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| A-posteriori compression scheme for wavelet Galerkin BEM |
| Received:November 14, 2008 Revised:November 24, 2009 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20106005 |
| KeyWord:wavelet Galerkin BEM sparse matrix complexity matrix compression |
| Author | Institution |
| 校金友 |
西北工业大学 航天学院,西安 |
| 曹衍闯 |
西北工业大学 航天学院,西安 |
| 文立华 |
西北工业大学 航天学院,西安 |
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| Abstract: |
| Wavelet Galerkin boundary element method is introduced. We put our emphasis on the matrix compression using the quasi-vanishing moment wavelets. The fact that there are still a large number of entries with small values in the non-standard form matrix after the a-priori compression motivates us to study the a-posteriori compression, in order to further reduce the memory requirement in storing the compressed matrix. An algorithm for the a-posteriori compression is proposed. Numerical example concerning Stokes flow problem clearly shown that, with the a-posteriori compression, the memory requirement for non-standard form can be reduced to a factor larger than 5 while persevering the convergence rate of the underlying Galerkin scheme. |