerkin methods Augsburger Schriften zur Mathematik, Physik und Informatik A-posteriori-Abschätzung (DE-588)4346907-3 gnd Galerkin-Methode (DE-588)4155831-5 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4346907-3 (DE-588)4155831-5 (DE-588)4044779-0 (DE-588)4113937-9 |
| title | A posteriori error estimation for hybridized mixed and discontinuous Galerkin methods |
| title_auth | A posteriori error estimation for hybridized mixed and discontinuous Galerkin methods |
| title_exact_search | A posteriori error estimation for hybridized mixed and discontinuous Galerkin methods |
| title_full | A posteriori error estimation for hybridized mixed and discontinuous Galerkin methods vorgelegt von Johannes L. Neher |
| title_fullStr | A posteriori error estimation for hybridized mixed and discontinuous Galerkin methods vorgelegt von Johannes L. Neher |
| title_full_unstemmed | A posteriori error estimation for hybridized mixed and discontinuous Galerkin methods vorgelegt von Johannes L. Neher |
| title_short | A posteriori error estimation for hybridized mixed and discontinuous Galerkin methods |
| title_sort | a posteriori error estimation for hybridized mixed and discontinuous galerkin methods |
| topic | A-posteriori-Abschätzung (DE-588)4346907-3 gnd Galerkin-Methode (DE-588)4155831-5 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | A-posteriori-Abschätzung Galerkin-Methode Partielle Differentialgleichung Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024824292&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV017601953 |
| work_keys_str_mv | AT neherjohannes aposteriorierrorestimationforhybridizedmixedanddiscontinuousgalerkinmethods |