Numerical methods for elliptic problems with singularities: boundary methods and nonconforming combinations
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Singapore u.a.
World Scient. Publ.
1990
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 241 - 252 |
| Physical Description: | XV, 258 S. graph. Darst. |
| ISBN: | 981020292X |
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MARC
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| 245 | 1 | 0 | |a Numerical methods for elliptic problems with singularities |b boundary methods and nonconforming combinations |c Zi Cai Li |
| 264 | 1 | |a Singapore u.a. |b World Scient. Publ. |c 1990 | |
| 300 | |a XV, 258 S. |b graph. Darst. | ||
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Record in the Search Index
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| adam_text | Contents
Preface vii
Acknowledgments xi
Chapter 1: Introduction l
Part I: Boundary Methods for Solving Elliptic
Problems with Singularities 7
Chapter 2: Boundary Methods for Laplace s
Boundary Value Problems
with Singularities 9
2.1. Introduction 9
2.2. Notations and Preliminaries 11
2.3. Approximation Problems 13
2.4. Error Estimates 17
2.5. Numerical Experiments 22
Chapter 3: A Complicated Singularity
Problem 31
3.1. Introduction 31
3.2. Particular Solutions on Subdomains 32
3.2.1. Near the crack singularity 34
3.2.2. Near infinity 36
3.2.3. Near the mild singularity 37
3.3. A Boundary Method 40
xiv Contents
3.4. Numerical Experiments : 43
Chapter 4: Boundary Methods for Interface
Problems 53
4.1. Introduction 53
4.2. Complete Eigenfunctions for
the Sturm Liouville System 56
4.3. Boundary Approximations 63
4.4. Error Analysis 65
4.5. Bounds for the Constant k 71
4.6. Integral Approximation 75
4.7. Stability Analysis 77
4.8. Numerical Experiments 86
Part II: Nonconforming Combinations for
Solving Elliptic Problems with
Singularities 99
Chapter 5: Nonconforming Combinations of
Ritz Galerkin and Finite Element
Methods 101
5.1. Introduction 101
5.2. A Nonconforming Approach 103
5.3. Error Estimates and a New Coupling
Strategy 110
5.4. Stability of Numerical Solutions 120
5.5. Numerical Experiments for Motz s
Problem 123
Chapter 6: Nonconforming Combinations for
Unbounded Domain Problems 139
6.1. Description of Methods 139
6.2. Error Bounds and Coupling Strategy 147
6.3. Proof of Theorem 6.2.1 149
6.4. Numerical Experiments 154
Contents xv
Chapter 7: Nonconforming Combinations for
Interface Problems 165
7.1. Description of Methods 165
7.2. Error Estimates and Coupling Strategy 177
7.3. Numerical Experiments 184
Chapter 8: Nonconforming Combinations
of Ritz Galerkin and Finite
Difference Methods 199
8.1. Introduction 199
8.2. Finite Difference Methods 201
8.3. Combinations with Finite Difference
Methods 208
8.3.1. Combined methods 208
8.3.2. A combination of Ritz Galerkin and
finite difference methods 211
8.4. Error Estimates for Motz s Problem in
the Norm || h 214
8.5. Error Estimates for Motz s Problem in
the Norm IF~!I,, 217
8.6. Numerical Experiments 227
Epilogue 239
References 241
Glossary of Symbols 253
Index 257
|
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| id | DE-604.BV006599240 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:49:00Z |
| institution | BVB |
| isbn | 981020292X |
| language | English |
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| physical | XV, 258 S. graph. Darst. |
| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| publisher | World Scient. Publ. |
| record_format | marc |
| spelling | Li, Zi Cai Verfasser aut Numerical methods for elliptic problems with singularities boundary methods and nonconforming combinations Zi Cai Li Singapore u.a. World Scient. Publ. 1990 XV, 258 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 241 - 252 Singularität Mathematik (DE-588)4077459-4 gnd rswk-swf Elliptische Differentialgleichung (DE-588)4014485-9 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Singularität Mathematik (DE-588)4077459-4 s Elliptische Differentialgleichung (DE-588)4014485-9 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004214420&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Li, Zi Cai Numerical methods for elliptic problems with singularities boundary methods and nonconforming combinations Singularität Mathematik (DE-588)4077459-4 gnd Elliptische Differentialgleichung (DE-588)4014485-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| subject_GND | (DE-588)4077459-4 (DE-588)4014485-9 (DE-588)4128130-5 |
| 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 | Singularität Mathematik (DE-588)4077459-4 gnd Elliptische Differentialgleichung (DE-588)4014485-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| topic_facet | Singularität Mathematik Elliptische Differentialgleichung Numerisches Verfahren |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004214420&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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