Analysis of a Finite Element Method: PDE/PROTRAN
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer US
1985
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This text can be used for two quite different purposes. It can be used as a reference book for the PDElPROTRAN user· who wishes to know more about the methods employed by PDE/PROTRAN Edition 1 (or its predecessor, TWODEPEP) in solving two-dimensional partial differential equations. However, because PDE/PROTRAN solves such a wide class of problems, an outline of the algorithms contained in PDElPROTRAN is also quite suitable as a text for an introductory graduate level finite element course. Algorithms which solve elliptic, parabolic, hyperbolic, and eigenvalue partial differential equation problems are pre sented, as are techniques appropriate for treatment of singularities, curved boundaries, nonsymmetric and nonlinear problems, and systems of PDEs. Direct and iterative linear equation solvers are studied. Although the text emphasizes those algorithms which are actually implemented in PDEI PROTRAN, and does not discuss in detail one- and three-dimensional problems, or collocation and least squares finite element methods, for example, many of the most commonly used techniques are studied in detail. Algorithms applicable to general problems are naturally emphasized, and not special purpose algorithms which may be more efficient for specialized problems, such as Laplace's equation. It can be argued, however, that the student will better understand the finite element method after seeing the details of one successful implementation than after seeing a broad overview of the many types of elements, linear equation solvers, and other options in existence |
| Beschreibung: | 1 Online-Ressource (X, 154 p) |
| ISBN: | 9781468463316 9780387962269 |
| DOI: | 10.1007/978-1-4684-6331-6 |
Internformat
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Datensatz im Suchindex
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| any_adam_object | |
| author | Sewell, Granville |
| author_facet | Sewell, Granville |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 518 - Numerical analysis |
| dewey-raw | 518 |
| dewey-search | 518 |
| dewey-sort | 3518 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4684-6331-6 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T01:21:08Z |
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| isbn | 9781468463316 9780387962269 |
| language | English |
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| spelling | Sewell, Granville Verfasser aut Analysis of a Finite Element Method PDE/PROTRAN by Granville Sewell New York, NY Springer US 1985 1 Online-Ressource (X, 154 p) txt rdacontent c rdamedia cr rdacarrier This text can be used for two quite different purposes. It can be used as a reference book for the PDElPROTRAN user· who wishes to know more about the methods employed by PDE/PROTRAN Edition 1 (or its predecessor, TWODEPEP) in solving two-dimensional partial differential equations. However, because PDE/PROTRAN solves such a wide class of problems, an outline of the algorithms contained in PDElPROTRAN is also quite suitable as a text for an introductory graduate level finite element course. Algorithms which solve elliptic, parabolic, hyperbolic, and eigenvalue partial differential equation problems are pre sented, as are techniques appropriate for treatment of singularities, curved boundaries, nonsymmetric and nonlinear problems, and systems of PDEs. Direct and iterative linear equation solvers are studied. Although the text emphasizes those algorithms which are actually implemented in PDEI PROTRAN, and does not discuss in detail one- and three-dimensional problems, or collocation and least squares finite element methods, for example, many of the most commonly used techniques are studied in detail. Algorithms applicable to general problems are naturally emphasized, and not special purpose algorithms which may be more efficient for specialized problems, such as Laplace's equation. It can be argued, however, that the student will better understand the finite element method after seeing the details of one successful implementation than after seeing a broad overview of the many types of elements, linear equation solvers, and other options in existence Mathematics Numerical analysis Numerical Analysis Mathematik Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf PDE/PROTRAN (DE-588)4115525-7 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Datenverarbeitung (DE-588)4011152-0 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s Numerisches Verfahren (DE-588)4128130-5 s 1\p DE-604 Finite-Elemente-Methode (DE-588)4017233-8 s Datenverarbeitung (DE-588)4011152-0 s 2\p DE-604 PDE/PROTRAN (DE-588)4115525-7 s 3\p DE-604 4\p DE-604 5\p DE-604 https://doi.org/10.1007/978-1-4684-6331-6 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Sewell, Granville Analysis of a Finite Element Method PDE/PROTRAN Mathematics Numerical analysis Numerical Analysis Mathematik Numerisches Verfahren (DE-588)4128130-5 gnd PDE/PROTRAN (DE-588)4115525-7 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Datenverarbeitung (DE-588)4011152-0 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4128130-5 (DE-588)4115525-7 (DE-588)4017233-8 (DE-588)4011152-0 (DE-588)4044779-0 |
| title | Analysis of a Finite Element Method PDE/PROTRAN |
| title_auth | Analysis of a Finite Element Method PDE/PROTRAN |
| title_exact_search | Analysis of a Finite Element Method PDE/PROTRAN |
| title_full | Analysis of a Finite Element Method PDE/PROTRAN by Granville Sewell |
| title_fullStr | Analysis of a Finite Element Method PDE/PROTRAN by Granville Sewell |
| title_full_unstemmed | Analysis of a Finite Element Method PDE/PROTRAN by Granville Sewell |
| title_short | Analysis of a Finite Element Method |
| title_sort | analysis of a finite element method pde protran |
| title_sub | PDE/PROTRAN |
| topic | Mathematics Numerical analysis Numerical Analysis Mathematik Numerisches Verfahren (DE-588)4128130-5 gnd PDE/PROTRAN (DE-588)4115525-7 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Datenverarbeitung (DE-588)4011152-0 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Mathematics Numerical analysis Numerical Analysis Mathematik Numerisches Verfahren PDE/PROTRAN Finite-Elemente-Methode Datenverarbeitung Partielle Differentialgleichung |
| url | https://doi.org/10.1007/978-1-4684-6331-6 |
| work_keys_str_mv | AT sewellgranville analysisofafiniteelementmethodpdeprotran |