On the computational efficiency of the error estimator for Guyan reduction
An improved error estimator for Guyan reduction is presented for efficient calculation of the relative eigenvalue error. In this work, the original error estimator is simply redefined in the level of the component matrix by neglecting its component matrices that do not affect the performance of esti...
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| Veröffentlicht in: | Computer methods in applied mechanics and engineering 2016-06, Vol.305, p.759-776 |
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| container_title | Computer methods in applied mechanics and engineering |
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| creator | Kim, Jin-Gyun Boo, Seung-Hwan Lee, Chang-Ock Lee, Phill-Seung |
| description | An improved error estimator for Guyan reduction is presented for efficient calculation of the relative eigenvalue error. In this work, the original error estimator is simply redefined in the level of the component matrix by neglecting its component matrices that do not affect the performance of estimation. Consequently, a new simple formulation of the error estimator is developed. Compared with the original formulation, it leads to better computational efficiency without significant loss of the estimating accuracy. The performance of the present error estimator is demonstrated theoretically and numerically. |
| doi_str_mv | 10.1016/j.cma.2016.03.030 |
| format | Article |
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In this work, the original error estimator is simply redefined in the level of the component matrix by neglecting its component matrices that do not affect the performance of estimation. Consequently, a new simple formulation of the error estimator is developed. Compared with the original formulation, it leads to better computational efficiency without significant loss of the estimating accuracy. 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| source | Elsevier ScienceDirect Journals |
| subjects | Computational efficiency Computer simulation Eigenvalue problem Eigenvalues Error estimation Errors Estimators Finite element method Guyan reduction Mathematical analysis Mathematical models Reduced order modeling Reduction Structural dynamics |
| title | On the computational efficiency of the error estimator for Guyan reduction |
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