Asymptotically Exact a Posteriori Error Estimates for Nonsymmetric Eigenvalue Problems |
Received:March 31, 2024 Revised:September 05, 2024 |
Key Words:
Polynomial Preserving Recovery nonsymmetric eigenvalue problem a posteriori error estimates.
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Fund Project:National Natural Science Foundation of China(Grant Nos. 12361084 and 12001130) |
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Abstract: |
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. |
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