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| Error analysis applied in Taylor expansions multipole BEM for three-dimensional elasticity problems |
| Revised:December 30, 2005 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20081023 |
| KeyWord:multipole-BEM,Taylor expansions,GMRES,elasticity problems,error estimate |
| CHEN Ze-jun XIAO Hong |
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| Abstract: |
| The Taylor expansions multipole BEM(TEMBEM) is an effective method in the way of improvement computational efficiency.The memory and operations requirements of multipole BEM are proportional to the unknowns N,and it can speed up the computation and adapt to large-scale numerical computation.The precision of TEMBEM is deteriorative in comparison with conventional BEM.The error and precision of TEMBEM for 3D elasticity problems are researched.This paper presents a comparison between conventional BEM and TEMBEM,and analyzes the accuracy and error of the Taylor series.The Taylor expansions properties of kernel function r are researched and the error estimate formulas of 3D elasticity problems are deduced.The principles to partition far-field and near-field are presented,and the approaches to improving precision are specified.The numerical experiments show the validity and practicability of the error estimate formulas of TEMBEM. |
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