Numerical methods for elliptic problems with singularities: boundary methods and nonconforming combinations
This book presents two kinds of numerical methods for solving elliptic boundary value problems with singularities. Part I gives the boundary methods which use analytic and singular expansions, and Part II the nonconforming methods combining finite element methods (FEM) (or finite difference methods...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore
World Scientific Pub. Co.
c1990
|
| Subjects: | |
| Online Access: | FHN01 Volltext Inhaltsverzeichnis |
| Summary: | This book presents two kinds of numerical methods for solving elliptic boundary value problems with singularities. Part I gives the boundary methods which use analytic and singular expansions, and Part II the nonconforming methods combining finite element methods (FEM) (or finite difference methods (FDM)) and singular (or analytic) expansions. The advantage of these methods over the standard FEM and FDM is that they can cope with complicated geometrical boundaries and boundary conditions as well as singularity. Therefore, accurate numerical solutions near singularities can be obtained. The description of methods, error bounds, stability analysis and numerical experiments are provided for the typical problems with angular, interface and infinity singularities. However, the approximate techniques and coupling strategy given can be applied to solving other PDE and engineering problems with singularities as well. This book is derived from the author's Ph. D. thesis which won the 1987 best doctoral dissertation award given by the Canadian Applied Mathematics Society |
| Physical Description: | xv, 258 p. ill |
| ISBN: | 9789814368100 |
Staff View
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| 520 | |a This book presents two kinds of numerical methods for solving elliptic boundary value problems with singularities. Part I gives the boundary methods which use analytic and singular expansions, and Part II the nonconforming methods combining finite element methods (FEM) (or finite difference methods (FDM)) and singular (or analytic) expansions. The advantage of these methods over the standard FEM and FDM is that they can cope with complicated geometrical boundaries and boundary conditions as well as singularity. Therefore, accurate numerical solutions near singularities can be obtained. The description of methods, error bounds, stability analysis and numerical experiments are provided for the typical problems with angular, interface and infinity singularities. However, the approximate techniques and coupling strategy given can be applied to solving other PDE and engineering problems with singularities as well. This book is derived from the author's Ph. D. thesis which won the 1987 best doctoral dissertation award given by the Canadian Applied Mathematics Society | ||
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Record in the Search Index
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| adam_text | IMAGE 1
INHALTSVERZEICHNIS
VORWORT 8
1. KOERPER, GEIST, SEELE USW 11
1.1. INNEN UND AUSSEN 11
1.1.1. EIN STUECK KREIDE 12
1.2. SEELE 12
1.2.1. EIN GEWEHRLAUF 15
1.3. PNEUMA, SPIRITUS, ODEM 16
1.4. FUEHLEN 18
1.4.1. PFLANZEN 21
1.4.2. BABY 22
1.4.2.1. KOLOSTRUM 24
1.5. INDIVIDUUM UND PERSON 25
1.6. DIE MUTTER ALLER KONFLIKTE 27
1.6.1. *ICH 30
1.6.2. GESPENSTER 31
1.7. GEIST 33
1.8. DER AUFTRITT DES BOESEN 37
1.9. SOFTWAREKONFLIKTE 41
1.10. SALOMO DER WEISE 44
1.11. GEFUEHL UND EMOTION 46
1.12. DIE ENTSTEHUNG PSYCHOSOMATISCHER KRANKHEITEN 52 1.12.1.
*LAGERUNGSSCHAEDEN 54
2. DIE BUDDHISTISCHE KATZE 59
2.1. PANDORA 64
2.2. INDIANA JONES UND SIR GALAHAD 69
2.3. MATRIX UND MYSTIK 76
2.4. ARNOLD SCHWARZENEGGERS MYSTISCHER WEG IN DIE PYRAMIDE.... 77 2.5.
DA HELFEN KEINE PILLEN 79
2.6. HOBBITS UND ORKS 80
2.7. SEHR MYSTISCH! 82
3. WARUM WIR LACHEN 85
3.1. ...UND WEINEN! 88
3.1.1. TRAENEN LUEGEN NICHT! 90
4. WARUM DAS RUNDE INS ECKIGE MUSS 97
4.1. VOR UND HINTER DEM TOR 98
4.2. VOR WESSEN TOR STEHT DER TORWART? 102
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1012735362
DIGITALISIERT DURCH
IMAGE 2
. RAUSCH UND SUCHT 105
5.1. DREI PHASEN 105
5.1.1. ERREGUNGSPHASE 105
5.1.2. ANPASSUNGSPHASE 107
5.1.3. ERSCHOEPFUNGSPHASE 108
5.2. DAS PHASENMODELL 108
5.3. SUCHT 111
5.4. NOCH EINE NATUERLICHE GESETZMAESSIGKEIT 114
5.4.1. ALKOHOL 114
5.4.2. KOFFEIN 117
5.4.3. KOKAIN 120
5.4.4. NIKOTIN 123
5.4.4.2. CHEETA 124
5.4.4.3. IN DIE RAUCHERHOELLE 126
5.4.4.4. ...UND WIEDER HINAUS 127
5.4.5. HEROIN 128
5.4.6. CANNABIS 130
5.4.6.1. AMOTIVATIONSSYNDROM 133
5.4.7. NICHT-STOFFGEBUNDENE RAEUSCHE 134
5.4.7.1. GESCHWINDIGKEIT 135
5.4.7.2. LIEBE 135
5.5. DER SUCHTWINKEL 138
5.5.1. AMOR 141
5.6. SCHLUSSFOLGERUNGEN 142
6.6.1. DEPRESSION 143
5.6.2. SELIGKEITEN 144
. DAS PRINZIP DER NACHFOLGE 146
6.1. VORBILDER 147
6.2. *STAERKE 151
6.3. *TYRANNEN 154
6.4. SOFT-POWER 155
6.5. NUTZANWENDUNG 157
6.6. AUTORITAET 160
6.7. DRACHEN UND PRINZESSINNEN 162
6.9. MOEGE DIE MACHT MIT UNS SEIN! 165
6.10. BEGABUNGEN 167
6.11. HOFFNUNG 169
6.12. DUALITAET 171
6.13. YIN UND YANG - UND TAO 171
6.14. ERLEUCHTUNG 174
6
IMAGE 3
7. EMOTIONALE AUSGEGLICHENHEIT 177
7.1. TUGENDEN 177
7.2. GEWISSEN UND SUENDE 180
7.3. EMOTION UND DURCHBLUTUNG 182
7.4. LIEBE UND ALKOHOL 185
7.5. LIEBE UND KOSMETIK 185
7.6. EMOTION UND MAGEN 186
7.7. GLEICHGEWICHT 188
7.8.1000 ELEFANTEN 190
7.9. HOEREN UND SEHEN 193
7.10. DER GESCHMACK DER APFELSINE 195
7.11. ERINNERN UND VERGESSEN 197
7.12. MEDITATION 200
7.13. DAS PARADIES 204
7.13.1. SAGEN VOM KOENIG MU 206
7.14. WIR SIND NICHT VON GESTERN 211
8. DIE LEBENSKURVE 214
8.1. PSYCHOPHARMAKA UND GEFUEHLE 219
8.2. LETZTE FRAGEN 221
8.2.1. DER FLUCH DER PHARAONEN 222
8.2.2. MOTTEN UND ROST 222
NACHWORT 226
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| id | DE-604.BV044638725 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:54Z |
| institution | BVB |
| isbn | 9789814368100 |
| language | English |
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| spelling | Li, Zi-Cai 1939- Verfasser aut Numerical methods for elliptic problems with singularities boundary methods and nonconforming combinations Zi Cai Li Singapore World Scientific Pub. Co. c1990 xv, 258 p. ill txt rdacontent c rdamedia cr rdacarrier This book presents two kinds of numerical methods for solving elliptic boundary value problems with singularities. Part I gives the boundary methods which use analytic and singular expansions, and Part II the nonconforming methods combining finite element methods (FEM) (or finite difference methods (FDM)) and singular (or analytic) expansions. The advantage of these methods over the standard FEM and FDM is that they can cope with complicated geometrical boundaries and boundary conditions as well as singularity. Therefore, accurate numerical solutions near singularities can be obtained. The description of methods, error bounds, stability analysis and numerical experiments are provided for the typical problems with angular, interface and infinity singularities. However, the approximate techniques and coupling strategy given can be applied to solving other PDE and engineering problems with singularities as well. This book is derived from the author's Ph. D. thesis which won the 1987 best doctoral dissertation award given by the Canadian Applied Mathematics Society Differential equations, Elliptic / Numerical solutions Singularities (Mathematics) Elliptische Differentialgleichung (DE-588)4014485-9 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Singularität Mathematik (DE-588)4077459-4 gnd rswk-swf Singularität Mathematik (DE-588)4077459-4 s Elliptische Differentialgleichung (DE-588)4014485-9 s Numerisches Verfahren (DE-588)4128130-5 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9789810202927 Erscheint auch als Druck-Ausgabe 981020292X http://www.worldscientific.com/worldscibooks/10.1142/1151#t=toc Verlag URL des Erstveroeffentlichers Volltext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030036698&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Li, Zi-Cai 1939- Numerical methods for elliptic problems with singularities boundary methods and nonconforming combinations Differential equations, Elliptic / Numerical solutions Singularities (Mathematics) Elliptische Differentialgleichung (DE-588)4014485-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Singularität Mathematik (DE-588)4077459-4 gnd |
| subject_GND | (DE-588)4014485-9 (DE-588)4128130-5 (DE-588)4077459-4 |
| title | Numerical methods for elliptic problems with singularities boundary methods and nonconforming combinations |
| title_auth | Numerical methods for elliptic problems with singularities boundary methods and nonconforming combinations |
| title_exact_search | Numerical methods for elliptic problems with singularities boundary methods and nonconforming combinations |
| title_full | Numerical methods for elliptic problems with singularities boundary methods and nonconforming combinations Zi Cai Li |
| title_fullStr | Numerical methods for elliptic problems with singularities boundary methods and nonconforming combinations Zi Cai Li |
| title_full_unstemmed | Numerical methods for elliptic problems with singularities boundary methods and nonconforming combinations Zi Cai Li |
| title_short | Numerical methods for elliptic problems with singularities |
| title_sort | numerical methods for elliptic problems with singularities boundary methods and nonconforming combinations |
| title_sub | boundary methods and nonconforming combinations |
| topic | Differential equations, Elliptic / Numerical solutions Singularities (Mathematics) Elliptische Differentialgleichung (DE-588)4014485-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Singularität Mathematik (DE-588)4077459-4 gnd |
| topic_facet | Differential equations, Elliptic / Numerical solutions Singularities (Mathematics) Elliptische Differentialgleichung Numerisches Verfahren Singularität Mathematik |
| url | http://www.worldscientific.com/worldscibooks/10.1142/1151#t=toc http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030036698&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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