A review of a posteriori error estimation and adaptive mesh refinement techniques:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Chichester [u.a.]
Wiley-Teubner
1996
|
| Schriftenreihe: | Wiley-Teubner series in advances in numerical mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VI, 127 S. graph. Darst. |
| ISBN: | 3519026058 0471967955 |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1804125200640376832 |
|---|---|
| adam_text | Contents
Introduction 1
1. A Simple Model Problem 7
1.1. The Model Problem and its Discretization 7
1.2. A Residual Error Estimator 11
1.3. Error Estimators Based on the Solution of Local Problems 19
1.4. Hierarchical Basis Error Estimators 28
1.5. An Error Estimator Based on an Averaging of the Gradient .... 36
1.6. Efficiency of the Error Estimators 41
2. Abstract Nonlinear Equations 47
2.1. Error Estimates for Isolated Solutions 47
2.2. Error Estimates for Branches of Solutions 50
2.3. Estimation of the Residual 52
3. Finite Element Discretizations of Elliptic PDEs 56
3.1. Auxiliary Results 56
3.2. The Model Problem Revisited 62
3.3. Quasilinear Equations of 2nd Order 70
3.4. Eigenvalue Problems for 2nd Order Operators 81
3.5. Stationary, Incompressible Navier Stokes Equations 84
3.6. The Equations of Linearized Elasticity 93
3.7. The Biharmonic Equation 99
4. Practical Implementation 106
4.1. Mesh Refinement Techniques 106
4.2. Data Structures 111
4.3. Numerical Examples 112
Bibliography 121
Subject Index 127
vi
|
| any_adam_object | 1 |
| author | Verfürth, Rüdiger 1955- |
| author_GND | (DE-588)141710780 |
| author_facet | Verfürth, Rüdiger 1955- |
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| author_sort | Verfürth, Rüdiger 1955- |
| author_variant | r v rv |
| building | Verbundindex |
| bvnumber | BV010720068 |
| callnumber-first | Q - Science |
| callnumber-label | QA297 |
| callnumber-raw | QA297 |
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| ctrlnum | (OCoLC)35042554 (DE-599)BVBBV010720068 |
| dewey-full | 515/.353 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.353 |
| dewey-search | 515/.353 |
| dewey-sort | 3515 3353 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T17:57:47Z |
| institution | BVB |
| isbn | 3519026058 0471967955 |
| language | English |
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| publishDate | 1996 |
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| spelling | Verfürth, Rüdiger 1955- Verfasser (DE-588)141710780 aut A review of a posteriori error estimation and adaptive mesh refinement techniques Rüdiger Verfürth Chichester [u.a.] Wiley-Teubner 1996 VI, 127 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Wiley-Teubner series in advances in numerical mathematics Differential equations, Elliptic Numerical solutions Differential equations, Nonlinear Numerical solutions Error analysis (Mathematics) Kontinuumsmechanik (DE-588)4032296-8 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf A-posteriori-Abschätzung (DE-588)4346907-3 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Adaptives Gitter (DE-588)4333769-7 gnd rswk-swf Strömungsmechanik (DE-588)4077970-1 gnd rswk-swf Elliptische Differentialgleichung (DE-588)4014485-9 gnd rswk-swf Nichtlineare elliptische Differentialgleichung (DE-588)4310554-3 gnd rswk-swf Lokale Verfeinerung (DE-588)4346697-7 gnd rswk-swf Navier-Stokes-Gleichung (DE-588)4041456-5 gnd rswk-swf Nichtlineare elliptische Differentialgleichung (DE-588)4310554-3 s Finite-Elemente-Methode (DE-588)4017233-8 s Adaptives Gitter (DE-588)4333769-7 s Lokale Verfeinerung (DE-588)4346697-7 s A-posteriori-Abschätzung (DE-588)4346907-3 s DE-604 Strömungsmechanik (DE-588)4077970-1 s 1\p DE-604 Elliptische Differentialgleichung (DE-588)4014485-9 s 2\p DE-604 Navier-Stokes-Gleichung (DE-588)4041456-5 s 3\p DE-604 Partielle Differentialgleichung (DE-588)4044779-0 s 4\p DE-604 Kontinuumsmechanik (DE-588)4032296-8 s 5\p DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007158404&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Verfürth, Rüdiger 1955- A review of a posteriori error estimation and adaptive mesh refinement techniques Differential equations, Elliptic Numerical solutions Differential equations, Nonlinear Numerical solutions Error analysis (Mathematics) Kontinuumsmechanik (DE-588)4032296-8 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd A-posteriori-Abschätzung (DE-588)4346907-3 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Adaptives Gitter (DE-588)4333769-7 gnd Strömungsmechanik (DE-588)4077970-1 gnd Elliptische Differentialgleichung (DE-588)4014485-9 gnd Nichtlineare elliptische Differentialgleichung (DE-588)4310554-3 gnd Lokale Verfeinerung (DE-588)4346697-7 gnd Navier-Stokes-Gleichung (DE-588)4041456-5 gnd |
| subject_GND | (DE-588)4032296-8 (DE-588)4044779-0 (DE-588)4346907-3 (DE-588)4017233-8 (DE-588)4333769-7 (DE-588)4077970-1 (DE-588)4014485-9 (DE-588)4310554-3 (DE-588)4346697-7 (DE-588)4041456-5 |
| title | A review of a posteriori error estimation and adaptive mesh refinement techniques |
| title_auth | A review of a posteriori error estimation and adaptive mesh refinement techniques |
| title_exact_search | A review of a posteriori error estimation and adaptive mesh refinement techniques |
| title_full | A review of a posteriori error estimation and adaptive mesh refinement techniques Rüdiger Verfürth |
| title_fullStr | A review of a posteriori error estimation and adaptive mesh refinement techniques Rüdiger Verfürth |
| title_full_unstemmed | A review of a posteriori error estimation and adaptive mesh refinement techniques Rüdiger Verfürth |
| title_short | A review of a posteriori error estimation and adaptive mesh refinement techniques |
| title_sort | a review of a posteriori error estimation and adaptive mesh refinement techniques |
| topic | Differential equations, Elliptic Numerical solutions Differential equations, Nonlinear Numerical solutions Error analysis (Mathematics) Kontinuumsmechanik (DE-588)4032296-8 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd A-posteriori-Abschätzung (DE-588)4346907-3 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Adaptives Gitter (DE-588)4333769-7 gnd Strömungsmechanik (DE-588)4077970-1 gnd Elliptische Differentialgleichung (DE-588)4014485-9 gnd Nichtlineare elliptische Differentialgleichung (DE-588)4310554-3 gnd Lokale Verfeinerung (DE-588)4346697-7 gnd Navier-Stokes-Gleichung (DE-588)4041456-5 gnd |
| topic_facet | Differential equations, Elliptic Numerical solutions Differential equations, Nonlinear Numerical solutions Error analysis (Mathematics) Kontinuumsmechanik Partielle Differentialgleichung A-posteriori-Abschätzung Finite-Elemente-Methode Adaptives Gitter Strömungsmechanik Elliptische Differentialgleichung Nichtlineare elliptische Differentialgleichung Lokale Verfeinerung Navier-Stokes-Gleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007158404&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT verfurthrudiger areviewofaposteriorierrorestimationandadaptivemeshrefinementtechniques |