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| Geometric dichotomy method for inverse isoparametric mapping in linear finite element and its correction measure |
| Received:October 21, 2008 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20105005 |
| KeyWord:isoparametric linear finite element local coordinate geometric dichotomy nonlinear equations |
| Author | Institution |
| 包劲青 |
清华大学水沙科学与水利水电国家重点实验室 北京 |
| 杨强 |
清华大学水沙科学与水利水电国家重点实验室 北京 |
| 官福海 |
清华大学水沙科学与水利水电国家重点实验室 北京 |
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| Abstract: |
| Geometric dichotomy method is innovated and used for inverse isoparametric mapping in linear finite element, of which a property is proved and served as the foundation. The geometric dichotomy method is easy and applicable, avoiding solving nonlinear equations with high dimensions and high orders. A correction measure is proposed to erase the effect of singular element on the result by the geometric dichotomy. The geometric dichotomy method and its correction measure overcome the disadvantages of the other existing methods. It is shown by two examples the correctness of the geometric dichotomy method and its correction measure for inverse isoparametric mapping in linear finite element. |