Mathematical theory of finite and boundary element methods:
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Basel u.a.
Birkhäuser
1990
|
| Schriftenreihe: | Deutsche Mathematiker-Vereinigung: DMV-Seminar
15 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Auf dem Umschlag u. auf d. Titelseite fälschlich: Albert H. Schatz |
| Beschreibung: | 276 S. |
| ISBN: | 376432211X 081762211X |
Internformat
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| 245 | 1 | 0 | |a Mathematical theory of finite and boundary element methods |c Alfred H. Schatz ; Vidar Thomée ; Wolfgang L. Wendland |
| 264 | 1 | |a Basel u.a. |b Birkhäuser |c 1990 | |
| 300 | |a 276 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Deutsche Mathematiker-Vereinigung: DMV-Seminar |v 15 | |
| 500 | |a Auf dem Umschlag u. auf d. Titelseite fälschlich: Albert H. Schatz | ||
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| 700 | 1 | |a Wendland, Wolfgang L. |d 1936- |e Sonstige |0 (DE-588)109122437 |4 oth | |
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Datensatz im Suchindex
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| adam_text |
5
Contents
Preface 7
Part I: An Analysis of the Finite Element Method for
Second Order Elliptic Boundary Value Problems
byA.H. Schatz
0. Introduction 9
1. Some function spaces, notation and preliminaries 11
2. Some finite element spaces and their properties 21
3. Orthogonal projections onto finite element spaces in L2, in H1 and HJ . . . 39
4. Galerkin finite element method for second order elliptic boundary value
problems. Basic H1 and L2 estimates 51
5. Indefinite second order elliptic problems 67
6. Local error estimates 73
7. An introduction to grid refinement. An application to boundary value
problems with non convex corners 85
8. Maximum norm estimates for the L2 projection. A method using weighted
norms 99
9. Maximum norm estimates for the Galerkin finite element method for
second order elliptic problems 109
References 126
Part II: The Finite Element Method for Parabolic Problems
by Vidar Thomee
1. Introduction 135
2. Non smooth data error estimates for the semidiscrete problem 161
3. Completely discrete schemes 173
4. A nonlinear problem 191
References 212
Part III: Boundary Element Methods for Elliptic Problems
byW. L.Wendland
1 Boundary Integral Equations
1.1 The exterior Neumann problem for the Laplacian 223
1.2 Exterior viscous flow problems 230
1.3 Scattering problems in acoustics 232
1.4 Some problems of elastostatics 234
1.5 The boundary integral equations of the direct approach for general
elliptic boundary value problems of even order 237
6
2 The Characterization of Boundary Integral Operators and Galerkin
Boundary Element Methods
2.1 The representation and the order of boundary integral operators . . . 239
2.2 Variational formulation and strong ellipticity 244
2.3 Boundary element Galerkin methods 247
3 Collocation Methods
3.1 Collocation with smoothest splines of piecewise odd polynomials . . . 257
3.2 Naive spline collocation for n = 2 on almost uniform partitions . 264
4 Concluding Remarks 267
Bibliography 269 |
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| discipline | Mathematik |
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| genre_facet | Konferenzschrift 1987 Düsseldorf |
| id | DE-604.BV004292999 |
| illustrated | Not Illustrated |
| indexdate | 2025-01-30T09:00:53Z |
| institution | BVB |
| isbn | 376432211X 081762211X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002670499 |
| oclc_num | 231153468 |
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| physical | 276 S. |
| publishDate | 1990 |
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| publisher | Birkhäuser |
| record_format | marc |
| series | Deutsche Mathematiker-Vereinigung: DMV-Seminar |
| series2 | Deutsche Mathematiker-Vereinigung: DMV-Seminar |
| spelling | Mathematical theory of finite and boundary element methods Alfred H. Schatz ; Vidar Thomée ; Wolfgang L. Wendland Basel u.a. Birkhäuser 1990 276 S. txt rdacontent n rdamedia nc rdacarrier Deutsche Mathematiker-Vereinigung: DMV-Seminar 15 Auf dem Umschlag u. auf d. Titelseite fälschlich: Albert H. Schatz Randelemente-Methode (DE-588)4076508-8 gnd rswk-swf Theorie (DE-588)4059787-8 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 1987 Düsseldorf gnd-content Randelemente-Methode (DE-588)4076508-8 s Theorie (DE-588)4059787-8 s DE-604 Finite-Elemente-Methode (DE-588)4017233-8 s Schatz, Alfred H. Sonstige oth Thomée, Vidar 1933- Sonstige (DE-588)108383547 oth Wendland, Wolfgang L. 1936- Sonstige (DE-588)109122437 oth Deutsche Mathematiker-Vereinigung: DMV-Seminar 15 (DE-604)BV000020322 15 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002670499&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mathematical theory of finite and boundary element methods Deutsche Mathematiker-Vereinigung: DMV-Seminar Randelemente-Methode (DE-588)4076508-8 gnd Theorie (DE-588)4059787-8 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd |
| subject_GND | (DE-588)4076508-8 (DE-588)4059787-8 (DE-588)4017233-8 (DE-588)1071861417 |
| title | Mathematical theory of finite and boundary element methods |
| title_auth | Mathematical theory of finite and boundary element methods |
| title_exact_search | Mathematical theory of finite and boundary element methods |
| title_full | Mathematical theory of finite and boundary element methods Alfred H. Schatz ; Vidar Thomée ; Wolfgang L. Wendland |
| title_fullStr | Mathematical theory of finite and boundary element methods Alfred H. Schatz ; Vidar Thomée ; Wolfgang L. Wendland |
| title_full_unstemmed | Mathematical theory of finite and boundary element methods Alfred H. Schatz ; Vidar Thomée ; Wolfgang L. Wendland |
| title_short | Mathematical theory of finite and boundary element methods |
| title_sort | mathematical theory of finite and boundary element methods |
| topic | Randelemente-Methode (DE-588)4076508-8 gnd Theorie (DE-588)4059787-8 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd |
| topic_facet | Randelemente-Methode Theorie Finite-Elemente-Methode Konferenzschrift 1987 Düsseldorf |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002670499&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000020322 |
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