自然对流问题的一种自适应有限元方法

An adaptive finite element method for natural convection problem

针对自然对流问题,提出了一种有限元方法的基于恢复型的后验误差估计子,利用恢复技术建立的误差估计子可以对网格进行加密,从而提高计算效率.与传统的有限元方法相比,该方法节省了大量的计算资源.最后,通过数值实验验证了该方法的有效性和可靠性.

In this paper,recovery-based a posteriori error estimator for a finite element pair for the natural convection problem is proposed.The error estimator established by the recovery technique can be used to encrypt the grid and improve the efficiency.Compared with the common finite element method,the new method can save many computational resources.Finally,some numerical experiments are conducted to verify the effectiveness and the reliability of our proposed method.