| 弹性问题线性常数元稳定化方法 |
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| 引用本文： | 刘书琳,胡戎.弹性问题线性常数元稳定化方法[J].四川大学学报(自然科学版),2017,54(3):447-451. |
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| 作者姓名： | 刘书琳 胡戎 |
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| 作者单位： | 四川大学数学学院,川庆地质勘探开发研究院 |
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| 摘 要： | 运用混合有限元法求解弹性问题时，由于LBB条件的限制，使得实际工程运用中常用的线性/常数元无法应用。为了克服这一困难，本文将Bochev-Dohrmann-Gunzburger稳定性方法应用在弹性问题上，通过增加新的投影稳定项和相容稳定项，提出了一种稳定化混合有限元方法。该方法的优点在于：不依赖空间维数和单元形状，也不需要计算高阶导数或边界跳跃量。
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| 关 键 词： | 弹性问题 弱inf-sup条件 稳定化 |
| 收稿时间： | 2016/12/8 0:00:00 |
| 修稿时间： | 2017/1/23 0:00:00 |
A stabilized linear-constant finite element method for elasticity problem |
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| LIU Shu-Lin and HU Rong.A stabilized linear-constant finite element method for elasticity problem[J].Journal of Sichuan University (Natural Science Edition),2017,54(3):447-451. |
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| Authors: | LIU Shu-Lin and HU Rong |
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| Institution: | College of Mathematics, Sichuan University,Geological Exploration & Development Research Institute of Chuanqing Drilling Engineering Company Limited, CNPC |
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| Abstract: | The commonly used linear / constant element cannot be applied in solving elasticity problem because it dissatisfy the LBB condition. In this paper, we derive a stabilization scheme for elasticity problem based on Bochev-Dohrmann-Gunzburger method. We add a consistent term and projection-type stabilization term, which can effectively bypass the inf-sup condition. The advantages of our method are: they do not depend on the space dimension, do not require calculation of higher order derivatives or edge-based data structures. |
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| Keywords: | elasticity problem weak inf-sup condition stabilization |
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