Adaptive moving finite elements on time dependent domains:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | German |
| Veröffentlicht: |
Aachen
Shaker
2007
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| Schriftenreihe: | Berichte aus der Mathematik
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 139 S. graph. Darst. 21 cm |
| ISBN: | 3832266720 |
Internformat
MARC
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Datensatz im Suchindex
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|---|---|
| adam_text | ADAPTIVE MOVING FINITE ELEMENTS ON TIME DEPENDENT DOMAINS VOM
FACHBEREICH MATHEMATIK DER TECHNISCHEN UNIVERSITAT DARMSTADT ZUR
ERLANGUNG DES GRADES EINES DOKTORS DER NATURWISSENSCHAFTEN (DR. RER.
NAT.) GENEHMIGTE DISSERTATION VON DIPLOM-MATHEMATIKER DANIEL KIRCHNER
AUS ALZENAU REFERENT: PROF. DR. JENS LANG KORREFERENT: PROF DR. MARTIN
KIEHL KORREFERENT: PROF. DR. WEIZHANG HUANG TAG DER EINREICHUNG: 1.
FEBRUAR 2007 TAG DER MUNDLICHEN PRIIFUNG: 20. APRIL 2007 DARMSTADT IM
OKTOBER 2007 D 17 CONTENTS INTRODUCTION I ABSTRACT INITIAL VALUE
PROBLEMS 5 1 ANALYTIC FRAMEWORK 7 1.1 LINEAR EQUATIONS 7 1.2 NONLINEAR
EQUATIONS 10 1.3 FUNCTIONS OF AN OPERATOR 12 1.3.1 DUNFORD-INTEGRAL 12
1.3.2 A - STABLE FUNCTIONS 17 2 ROSENBROCK METHODS 21 2.1 DEFINITION 21
2.2 STABILITY FUNCTION 22 2.3 CONSISTENCY CONDITIONS 24 3 STABILITY 27
3.1 LINEAR STABILITY 27 3.1.1 TIME-INDEPENDENT OPERATOR 27 3.1.2
TIME-DEPENDENT OPERATOR 28 3.1.3 PERTURBED ROSENBROCK SCHEMES 32 3.2
NONLINEAR STABILITY 33 4 CONVERGENCE 39 4.1 LINEAR EQUATIONS 39 4.1.1
TIME-INDEPENDENT OPERATOR 39 4.1.2 TIME-DEPENDENT OPERATOR 54 4.2
NONLINEAR EQUATIONS * 57 II PARABOLIC EQUATIONS ON TIME DEPENDENT
DOMAINS 59 5 ANALYTIC FRAMEWORK 61 6 TIME DISCRETIZATION 75 6.1 STAGE
PROBLEMS ^.. 75 6.2 STABILITY 77 6.2.1 LINEAR STABILITY 78 6.2.2
NONLINEAR STABILITY 79 6.3 CONVERGENCE 80 6.3.1 LINEAR EQUATIONS 80
6.3.2 NONLINEAR EQUATIONS 82 III ADAPTIVE SPACE DISCRETIZATION 85 7
FINITE ELEMENTS 87 8 ADAPTIVE SPACE DISCRETIZATION 89 8.1 CRITERIA FOR
MESH ADAPTION 89 8.2 ISOTROPY 93 8.3 UNIFORMITY 94 8.4 HUANGS FUNCTIONAL
95 8.5 OTHER FUNCTIONAL 100 8.6 THE MOVING MESH PDE 101 8.6.1
INSTABILITY OF THE CONSERVATIVE FORMULATION . 103 8.6.2 NON-CONSERVATIVE
FORMULATION 105 8.6.3 PRACTICAL ASPECTS : 106 8.6.4 NON-CONSERVATIVE
SYSTEMS IN FEM 109 IV NUMERICAL EXAMPLES 111 9 CONVERGENCE TEST IN 2D
ON A FIXED DOMAIN 113 10 CONVERGENCE TEST IN 2D ON A MOVING DOMAIN 117
11 BURGERS EQUATION IN 3D 121 12 POROUS MEDIUM EQUATION IN 3D 125 13
COMBUSTION PROBLEM IN 3D * 129 CONCLUSION 133 BIBLIOGRAPHY 134 A
LEBENSLAUF 139
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| indexdate | 2024-07-09T21:37:09Z |
| institution | BVB |
| isbn | 3832266720 |
| language | German |
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| physical | X, 139 S. graph. Darst. 21 cm |
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| series2 | Berichte aus der Mathematik |
| spelling | Kirchner, Daniel Verfasser aut Adaptive moving finite elements on time dependent domains Daniel Kirchner Aachen Shaker 2007 X, 139 S. graph. Darst. 21 cm txt rdacontent n rdamedia nc rdacarrier Berichte aus der Mathematik Zugl.: Darmstadt, Techn. Univ., Diss., 2007 Adaptives Gitter (DE-588)4333769-7 gnd rswk-swf Parabolische Differentialgleichung (DE-588)4173245-5 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Parabolische Differentialgleichung (DE-588)4173245-5 s Finite-Elemente-Methode (DE-588)4017233-8 s Adaptives Gitter (DE-588)4333769-7 s DE-604 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017445510&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kirchner, Daniel Adaptive moving finite elements on time dependent domains Adaptives Gitter (DE-588)4333769-7 gnd Parabolische Differentialgleichung (DE-588)4173245-5 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd |
| subject_GND | (DE-588)4333769-7 (DE-588)4173245-5 (DE-588)4017233-8 (DE-588)4113937-9 |
| title | Adaptive moving finite elements on time dependent domains |
| title_auth | Adaptive moving finite elements on time dependent domains |
| title_exact_search | Adaptive moving finite elements on time dependent domains |
| title_full | Adaptive moving finite elements on time dependent domains Daniel Kirchner |
| title_fullStr | Adaptive moving finite elements on time dependent domains Daniel Kirchner |
| title_full_unstemmed | Adaptive moving finite elements on time dependent domains Daniel Kirchner |
| title_short | Adaptive moving finite elements on time dependent domains |
| title_sort | adaptive moving finite elements on time dependent domains |
| topic | Adaptives Gitter (DE-588)4333769-7 gnd Parabolische Differentialgleichung (DE-588)4173245-5 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd |
| topic_facet | Adaptives Gitter Parabolische Differentialgleichung Finite-Elemente-Methode Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017445510&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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