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A new adaptive mixed finite element method based on residual type a posterior error estimates for the Stokes eigenvalue problem
Author(s) -
Han Jiayu,
Zhang Zhimin,
Yang Yidu
Publication year - 2015
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.21891
Subject(s) - mathematics , finite element method , residual , eigenvalues and eigenvectors , discretization , mixed finite element method , rayleigh quotient , extended finite element method , mathematical analysis , algorithm , physics , quantum mechanics , thermodynamics
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.© 2014 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 31: 31–53, 2015