Fast multipole boundary element method: theory and applications in engineering
The fast multipole method is one of the most important algorithms in computing developed in the 20th century. Along with the fast multipole method, the boundary element method (BEM) has also emerged as a powerful method for modeling large-scale problems. BEM models with millions of unknowns on the b...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2009
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| Schlagworte: | |
| Online-Zugang: | DE-12 DE-92 URL des Erstveröffentlichers |
| Zusammenfassung: | The fast multipole method is one of the most important algorithms in computing developed in the 20th century. Along with the fast multipole method, the boundary element method (BEM) has also emerged as a powerful method for modeling large-scale problems. BEM models with millions of unknowns on the boundary can now be solved on desktop computers using the fast multipole BEM. This is the first book on the fast multipole BEM, which brings together the classical theories in BEM formulations and the recent development of the fast multipole method. Two- and three-dimensional potential, elastostatic, Stokes flow, and acoustic wave problems are covered, supplemented with exercise problems and computer source codes. Applications in modeling nanocomposite materials, bio-materials, fuel cells, acoustic waves, and image-based simulations are demonstrated to show the potential of the fast multipole BEM. Enables students, researchers, and engineers to learn the BEM and fast multipole method from a single source |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xviii, 235 pages) |
| ISBN: | 9780511605345 |
| DOI: | 10.1017/CBO9780511605345 |
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| 505 | 8 | |a Conventional boundary element method for potential problems -- Fast multipole boundary element method for potential problems -- Elastostatic problems -- Stokes flow problems -- Acoustic wave problems -- Appendix A : analytical integration of the Kernels -- Appendix B : sample computer programs | |
| 520 | |a The fast multipole method is one of the most important algorithms in computing developed in the 20th century. Along with the fast multipole method, the boundary element method (BEM) has also emerged as a powerful method for modeling large-scale problems. BEM models with millions of unknowns on the boundary can now be solved on desktop computers using the fast multipole BEM. This is the first book on the fast multipole BEM, which brings together the classical theories in BEM formulations and the recent development of the fast multipole method. Two- and three-dimensional potential, elastostatic, Stokes flow, and acoustic wave problems are covered, supplemented with exercise problems and computer source codes. Applications in modeling nanocomposite materials, bio-materials, fuel cells, acoustic waves, and image-based simulations are demonstrated to show the potential of the fast multipole BEM. Enables students, researchers, and engineers to learn the BEM and fast multipole method from a single source | ||
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| author | Liu, Yijun 1959- |
| author_facet | Liu, Yijun 1959- |
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| contents | Conventional boundary element method for potential problems -- Fast multipole boundary element method for potential problems -- Elastostatic problems -- Stokes flow problems -- Acoustic wave problems -- Appendix A : analytical integration of the Kernels -- Appendix B : sample computer programs |
| ctrlnum | (ZDB-20-CBO)CR9780511605345 (OCoLC)967602150 (DE-599)BVBBV043942964 |
| dewey-full | 620.001/51866 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.001/51866 |
| dewey-search | 620.001/51866 |
| dewey-sort | 3620.001 551866 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511605345 |
| format | Electronic eBook |
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| id | DE-604.BV043942964 |
| illustrated | Not Illustrated |
| indexdate | 2025-01-30T09:01:12Z |
| institution | BVB |
| isbn | 9780511605345 |
| language | English |
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| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xviii, 235 pages) |
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| publishDate | 2009 |
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| publisher | Cambridge University Press |
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| spelling | Liu, Yijun 1959- Verfasser aut Fast multipole boundary element method theory and applications in engineering Yijun Liu Cambridge Cambridge University Press 2009 1 online resource (xviii, 235 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) Conventional boundary element method for potential problems -- Fast multipole boundary element method for potential problems -- Elastostatic problems -- Stokes flow problems -- Acoustic wave problems -- Appendix A : analytical integration of the Kernels -- Appendix B : sample computer programs The fast multipole method is one of the most important algorithms in computing developed in the 20th century. Along with the fast multipole method, the boundary element method (BEM) has also emerged as a powerful method for modeling large-scale problems. BEM models with millions of unknowns on the boundary can now be solved on desktop computers using the fast multipole BEM. This is the first book on the fast multipole BEM, which brings together the classical theories in BEM formulations and the recent development of the fast multipole method. Two- and three-dimensional potential, elastostatic, Stokes flow, and acoustic wave problems are covered, supplemented with exercise problems and computer source codes. Applications in modeling nanocomposite materials, bio-materials, fuel cells, acoustic waves, and image-based simulations are demonstrated to show the potential of the fast multipole BEM. Enables students, researchers, and engineers to learn the BEM and fast multipole method from a single source Boundary element methods Randelemente-Methode (DE-588)4076508-8 gnd rswk-swf Randelemente-Methode (DE-588)4076508-8 s 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-11659-6 Erscheint auch als Druckausgabe 978-1-107-65566-9 https://doi.org/10.1017/CBO9780511605345 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Liu, Yijun 1959- Fast multipole boundary element method theory and applications in engineering Conventional boundary element method for potential problems -- Fast multipole boundary element method for potential problems -- Elastostatic problems -- Stokes flow problems -- Acoustic wave problems -- Appendix A : analytical integration of the Kernels -- Appendix B : sample computer programs Boundary element methods Randelemente-Methode (DE-588)4076508-8 gnd |
| subject_GND | (DE-588)4076508-8 |
| title | Fast multipole boundary element method theory and applications in engineering |
| title_auth | Fast multipole boundary element method theory and applications in engineering |
| title_exact_search | Fast multipole boundary element method theory and applications in engineering |
| title_full | Fast multipole boundary element method theory and applications in engineering Yijun Liu |
| title_fullStr | Fast multipole boundary element method theory and applications in engineering Yijun Liu |
| title_full_unstemmed | Fast multipole boundary element method theory and applications in engineering Yijun Liu |
| title_short | Fast multipole boundary element method |
| title_sort | fast multipole boundary element method theory and applications in engineering |
| title_sub | theory and applications in engineering |
| topic | Boundary element methods Randelemente-Methode (DE-588)4076508-8 gnd |
| topic_facet | Boundary element methods Randelemente-Methode |
| url | https://doi.org/10.1017/CBO9780511605345 |
| work_keys_str_mv | AT liuyijun fastmultipoleboundaryelementmethodtheoryandapplicationsinengineering |