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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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/103126 http://hdl.handle.net/10220/19175 |
| Summary: | 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. |
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