On adaptive refinement analysis for the coupled boundary element method : reproducing kernel particle method
An adaptive refinement procedure for the coupled boundary element-reproducing kernel particle method (coupled BE-RKPM) is suggested. The procedure is developed by combining a h-adaptive BEM refinement scheme based on the residual approach and an adaptive RKPM refinement scheme based on an extract...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2014
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| Online Access: | https://hdl.handle.net/10356/103126 http://hdl.handle.net/10220/19175 |
| _version_ | 1826114263395074048 |
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| author | Lee, Chi King Shuai, Y. Y. |
| author2 | School of Civil and Environmental Engineering |
| author_facet | School of Civil and Environmental Engineering Lee, Chi King Shuai, Y. Y. |
| author_sort | Lee, Chi King |
| collection | NTU |
| description | An adaptive refinement procedure for the coupled boundary element-reproducing kernel
particle method (coupled BE-RKPM) is suggested. The procedure is developed by combining
a h-adaptive BEM refinement scheme based on the residual approach and an adaptive RKPM
refinement scheme based on an extraction type a posteriori error estimator. During the
adaptive refinement process for the coupled analysis, the displacement compatibility
condition along the interface boundary of the BEM and the RKPM domains is maintained by
using a penalty approach and a simple node spacing adjustment procedure. Thus, no specially
formulated finite element is required along the interface boundary between the RKPM and
the BEM domains. Numerical examples show that the suggested procedure significantly
reduces the effect of singularity and nearly optimal convergence rate is obtained. |
| first_indexed | 2024-10-01T03:36:37Z |
| format | Journal Article |
| id | ntu-10356/103126 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T03:36:37Z |
| publishDate | 2014 |
| record_format | dspace |
| spelling | ntu-10356/1031262020-03-07T11:45:53Z On adaptive refinement analysis for the coupled boundary element method : reproducing kernel particle method Lee, Chi King Shuai, Y. Y. School of Civil and Environmental Engineering DRNTU::Engineering::Civil engineering::Structures and design An adaptive refinement procedure for the coupled boundary element-reproducing kernel particle method (coupled BE-RKPM) is suggested. The procedure is developed by combining a h-adaptive BEM refinement scheme based on the residual approach and an adaptive RKPM refinement scheme based on an extraction type a posteriori error estimator. During the adaptive refinement process for the coupled analysis, the displacement compatibility condition along the interface boundary of the BEM and the RKPM domains is maintained by using a penalty approach and a simple node spacing adjustment procedure. Thus, no specially formulated finite element is required along the interface boundary between the RKPM and the BEM domains. Numerical examples show that the suggested procedure significantly reduces the effect of singularity and nearly optimal convergence rate is obtained. Accepted version 2014-04-09T03:29:17Z 2019-12-06T21:06:11Z 2014-04-09T03:29:17Z 2019-12-06T21:06:11Z 2007 2007 Journal Article Lee, C. K., & Shuai, Y. Y. (2007). On Adaptive Refinement Analysis for the Coupled Boundary Element Method—Reproducing Kernel Particle Method. International Journal for Computational Methods in Engineering Science and Mechanics, 8(5), 263-272. https://hdl.handle.net/10356/103126 http://hdl.handle.net/10220/19175 10.1080/15502280701334392 en International journal for computational methods in engineering science and mechanics © 2007 Taylor & Francis. This is the author created version of a work that has been peer reviewed and accepted for publication by International Journal of Computational Methods in Engineering Science and Mechanics, Taylor & Francis. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [http://dx.doi.org/10.1080/15502280701334392]. application/pdf |
| spellingShingle | DRNTU::Engineering::Civil engineering::Structures and design Lee, Chi King Shuai, Y. Y. On adaptive refinement analysis for the coupled boundary element method : reproducing kernel particle method |
| title | On adaptive refinement analysis for the coupled boundary element method : reproducing kernel particle method |
| title_full | On adaptive refinement analysis for the coupled boundary element method : reproducing kernel particle method |
| title_fullStr | On adaptive refinement analysis for the coupled boundary element method : reproducing kernel particle method |
| title_full_unstemmed | On adaptive refinement analysis for the coupled boundary element method : reproducing kernel particle method |
| title_short | On adaptive refinement analysis for the coupled boundary element method : reproducing kernel particle method |
| title_sort | on adaptive refinement analysis for the coupled boundary element method reproducing kernel particle method |
| topic | DRNTU::Engineering::Civil engineering::Structures and design |
| url | https://hdl.handle.net/10356/103126 http://hdl.handle.net/10220/19175 |
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