Infinite element methods:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Beijing
Peking Univ. Press [u.a.]
1995
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 209 S. graph. Darst. |
| ISBN: | 7301027818 3528066105 |
Staff View
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Record in the Search Index
| _version_ | 1804124714824630273 |
|---|---|
| adam_text | Contents
1 Algorithm 1
1.1 Two dimensional exterior problems of the Laplace equation 1
1.2 Fourier method 6
1.3 Iterative method 8
1.4 General elements 11
1.5 Three dimensional exterior problems of the Laplace equation 13
1.6 Problems on other unbounded domains 15
1.7 Corner problems 15
1.8 Plane elasticity problems 18
1.9 Calculation of stress intensity factors 26
1.10 Exterior Stokes problems 30
1.11 Nonhomogeneous equations and nonhomogeneous boundary
conditions 37
1.12 Boundary value problems of the biharmonic equation 41
1.13 Multigrid algorithm 44
1.14 Helmholtz equation 46
1.15 Elliptic equations with variable coefficients 52
1.16 Parabolic equations 55
1.17 Variational inequalities 56
2 Foundations of algorithm 59
2.1 Infinite element spaces 59
2.2 Transfer matrices 64
2.3 Further discussion for the infinite element spaces and the
transfer matrices 67
2.4 Transfer matrices for the plane elasticity problems 71
2.5 Combined stiffness matrices 74
2.6 Structure of the general solutions 75
2.7 Block circular stiffness matrices 81
2.8 Iterative method of the first type 83
2.9 Iterative method of the second type 86
2.10 General elliptic systems 92
2.11 Exterior Stokes problems (II) 99
2.12 Nonhomogeneous equations and the Helmholtz equation 106
2.13 Discontinuous boundary value problems 116
2.14 Structure of the solutions near a singular point to interface
problems 118
8 CONTENTS
3 Convergence 121
3.1 Some auxiliary inequalities 121
3.2 Approximate properties of piecewise polynomials 124
3.3 H1 and L2 convergence 127
3.4 Maximum principle and uniform convergence 131
3.5 A superconvergence estimate 137
3.6 Convergence by terms near the singular point 152
3.7 Multigrid algorithm (II) 162
3.8 Parabolic equations (II) 167
3.9 Variational inequalities (II) 174
4 Examples 181
4.1 A glance at the error 181
4.2 Boundary value problems and eigenvalue problems 183
4.3 Equations with variable coefficients 186
4.4 Stress intensity factors 188
4.5 Stokes external flow 190
4.6 Square driven cavity 193
4.7 Navier Stokes external flow 197
4.8 A numerical solution to a variational inequality 202
Bibliography 205
|
| any_adam_object | 1 |
| author | Ying, Lung-an |
| author_facet | Ying, Lung-an |
| author_role | aut |
| author_sort | Ying, Lung-an |
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| bvnumber | BV010296954 |
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| classification_rvk | SK 910 |
| classification_tum | MAT 674f |
| ctrlnum | (OCoLC)421880733 (DE-599)BVBBV010296954 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV010296954 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:50:04Z |
| institution | BVB |
| isbn | 7301027818 3528066105 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006850773 |
| oclc_num | 421880733 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-20 DE-824 DE-703 DE-12 DE-19 DE-BY-UBM DE-706 DE-634 DE-83 DE-188 |
| owner_facet | DE-91G DE-BY-TUM DE-20 DE-824 DE-703 DE-12 DE-19 DE-BY-UBM DE-706 DE-634 DE-83 DE-188 |
| physical | 209 S. graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Peking Univ. Press [u.a.] |
| record_format | marc |
| spelling | Ying, Lung-an Verfasser aut Infinite element methods Lung-an Ying Beijing Peking Univ. Press [u.a.] 1995 209 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Algorithmes Analyse mathématique Analyse numérique Infinite-Elemente-Methode (DE-588)4405138-4 gnd rswk-swf Infinite-Elemente-Methode (DE-588)4405138-4 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006850773&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ying, Lung-an Infinite element methods Algorithmes Analyse mathématique Analyse numérique Infinite-Elemente-Methode (DE-588)4405138-4 gnd |
| subject_GND | (DE-588)4405138-4 |
| title | Infinite element methods |
| title_auth | Infinite element methods |
| title_exact_search | Infinite element methods |
| title_full | Infinite element methods Lung-an Ying |
| title_fullStr | Infinite element methods Lung-an Ying |
| title_full_unstemmed | Infinite element methods Lung-an Ying |
| title_short | Infinite element methods |
| title_sort | infinite element methods |
| topic | Algorithmes Analyse mathématique Analyse numérique Infinite-Elemente-Methode (DE-588)4405138-4 gnd |
| topic_facet | Algorithmes Analyse mathématique Analyse numérique Infinite-Elemente-Methode |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006850773&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT yinglungan infiniteelementmethods |