Asymptotically Exact a Posteriori Error Estimates for Nonsymmetric Eigenvalue Problems

英文关键词:Polynomial Preserving Recovery  nonsymmetric eigenvalue problem  a posteriori error estimates.

中文摘要:

      

英文摘要:

      This paper is devoted to the Polynomial Preserving Recovery (PPR) based a posteriori error analysis for the second elliptic nonsymmetric eigenvalue problem. An asymptotically exact a posteriori error estimator is proposed for solving the convection-dominated nonsymmetric eigenvalue problem with non-smooth eigenfunctions or multiple eigenvalues. Numerical examples confirm our theoretical analysis.