An adaptive algorithm based on the shifted inverse iteration for the Steklov eigenvalue problem

作者：Bi, Hai; Li, Hao; Yang, Yidu^*

来源：Applied Numerical Mathematics, 2016, 105: 64-81.

DOI：10.1016/j.apnum.2016.02.003

• Steklov eigenvalue problem
• Finite element
• Multi-scale discretization
• Adaptive algorithm
• A posteriori error estimate

This paper proposes and analyzes an a posteriori error estimator for the finite element multi-scale discretization approximation of the Steklov eigenvalue problem. Based on the a posteriori error estimates, an adaptive algorithm of shifted inverse iteration type is designed. Finally, numerical experiments comparing the performances of three kinds of different adaptive algorithms are provided, which illustrate the efficiency of the adaptive algorithm proposed here.

• 出版日期2016-7
• 单位贵州师范大学