Spectral elements for transport dominated equations: with 12 tables
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1997
|
| Schriftenreihe: | Lecture notes in computational science and engineering
1 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 197 - 208 |
| Beschreibung: | VIII, 211 S. graph. Darst. |
| ISBN: | 3540626492 |
Internformat
MARC
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| 100 | 1 | |a Funaro, Daniele |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Spectral elements for transport dominated equations |b with 12 tables |c Daniele Funaro |
| 246 | 1 | 3 | |a Spectral elements for transport-dominated equations |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1997 | |
| 300 | |a VIII, 211 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in computational science and engineering |v 1 | |
| 500 | |a Literaturverz. S. 197 - 208 | ||
| 650 | 7 | |a Approximation, Théorie de l' |2 ram | |
| 650 | 7 | |a Equations différentielles partielles - Solutions numériques |2 ram | |
| 650 | 7 | |a Théorie spectrale (Mathématiques) |2 ram | |
| 650 | 4 | |a Approximation theory | |
| 650 | 4 | |a Differential equations, Partial |x Numerical solutions | |
| 650 | 4 | |a Spectral theory (Mathematics) | |
| 650 | 0 | 7 | |a Spektralmethode |0 (DE-588)4224817-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Advektion |0 (DE-588)4206361-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Kollokationsmethode |0 (DE-588)4164696-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Randwertproblem |0 (DE-588)4048395-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Diffusion |0 (DE-588)4012277-3 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Advektion |0 (DE-588)4206361-9 |D s |
| 689 | 0 | 1 | |a Diffusion |0 (DE-588)4012277-3 |D s |
| 689 | 0 | 2 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |D s |
| 689 | 0 | 3 | |a Randwertproblem |0 (DE-588)4048395-2 |D s |
| 689 | 0 | 4 | |a Kollokationsmethode |0 (DE-588)4164696-4 |D s |
| 689 | 0 | 5 | |a Spektralmethode |0 (DE-588)4224817-6 |D s |
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Datensatz im Suchindex
| _version_ | 1804125716296499200 |
|---|---|
| adam_text | Contents
1. The Poisson equation in the square
1.1 Statement of the problem and preliminary results 1
1.2 The collocation method for the Poisson equation 3
1.3 Convergence analysis of the collocation method 8
1.4 Numerical implementation of the collocation method 13
1.5 The numerical algorithm for the Poisson equation 18
1.6 Application to the eikonal equation 21
1.7 More about boundary conditions 25
1.8 A Sturm Liouville problem 26
2. Steady transport diffusion equations
2.1 A more general boundary value problem 31
2.2 The upwind grid 33
2.3 The collocation method at the upwind grid 42
2.4 The numerical algorithm for the transport diffusion equation 48
3. Other kinds of boundary conditions
3.1 Neumann type boundary conditions 55
3.2 Boundary conditions in weak form 58
3.3 The numerical algorithm for the Neumann problem 62
3.4 More general boundary conditions 68
3.5 An approximation of the Poincare Steklov operator 72
4. The spectral element method
4.1 Complex geometries 75
4.2 The Poisson equation in a complex domain 83
4.3 Approximation by spectral elements 86
4.4 An iterative algorithm for the domain decomposition method 90
X Spectral Elements for Transport Dominated Equations
4.5 Improvements 103
4.6 Transport diffusion equations in complex geometries 110
4.7 A model problem in Electrostatics 122
5. Time discretization
5.1 Time dependent advection diffusion problems 127
5.2 The incompressible Navier Stokes equations 137
5.3 Approximation of the Navier Stokes equations 140
5.4 The nonlinear Schrodinger equation 150
5.5 Semiconductor device equations 155
6. Extensions
6.1 A posteriori error estimators 163
6.2 Pure hyperbolic problems 168
6.3 Elements with bended sides: application to the dam problem 175
6.4 The Poisson equation in 3 D 181
A. Appendix
A.I Characterizing properties of Legendre polynomials 187
A.2 Zeroes and quadrature formulas 189
A.3 Interpolation and evaluation of derivatives 192
A.4 Approximation results 193
A.5 List of symbols 194
References 197
Index 209
|
| any_adam_object | 1 |
| author | Funaro, Daniele |
| author_facet | Funaro, Daniele |
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| author_sort | Funaro, Daniele |
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| dewey-raw | 515/.353 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV011217815 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:05:59Z |
| institution | BVB |
| isbn | 3540626492 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007525940 |
| oclc_num | 36498879 |
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| physical | VIII, 211 S. graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in computational science and engineering |
| series2 | Lecture notes in computational science and engineering |
| spelling | Funaro, Daniele Verfasser aut Spectral elements for transport dominated equations with 12 tables Daniele Funaro Spectral elements for transport-dominated equations Berlin [u.a.] Springer 1997 VIII, 211 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in computational science and engineering 1 Literaturverz. S. 197 - 208 Approximation, Théorie de l' ram Equations différentielles partielles - Solutions numériques ram Théorie spectrale (Mathématiques) ram Approximation theory Differential equations, Partial Numerical solutions Spectral theory (Mathematics) Spektralmethode (DE-588)4224817-6 gnd rswk-swf Advektion (DE-588)4206361-9 gnd rswk-swf Kollokationsmethode (DE-588)4164696-4 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Randwertproblem (DE-588)4048395-2 gnd rswk-swf Diffusion (DE-588)4012277-3 gnd rswk-swf Advektion (DE-588)4206361-9 s Diffusion (DE-588)4012277-3 s Partielle Differentialgleichung (DE-588)4044779-0 s Randwertproblem (DE-588)4048395-2 s Kollokationsmethode (DE-588)4164696-4 s Spektralmethode (DE-588)4224817-6 s DE-604 Lecture notes in computational science and engineering 1 (DE-604)BV011386476 1 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007525940&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Funaro, Daniele Spectral elements for transport dominated equations with 12 tables Lecture notes in computational science and engineering Approximation, Théorie de l' ram Equations différentielles partielles - Solutions numériques ram Théorie spectrale (Mathématiques) ram Approximation theory Differential equations, Partial Numerical solutions Spectral theory (Mathematics) Spektralmethode (DE-588)4224817-6 gnd Advektion (DE-588)4206361-9 gnd Kollokationsmethode (DE-588)4164696-4 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Randwertproblem (DE-588)4048395-2 gnd Diffusion (DE-588)4012277-3 gnd |
| subject_GND | (DE-588)4224817-6 (DE-588)4206361-9 (DE-588)4164696-4 (DE-588)4044779-0 (DE-588)4048395-2 (DE-588)4012277-3 |
| title | Spectral elements for transport dominated equations with 12 tables |
| title_alt | Spectral elements for transport-dominated equations |
| title_auth | Spectral elements for transport dominated equations with 12 tables |
| title_exact_search | Spectral elements for transport dominated equations with 12 tables |
| title_full | Spectral elements for transport dominated equations with 12 tables Daniele Funaro |
| title_fullStr | Spectral elements for transport dominated equations with 12 tables Daniele Funaro |
| title_full_unstemmed | Spectral elements for transport dominated equations with 12 tables Daniele Funaro |
| title_short | Spectral elements for transport dominated equations |
| title_sort | spectral elements for transport dominated equations with 12 tables |
| title_sub | with 12 tables |
| topic | Approximation, Théorie de l' ram Equations différentielles partielles - Solutions numériques ram Théorie spectrale (Mathématiques) ram Approximation theory Differential equations, Partial Numerical solutions Spectral theory (Mathematics) Spektralmethode (DE-588)4224817-6 gnd Advektion (DE-588)4206361-9 gnd Kollokationsmethode (DE-588)4164696-4 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Randwertproblem (DE-588)4048395-2 gnd Diffusion (DE-588)4012277-3 gnd |
| topic_facet | Approximation, Théorie de l' Equations différentielles partielles - Solutions numériques Théorie spectrale (Mathématiques) Approximation theory Differential equations, Partial Numerical solutions Spectral theory (Mathematics) Spektralmethode Advektion Kollokationsmethode Partielle Differentialgleichung Randwertproblem Diffusion |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007525940&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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