A New Adaptive Mixed Finite Element Method Based on Residual Type A Posterior Error Estimates for the Stokes Eigenvalue Problem

摘要

In this article, we combine mixed finite element method, multiscale discretization, and Rayleigh quotient iteration to propose a new adaptive algorithm based on residual type a posterior error estimates for the Stokes eigenvalue problem. Both reliability and efficiency of the error indicator are proved. The efficiency of the algorithm is also investigated using Chen's Innovation Finite Element Method (iFEM) package. Numerical results are satisfying.(c) 2014 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 31: 31-53, 2015