Smoothed point interpolation methods :: G space theory and weakened weakforms /
This book describes the various Smoothed Point Interpolation Method (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...
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| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
[Hackensack] New Jersey :
World Scientific,
[2013]
|
| Subjects: | |
| Online Access: | DE-862 DE-863 |
| Summary: | This book describes the various Smoothed Point Interpolation Method (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. |
| Physical Description: | 1 online resource (xxi, 674 pages) : illustrations |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9789814452854 9814452858 |
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| 505 | 0 | |a Chapter 1. Preliminaries -- chapter 2. G spaces -- chapter 3. PIM shape function creation -- chapter 4. Strain field construction -- chatper 5. Weak and weakened weak formulations -- chapter 6. Node-based smoothed point interpolation method (NS-PIM) -- chapter 7. Edge-based smoothed point interpolation method (ES-PIM) -- chapter 8. Cell-based smoothed point interpolation method (CS-PIM) -- chapter 9. The cell-based smoothed alpha radial point interpolation method (CS-aRPIM) -- chapter 10. Strain-constructed point interpolation method (SC-PIM) -- chapter 11. S-PIM for heat transfer and thermoelasticity problems -- chapter 12. Singular CS-RPIM for fracture mechanics problems -- chapter 13. Adaptive analysis using S-PIMs. | |
| 520 | |a This book describes the various Smoothed Point Interpolation Method (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. | ||
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| author | Liu, G. R. (Gui-Rong) Zhang, G-Y. (Guiyong) |
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| author_facet | Liu, G. R. (Gui-Rong) Zhang, G-Y. (Guiyong) |
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| contents | Chapter 1. Preliminaries -- chapter 2. G spaces -- chapter 3. PIM shape function creation -- chapter 4. Strain field construction -- chatper 5. Weak and weakened weak formulations -- chapter 6. Node-based smoothed point interpolation method (NS-PIM) -- chapter 7. Edge-based smoothed point interpolation method (ES-PIM) -- chapter 8. Cell-based smoothed point interpolation method (CS-PIM) -- chapter 9. The cell-based smoothed alpha radial point interpolation method (CS-aRPIM) -- chapter 10. Strain-constructed point interpolation method (SC-PIM) -- chapter 11. S-PIM for heat transfer and thermoelasticity problems -- chapter 12. Singular CS-RPIM for fracture mechanics problems -- chapter 13. Adaptive analysis using S-PIMs. |
| ctrlnum | (OCoLC)857769612 |
| dewey-full | 516/.1 |
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| dewey-ones | 516 - Geometry |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocn857769612 |
| illustrated | Illustrated |
| indexdate | 2025-04-11T08:41:34Z |
| institution | BVB |
| isbn | 9789814452854 9814452858 |
| language | English |
| oclc_num | 857769612 |
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| spelling | Liu, G. R. (Gui-Rong), author. https://id.oclc.org/worldcat/entity/E39PCjr7FmwCV4VQX8crFfcwqP http://id.loc.gov/authorities/names/n2002015407 Smoothed point interpolation methods : G space theory and weakened weakforms / G-R Liu, University of Cincinnati, USA, G-Y Zhang, the University of Western Australia, Australia. [Hackensack] New Jersey : World Scientific, [2013] ©2013 1 online resource (xxi, 674 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references and index. Print version record. Chapter 1. Preliminaries -- chapter 2. G spaces -- chapter 3. PIM shape function creation -- chapter 4. Strain field construction -- chatper 5. Weak and weakened weak formulations -- chapter 6. Node-based smoothed point interpolation method (NS-PIM) -- chapter 7. Edge-based smoothed point interpolation method (ES-PIM) -- chapter 8. Cell-based smoothed point interpolation method (CS-PIM) -- chapter 9. The cell-based smoothed alpha radial point interpolation method (CS-aRPIM) -- chapter 10. Strain-constructed point interpolation method (SC-PIM) -- chapter 11. S-PIM for heat transfer and thermoelasticity problems -- chapter 12. Singular CS-RPIM for fracture mechanics problems -- chapter 13. Adaptive analysis using S-PIMs. This book describes the various Smoothed Point Interpolation Method (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. G-spaces. http://id.loc.gov/authorities/subjects/sh87000628 Interpolation. http://id.loc.gov/authorities/subjects/sh85067492 Interpolation. MATHEMATICS Geometry General. bisacsh G-spaces fast Interpolation fast Zhang, G-Y. (Guiyong), author. https://id.oclc.org/worldcat/entity/E39PCjDBXgv8CHDCDhVHcrKJ9P http://id.loc.gov/authorities/names/n2013026760 has work: Smoothed point interpolation methods (Text) https://id.oclc.org/worldcat/entity/E39PCGKQ4Y4pyvVPGKhwVQCfbd https://id.oclc.org/worldcat/ontology/hasWork Print version: Liu, G.R. (Gui-Rong). Smoothed point interpolation methods. New Jersey : World Scientific, [2013] 9789814452847 (DLC) 2013011473 (OCoLC)826997406 |
| spellingShingle | Liu, G. R. (Gui-Rong) Zhang, G-Y. (Guiyong) Smoothed point interpolation methods : G space theory and weakened weakforms / Chapter 1. Preliminaries -- chapter 2. G spaces -- chapter 3. PIM shape function creation -- chapter 4. Strain field construction -- chatper 5. Weak and weakened weak formulations -- chapter 6. Node-based smoothed point interpolation method (NS-PIM) -- chapter 7. Edge-based smoothed point interpolation method (ES-PIM) -- chapter 8. Cell-based smoothed point interpolation method (CS-PIM) -- chapter 9. The cell-based smoothed alpha radial point interpolation method (CS-aRPIM) -- chapter 10. Strain-constructed point interpolation method (SC-PIM) -- chapter 11. S-PIM for heat transfer and thermoelasticity problems -- chapter 12. Singular CS-RPIM for fracture mechanics problems -- chapter 13. Adaptive analysis using S-PIMs. G-spaces. http://id.loc.gov/authorities/subjects/sh87000628 Interpolation. http://id.loc.gov/authorities/subjects/sh85067492 Interpolation. MATHEMATICS Geometry General. bisacsh G-spaces fast Interpolation fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh87000628 http://id.loc.gov/authorities/subjects/sh85067492 |
| 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, University of Cincinnati, USA, G-Y Zhang, the University of Western Australia, Australia. |
| title_fullStr | Smoothed point interpolation methods : G space theory and weakened weakforms / G-R Liu, University of Cincinnati, USA, G-Y Zhang, the University of Western Australia, Australia. |
| title_full_unstemmed | Smoothed point interpolation methods : G space theory and weakened weakforms / G-R Liu, University of Cincinnati, USA, G-Y Zhang, the University of Western Australia, Australia. |
| 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. http://id.loc.gov/authorities/subjects/sh87000628 Interpolation. http://id.loc.gov/authorities/subjects/sh85067492 Interpolation. MATHEMATICS Geometry General. bisacsh G-spaces fast Interpolation fast |
| topic_facet | G-spaces. Interpolation. MATHEMATICS Geometry General. G-spaces Interpolation |
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