Pengzhan Huang, Qiuyu Zhang: A posteriori error estimates for the Stokes eigenvalue problem based on a recovery type estimator, 295-304

Abstract:

In this paper, we present a posteriori error estimator based on gradient recovery for the Stokes eigenvalue problem with a pressure projection stabilized finite element method. Based on several a priori error estimates, some upper and lower error bounds are analyzed. Theoretical analysis and numerical approximation show that this estimator is useful and efficient.

Key Words: Stokes eigenvalue problem, recovery type error estimator, a posteriori error estimates, pressure projection stabilized method.

2010 Mathematics Subject Classification: Primary 65N30; Secondary 65N25.