The Boundary Element Method:
The Boundary Element Method is a simple, efficient and cost effective computational technique which provides numerical solutions - for objects of any shap- for a wide range of scientific and engineering problems. In dealing with the development of the mathematics of the Boundary Element Method the a...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1994
|
| Schriftenreihe: | Solid Mechanics and Its Applications
27 |
| Schlagworte: | |
| Online-Zugang: | DE-634 URL des Erstveröffentlichers |
| Zusammenfassung: | The Boundary Element Method is a simple, efficient and cost effective computational technique which provides numerical solutions - for objects of any shap- for a wide range of scientific and engineering problems. In dealing with the development of the mathematics of the Boundary Element Method the aim has been at every stage, only to present new material when sufficient experience and practice of simpler material has been gained. Since the usual background of many readers will be of differential equations, the connection of differential equations with integral equations is explained in Chapter 1, together with analytical and numerical methods of solution. This information on integral equations provides a base for the work of subsequent chapters. The mathematical formulation of boundary integral equations for potential problems - derived from the more familiar Laplace partial differential equation which governs many important physical problems - is set out in Chapter 2. It should be noted here that this initial formulation of the boundary integral equations reduces the dimensionality of the problem. In the key Chapter 3, the essentials of the Boundary Element Method are presented. This first presentation of the Boundary Element Method is in its simplest and most approachable form - two dimensional, with the shape of the boundary approximated by straight lines and the functions approximated by constants over each of the straight lines |
| Beschreibung: | 1 Online-Ressource (X, 230 p) |
| ISBN: | 9789401107846 |
| DOI: | 10.1007/978-94-011-0784-6 |
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| 520 | |a The Boundary Element Method is a simple, efficient and cost effective computational technique which provides numerical solutions - for objects of any shap- for a wide range of scientific and engineering problems. In dealing with the development of the mathematics of the Boundary Element Method the aim has been at every stage, only to present new material when sufficient experience and practice of simpler material has been gained. Since the usual background of many readers will be of differential equations, the connection of differential equations with integral equations is explained in Chapter 1, together with analytical and numerical methods of solution. This information on integral equations provides a base for the work of subsequent chapters. The mathematical formulation of boundary integral equations for potential problems - derived from the more familiar Laplace partial differential equation which governs many important physical problems - is set out in Chapter 2. It should be noted here that this initial formulation of the boundary integral equations reduces the dimensionality of the problem. In the key Chapter 3, the essentials of the Boundary Element Method are presented. This first presentation of the Boundary Element Method is in its simplest and most approachable form - two dimensional, with the shape of the boundary approximated by straight lines and the functions approximated by constants over each of the straight lines | ||
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Datensatz im Suchindex
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| discipline | Physik |
| doi_str_mv | 10.1007/978-94-011-0784-6 |
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| id | DE-604.BV045185379 |
| illustrated | Not Illustrated |
| indexdate | 2025-01-30T09:01:13Z |
| institution | BVB |
| isbn | 9789401107846 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030574557 |
| oclc_num | 1053798501 |
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| owner_facet | DE-634 |
| physical | 1 Online-Ressource (X, 230 p) |
| psigel | ZDB-2-ENG ZDB-2-ENG_Archiv ZDB-2-ENG ZDB-2-ENG_Archiv |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Springer Netherlands |
| record_format | marc |
| series2 | Solid Mechanics and Its Applications |
| spelling | Hall, W. S. Verfasser aut The Boundary Element Method by W. S. Hall Dordrecht Springer Netherlands 1994 1 Online-Ressource (X, 230 p) txt rdacontent c rdamedia cr rdacarrier Solid Mechanics and Its Applications 27 The Boundary Element Method is a simple, efficient and cost effective computational technique which provides numerical solutions - for objects of any shap- for a wide range of scientific and engineering problems. In dealing with the development of the mathematics of the Boundary Element Method the aim has been at every stage, only to present new material when sufficient experience and practice of simpler material has been gained. Since the usual background of many readers will be of differential equations, the connection of differential equations with integral equations is explained in Chapter 1, together with analytical and numerical methods of solution. This information on integral equations provides a base for the work of subsequent chapters. The mathematical formulation of boundary integral equations for potential problems - derived from the more familiar Laplace partial differential equation which governs many important physical problems - is set out in Chapter 2. It should be noted here that this initial formulation of the boundary integral equations reduces the dimensionality of the problem. In the key Chapter 3, the essentials of the Boundary Element Method are presented. This first presentation of the Boundary Element Method is in its simplest and most approachable form - two dimensional, with the shape of the boundary approximated by straight lines and the functions approximated by constants over each of the straight lines Physics Mechanics Numeric Computing Civil Engineering Mechanical Engineering Numerical analysis Mechanical engineering Civil engineering Randelemente-Methode (DE-588)4076508-8 gnd rswk-swf Randelemente-Methode (DE-588)4076508-8 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9789401043366 https://doi.org/10.1007/978-94-011-0784-6 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Hall, W. S. The Boundary Element Method Physics Mechanics Numeric Computing Civil Engineering Mechanical Engineering Numerical analysis Mechanical engineering Civil engineering Randelemente-Methode (DE-588)4076508-8 gnd |
| subject_GND | (DE-588)4076508-8 |
| title | The Boundary Element Method |
| title_auth | The Boundary Element Method |
| title_exact_search | The Boundary Element Method |
| title_full | The Boundary Element Method by W. S. Hall |
| title_fullStr | The Boundary Element Method by W. S. Hall |
| title_full_unstemmed | The Boundary Element Method by W. S. Hall |
| title_short | The Boundary Element Method |
| title_sort | the boundary element method |
| topic | Physics Mechanics Numeric Computing Civil Engineering Mechanical Engineering Numerical analysis Mechanical engineering Civil engineering Randelemente-Methode (DE-588)4076508-8 gnd |
| topic_facet | Physics Mechanics Numeric Computing Civil Engineering Mechanical Engineering Numerical analysis Mechanical engineering Civil engineering Randelemente-Methode |
| url | https://doi.org/10.1007/978-94-011-0784-6 |
| work_keys_str_mv | AT hallws theboundaryelementmethod |