Fourier BEM: Generalization of Boundary Element Methods by Fourier Transform
Like FEM, the boundary element method (BEM) provides a general numerical tool for the solution of complex engineering problems. In the last decades, the range of its applications has remarkably been enlarged. Therefore dynamic and nonlinear problems can be tackled. Nevertheless, they still demand an...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2002
|
| Schriftenreihe: | Lecture Notes in Applied Mechanics
5 |
| Schlagworte: | |
| Online-Zugang: | DE-573 DE-634 URL des Erstveröffentlichers |
| Zusammenfassung: | Like FEM, the boundary element method (BEM) provides a general numerical tool for the solution of complex engineering problems. In the last decades, the range of its applications has remarkably been enlarged. Therefore dynamic and nonlinear problems can be tackled. Nevertheless, they still demand an explicit expression of a fundamental solution, which is only known in simple cases. Therefore, the present book proposes an alternative BEM-formulation based on the Fourier transform, which can be applied to almost all cases relevant in engineering mechanics. The basic principle is presented for the heat equation. Applications are taken from solid mechanics (e.g. poroelasticity, thermoelasticity). Transient and stationary examples are given as well as linear and nonlinear. Completed with a mathematical and mechanical glossary, the book will serve as a comprehensive text book linking applied mathematics to real world engineering problems |
| Beschreibung: | 1 Online-Ressource (II, 182 p) |
| ISBN: | 9783540456261 |
| DOI: | 10.1007/978-3-540-45626-1 |
Internformat
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| 520 | |a Like FEM, the boundary element method (BEM) provides a general numerical tool for the solution of complex engineering problems. In the last decades, the range of its applications has remarkably been enlarged. Therefore dynamic and nonlinear problems can be tackled. Nevertheless, they still demand an explicit expression of a fundamental solution, which is only known in simple cases. Therefore, the present book proposes an alternative BEM-formulation based on the Fourier transform, which can be applied to almost all cases relevant in engineering mechanics. The basic principle is presented for the heat equation. Applications are taken from solid mechanics (e.g. poroelasticity, thermoelasticity). Transient and stationary examples are given as well as linear and nonlinear. Completed with a mathematical and mechanical glossary, the book will serve as a comprehensive text book linking applied mathematics to real world engineering problems | ||
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Datensatz im Suchindex
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| author | Duddeck, Fabian M. E. |
| author_facet | Duddeck, Fabian M. E. |
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| author_sort | Duddeck, Fabian M. E. |
| author_variant | f m e d fme fmed |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-540-45626-1 |
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| indexdate | 2025-01-30T09:01:13Z |
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| isbn | 9783540456261 |
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| spelling | Duddeck, Fabian M. E. Verfasser aut Fourier BEM Generalization of Boundary Element Methods by Fourier Transform by Fabian M. E. Duddeck Berlin, Heidelberg Springer Berlin Heidelberg 2002 1 Online-Ressource (II, 182 p) txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Applied Mechanics 5 Like FEM, the boundary element method (BEM) provides a general numerical tool for the solution of complex engineering problems. In the last decades, the range of its applications has remarkably been enlarged. Therefore dynamic and nonlinear problems can be tackled. Nevertheless, they still demand an explicit expression of a fundamental solution, which is only known in simple cases. Therefore, the present book proposes an alternative BEM-formulation based on the Fourier transform, which can be applied to almost all cases relevant in engineering mechanics. The basic principle is presented for the heat equation. Applications are taken from solid mechanics (e.g. poroelasticity, thermoelasticity). Transient and stationary examples are given as well as linear and nonlinear. Completed with a mathematical and mechanical glossary, the book will serve as a comprehensive text book linking applied mathematics to real world engineering problems Mathematics Analysis Fourier Analysis Theoretical and Applied Mechanics Computational Intelligence Numerical Analysis Simulation and Modeling Computer simulation Mathematical analysis Analysis (Mathematics) Fourier analysis Numerical analysis Computational intelligence Mechanics Mechanics, Applied Technische Mechanik (DE-588)4059231-5 gnd rswk-swf Randelemente-Methode (DE-588)4076508-8 gnd rswk-swf Fourier-Transformation (DE-588)4018014-1 gnd rswk-swf 1\p (DE-588)4113937-9 Hochschulschrift gnd-content Fourier-Transformation (DE-588)4018014-1 s Randelemente-Methode (DE-588)4076508-8 s Technische Mechanik (DE-588)4059231-5 s 2\p DE-604 Erscheint auch als Druck-Ausgabe 9783642077272 https://doi.org/10.1007/978-3-540-45626-1 Verlag URL des Erstveröffentlichers 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 |
| spellingShingle | Duddeck, Fabian M. E. Fourier BEM Generalization of Boundary Element Methods by Fourier Transform Mathematics Analysis Fourier Analysis Theoretical and Applied Mechanics Computational Intelligence Numerical Analysis Simulation and Modeling Computer simulation Mathematical analysis Analysis (Mathematics) Fourier analysis Numerical analysis Computational intelligence Mechanics Mechanics, Applied Technische Mechanik (DE-588)4059231-5 gnd Randelemente-Methode (DE-588)4076508-8 gnd Fourier-Transformation (DE-588)4018014-1 gnd |
| subject_GND | (DE-588)4059231-5 (DE-588)4076508-8 (DE-588)4018014-1 (DE-588)4113937-9 |
| title | Fourier BEM Generalization of Boundary Element Methods by Fourier Transform |
| title_auth | Fourier BEM Generalization of Boundary Element Methods by Fourier Transform |
| title_exact_search | Fourier BEM Generalization of Boundary Element Methods by Fourier Transform |
| title_full | Fourier BEM Generalization of Boundary Element Methods by Fourier Transform by Fabian M. E. Duddeck |
| title_fullStr | Fourier BEM Generalization of Boundary Element Methods by Fourier Transform by Fabian M. E. Duddeck |
| title_full_unstemmed | Fourier BEM Generalization of Boundary Element Methods by Fourier Transform by Fabian M. E. Duddeck |
| title_short | Fourier BEM |
| title_sort | fourier bem generalization of boundary element methods by fourier transform |
| title_sub | Generalization of Boundary Element Methods by Fourier Transform |
| topic | Mathematics Analysis Fourier Analysis Theoretical and Applied Mechanics Computational Intelligence Numerical Analysis Simulation and Modeling Computer simulation Mathematical analysis Analysis (Mathematics) Fourier analysis Numerical analysis Computational intelligence Mechanics Mechanics, Applied Technische Mechanik (DE-588)4059231-5 gnd Randelemente-Methode (DE-588)4076508-8 gnd Fourier-Transformation (DE-588)4018014-1 gnd |
| topic_facet | Mathematics Analysis Fourier Analysis Theoretical and Applied Mechanics Computational Intelligence Numerical Analysis Simulation and Modeling Computer simulation Mathematical analysis Analysis (Mathematics) Fourier analysis Numerical analysis Computational intelligence Mechanics Mechanics, Applied Technische Mechanik Randelemente-Methode Fourier-Transformation Hochschulschrift |
| url | https://doi.org/10.1007/978-3-540-45626-1 |
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