The Complex Variable Boundary Element Method:
The Complex Variable Boundary Element Method or CVBEM is a generalization of the Cauchy integral formula into a boundary integral equation method or BIEM. This generalization allows an immediate and extremely valuable transfer of the modeling techniques used in real variable boundary integral equati...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1984
|
| Schriftenreihe: | Lecture Notes in Engineering
9 |
| Schlagworte: | |
| Online-Zugang: | DE-634 URL des Erstveröffentlichers |
| Zusammenfassung: | The Complex Variable Boundary Element Method or CVBEM is a generalization of the Cauchy integral formula into a boundary integral equation method or BIEM. This generalization allows an immediate and extremely valuable transfer of the modeling techniques used in real variable boundary integral equation methods (or boundary element methods) to the CVBEM. Consequently, modeling techniques for dissimilar materials, anisotropic materials, and time advancement, can be directly applied without modification to the CVBEM. An extremely useful feature offered by the CVBEM is that the pro duced approximation functions are analytic within the domain enclosed by the problem boundary and, therefore, exactly satisfy the two-dimensional Laplace equation throughout the problem domain. Another feature of the CVBEM is the integrations of the boundary integrals along each boundary element are solved exactly without the need for numerical integration. Additionally, the error analysis of the CVBEM approximation functions is workable by the easy-to-understand concept of relative error. A sophistication of the relative error analysis is the generation of an approximative boundary upon which the CVBEM approximation function exactly solves the boundary conditions of the boundary value problem' (of the Laplace equation), and the goodness of approximation is easily seen as a closeness-of-fit between the approximative and true problem boundaries |
| Beschreibung: | 1 Online-Ressource (XII, 246 p) |
| ISBN: | 9783642823619 |
| DOI: | 10.1007/978-3-642-82361-9 |
Internformat
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| 520 | |a The Complex Variable Boundary Element Method or CVBEM is a generalization of the Cauchy integral formula into a boundary integral equation method or BIEM. This generalization allows an immediate and extremely valuable transfer of the modeling techniques used in real variable boundary integral equation methods (or boundary element methods) to the CVBEM. Consequently, modeling techniques for dissimilar materials, anisotropic materials, and time advancement, can be directly applied without modification to the CVBEM. An extremely useful feature offered by the CVBEM is that the pro duced approximation functions are analytic within the domain enclosed by the problem boundary and, therefore, exactly satisfy the two-dimensional Laplace equation throughout the problem domain. Another feature of the CVBEM is the integrations of the boundary integrals along each boundary element are solved exactly without the need for numerical integration. Additionally, the error analysis of the CVBEM approximation functions is workable by the easy-to-understand concept of relative error. A sophistication of the relative error analysis is the generation of an approximative boundary upon which the CVBEM approximation function exactly solves the boundary conditions of the boundary value problem' (of the Laplace equation), and the goodness of approximation is easily seen as a closeness-of-fit between the approximative and true problem boundaries | ||
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Datensatz im Suchindex
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| author | Hromadka, Theodore V. |
| author_facet | Hromadka, Theodore V. |
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| discipline | Mathematik |
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| id | DE-604.BV045185407 |
| illustrated | Not Illustrated |
| indexdate | 2025-01-30T09:01:13Z |
| institution | BVB |
| isbn | 9783642823619 |
| language | English |
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| physical | 1 Online-Ressource (XII, 246 p) |
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| spelling | Hromadka, Theodore V. Verfasser aut The Complex Variable Boundary Element Method by Theodore V. Hromadka Berlin, Heidelberg Springer Berlin Heidelberg 1984 1 Online-Ressource (XII, 246 p) txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Engineering 9 The Complex Variable Boundary Element Method or CVBEM is a generalization of the Cauchy integral formula into a boundary integral equation method or BIEM. This generalization allows an immediate and extremely valuable transfer of the modeling techniques used in real variable boundary integral equation methods (or boundary element methods) to the CVBEM. Consequently, modeling techniques for dissimilar materials, anisotropic materials, and time advancement, can be directly applied without modification to the CVBEM. An extremely useful feature offered by the CVBEM is that the pro duced approximation functions are analytic within the domain enclosed by the problem boundary and, therefore, exactly satisfy the two-dimensional Laplace equation throughout the problem domain. Another feature of the CVBEM is the integrations of the boundary integrals along each boundary element are solved exactly without the need for numerical integration. Additionally, the error analysis of the CVBEM approximation functions is workable by the easy-to-understand concept of relative error. A sophistication of the relative error analysis is the generation of an approximative boundary upon which the CVBEM approximation function exactly solves the boundary conditions of the boundary value problem' (of the Laplace equation), and the goodness of approximation is easily seen as a closeness-of-fit between the approximative and true problem boundaries Mathematics Numerical Analysis Complexity Civil Engineering Mechanics Numerical analysis Complexity, Computational Civil engineering Randelemente-Methode (DE-588)4076508-8 gnd rswk-swf Komplexe Variable (DE-588)4164905-9 gnd rswk-swf Randelemente-Methode (DE-588)4076508-8 s Komplexe Variable (DE-588)4164905-9 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9783540137436 https://doi.org/10.1007/978-3-642-82361-9 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Hromadka, Theodore V. The Complex Variable Boundary Element Method Mathematics Numerical Analysis Complexity Civil Engineering Mechanics Numerical analysis Complexity, Computational Civil engineering Randelemente-Methode (DE-588)4076508-8 gnd Komplexe Variable (DE-588)4164905-9 gnd |
| subject_GND | (DE-588)4076508-8 (DE-588)4164905-9 |
| title | The Complex Variable Boundary Element Method |
| title_auth | The Complex Variable Boundary Element Method |
| title_exact_search | The Complex Variable Boundary Element Method |
| title_full | The Complex Variable Boundary Element Method by Theodore V. Hromadka |
| title_fullStr | The Complex Variable Boundary Element Method by Theodore V. Hromadka |
| title_full_unstemmed | The Complex Variable Boundary Element Method by Theodore V. Hromadka |
| title_short | The Complex Variable Boundary Element Method |
| title_sort | the complex variable boundary element method |
| topic | Mathematics Numerical Analysis Complexity Civil Engineering Mechanics Numerical analysis Complexity, Computational Civil engineering Randelemente-Methode (DE-588)4076508-8 gnd Komplexe Variable (DE-588)4164905-9 gnd |
| topic_facet | Mathematics Numerical Analysis Complexity Civil Engineering Mechanics Numerical analysis Complexity, Computational Civil engineering Randelemente-Methode Komplexe Variable |
| url | https://doi.org/10.1007/978-3-642-82361-9 |
| work_keys_str_mv | AT hromadkatheodorev thecomplexvariableboundaryelementmethod |