Smoothed point interpolation methods: G space theory and weakened weakforms
Based on the widely used finite element method (FEM) and the latest meshfree methods, a next generation of numerical method called Smoothed Point Interpolation Method (S-PIM) has been recently developed. The S-PIM is an innovative and effective combination of the FEM and the meshfree methods, and en...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2013
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| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | Based on the widely used finite element method (FEM) and the latest meshfree methods, a next generation of numerical method called Smoothed Point Interpolation Method (S-PIM) has been recently developed. The S-PIM is an innovative and effective combination of the FEM and the meshfree methods, and enables automation in computation, modeling and simulations - one of the most important features of the next generation methods. This important book describes the various S-PIM models in a systematic, concise and easy-to-understand manner. The underlying principles for the next generation of computational methods, G space theory, novel weakened weak (W2) formulations, techniques for shape functions, formulation procedures, and implementation strategies are presented in detail. Numerous examples are provided to demonstrate the efficiency and accuracy of the S-PIM solutions in comparison with the FEM and other existing methods. Effective techniques to compute solution bounds employing both S-PIM and FEM are highlighted to obtain certified solutions with both upper and lower bounds. The book also presents a systematically way to conduct adaptive analysis for solutions of desired accuracy using these bound properties, which is another key feature of the next generation of computational methods. This will benefit researchers, engineers and students who are venturing into new areas of research and computer code development |
| Beschreibung: | xxi, 674 p. ill. (some col.) |
| ISBN: | 9789814452854 |
Internformat
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| 520 | |a Based on the widely used finite element method (FEM) and the latest meshfree methods, a next generation of numerical method called Smoothed Point Interpolation Method (S-PIM) has been recently developed. The S-PIM is an innovative and effective combination of the FEM and the meshfree methods, and enables automation in computation, modeling and simulations - one of the most important features of the next generation methods. This important book describes the various S-PIM models in a systematic, concise and easy-to-understand manner. The underlying principles for the next generation of computational methods, G space theory, novel weakened weak (W2) formulations, techniques for shape functions, formulation procedures, and implementation strategies are presented in detail. Numerous examples are provided to demonstrate the efficiency and accuracy of the S-PIM solutions in comparison with the FEM and other existing methods. Effective techniques to compute solution bounds employing both S-PIM and FEM are highlighted to obtain certified solutions with both upper and lower bounds. The book also presents a systematically way to conduct adaptive analysis for solutions of desired accuracy using these bound properties, which is another key feature of the next generation of computational methods. This will benefit researchers, engineers and students who are venturing into new areas of research and computer code development | ||
| 650 | 4 | |a G-spaces | |
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| author | Liu, G. R. |
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| id | DE-604.BV044639309 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T07:57:55Z |
| institution | BVB |
| isbn | 9789814452854 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030037282 |
| oclc_num | 1012673376 |
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| physical | xxi, 674 p. ill. (some col.) |
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| publishDate | 2013 |
| publishDateSearch | 2013 |
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| publisher | World Scientific Pub. Co. |
| record_format | marc |
| spelling | Liu, G. R. Verfasser aut Smoothed point interpolation methods G space theory and weakened weakforms G.R. Liu, G.Y. Zhang Singapore World Scientific Pub. Co. c2013 xxi, 674 p. ill. (some col.) txt rdacontent c rdamedia cr rdacarrier Based on the widely used finite element method (FEM) and the latest meshfree methods, a next generation of numerical method called Smoothed Point Interpolation Method (S-PIM) has been recently developed. The S-PIM is an innovative and effective combination of the FEM and the meshfree methods, and enables automation in computation, modeling and simulations - one of the most important features of the next generation methods. This important book describes the various S-PIM models in a systematic, concise and easy-to-understand manner. The underlying principles for the next generation of computational methods, G space theory, novel weakened weak (W2) formulations, techniques for shape functions, formulation procedures, and implementation strategies are presented in detail. Numerous examples are provided to demonstrate the efficiency and accuracy of the S-PIM solutions in comparison with the FEM and other existing methods. Effective techniques to compute solution bounds employing both S-PIM and FEM are highlighted to obtain certified solutions with both upper and lower bounds. The book also presents a systematically way to conduct adaptive analysis for solutions of desired accuracy using these bound properties, which is another key feature of the next generation of computational methods. This will benefit researchers, engineers and students who are venturing into new areas of research and computer code development G-spaces Interpolation Erscheint auch als Druck-Ausgabe 9789814452847 (hardcover : alk. paper) http://www.worldscientific.com/worldscibooks/10.1142/8742#t=toc Verlag URL des Erstveroeffentlichers Volltext |
| spellingShingle | Liu, G. R. Smoothed point interpolation methods G space theory and weakened weakforms G-spaces Interpolation |
| title | Smoothed point interpolation methods G space theory and weakened weakforms |
| title_auth | Smoothed point interpolation methods G space theory and weakened weakforms |
| title_exact_search | Smoothed point interpolation methods G space theory and weakened weakforms |
| title_full | Smoothed point interpolation methods G space theory and weakened weakforms G.R. Liu, G.Y. Zhang |
| title_fullStr | Smoothed point interpolation methods G space theory and weakened weakforms G.R. Liu, G.Y. Zhang |
| title_full_unstemmed | Smoothed point interpolation methods G space theory and weakened weakforms G.R. Liu, G.Y. Zhang |
| title_short | Smoothed point interpolation methods |
| title_sort | smoothed point interpolation methods g space theory and weakened weakforms |
| title_sub | G space theory and weakened weakforms |
| topic | G-spaces Interpolation |
| topic_facet | G-spaces Interpolation |
| url | http://www.worldscientific.com/worldscibooks/10.1142/8742#t=toc |
| work_keys_str_mv | AT liugr smoothedpointinterpolationmethodsgspacetheoryandweakenedweakforms |