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Numerical approximation of the elliptic eigenvalue problem by stabilized nonconforming finite element method
Zhifeng Weng,Shuying Zhai,Yuping Zeng,Xiaoqiang Yue
Keywords:elliptic eigenvalue problem, stabilized nonconforming method, error estimate, lower and upper bounds
Abstract:
      In this paper, a stabilized nonconforming mixed finite element method is used to solve the elliptic eigenvalue problem. Firstly, the lower-equal order element is used to discretize the space combined with the stabilization term based on the velocity projection method, and the error analysis is given. Moreover, the upper and lower bounds of eigenvalues are obtained. Finally, numerical experiments are carried out to verify the effectiveness of the proposed method.