Adaptive refinement analysis for the coupled boundary element method-reproducing kernel particle method
The boundary element method (BEM) and the meshless methods have been applied to solve many engineering problems. It is often desirable and beneficial to combine the BEM and meshless methods in order to exploit their advantages while evading their disadvantages. In this study, a review is first condu...
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| Other Authors: | |
| Format: | Thesis |
| Language: | English |
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2008
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| Online Access: | https://hdl.handle.net/10356/12047 |
| _version_ | 1811688346197426176 |
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| author | Shuai, Ying Yong |
| author2 | Lee Chi King |
| author_facet | Lee Chi King Shuai, Ying Yong |
| author_sort | Shuai, Ying Yong |
| collection | NTU |
| description | The boundary element method (BEM) and the meshless methods have been applied to solve many engineering problems. It is often desirable and beneficial to combine the BEM and meshless methods in order to exploit their advantages while evading their disadvantages. In this study, a review is first conducted to provide background on the a posteriori error estimation and adaptive refinement for the BEM, the meshless methods and the coupled methods for the BEM and the meshless methods. Based on the formulation of the BEM and the reproducing kernel particle method (RKPM), a new coupled method of the BEM and the RKPM is proposed for two dimensional elastostatic problems. Numerical experiments on four benchmark problems are also carried out to compare the convergence rates of the BEM, the RKPM and the coupled BE-RKPM. |
| first_indexed | 2024-10-01T05:30:45Z |
| format | Thesis |
| id | ntu-10356/12047 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T05:30:45Z |
| publishDate | 2008 |
| record_format | dspace |
| spelling | ntu-10356/120472023-03-03T19:21:36Z Adaptive refinement analysis for the coupled boundary element method-reproducing kernel particle method Shuai, Ying Yong Lee Chi King School of Civil and Environmental Engineering DRNTU::Engineering::Mathematics and analysis::Simulations The boundary element method (BEM) and the meshless methods have been applied to solve many engineering problems. It is often desirable and beneficial to combine the BEM and meshless methods in order to exploit their advantages while evading their disadvantages. In this study, a review is first conducted to provide background on the a posteriori error estimation and adaptive refinement for the BEM, the meshless methods and the coupled methods for the BEM and the meshless methods. Based on the formulation of the BEM and the reproducing kernel particle method (RKPM), a new coupled method of the BEM and the RKPM is proposed for two dimensional elastostatic problems. Numerical experiments on four benchmark problems are also carried out to compare the convergence rates of the BEM, the RKPM and the coupled BE-RKPM. Doctor of Philosophy (CEE) 2008-09-25T06:35:49Z 2008-09-25T06:35:49Z 2006 2006 Thesis Shuai, Y. Y. (2006). Adaptive refinement analysis for the coupled boundary element method-reproducing kernel particle method. Doctoral thesis, Nanyang Technological University, Singapore. https://hdl.handle.net/10356/12047 10.32657/10356/12047 en Nanyang Technological University 179 p. application/pdf |
| spellingShingle | DRNTU::Engineering::Mathematics and analysis::Simulations Shuai, Ying Yong Adaptive refinement analysis for the coupled boundary element method-reproducing kernel particle method |
| title | Adaptive refinement analysis for the coupled boundary element method-reproducing kernel particle method |
| title_full | Adaptive refinement analysis for the coupled boundary element method-reproducing kernel particle method |
| title_fullStr | Adaptive refinement analysis for the coupled boundary element method-reproducing kernel particle method |
| title_full_unstemmed | Adaptive refinement analysis for the coupled boundary element method-reproducing kernel particle method |
| title_short | Adaptive refinement analysis for the coupled boundary element method-reproducing kernel particle method |
| title_sort | adaptive refinement analysis for the coupled boundary element method reproducing kernel particle method |
| topic | DRNTU::Engineering::Mathematics and analysis::Simulations |
| url | https://hdl.handle.net/10356/12047 |
| work_keys_str_mv | AT shuaiyingyong adaptiverefinementanalysisforthecoupledboundaryelementmethodreproducingkernelparticlemethod |