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math.NA2025
Pointwise A Posteriori Error Estimators for Multiple and Clustered Eigenvalue Computations
Zhenglei Li, Qigang Liang, Xuejun Xu
In this work, we propose an a pointwise a posteriori error estimator for conforming finite element approximations of eigenfunctions corresponding to multiple and clustered eigenval…
math.NA2025
Pointwise A Posteriori Error Estimators for Elliptic Eigenvalue Problems
Zhenglei Li, Qigang Liang, Xuejun Xu
In this work, we propose and analyze a pointwise a posteriori error estimator for simple eigenvalues of elliptic eigenvalue problems with adaptive finite element methods (AFEMs). W…
math.NA2025
Local Multilevel Preconditioned Jacobi-Davidson Method for Elliptic Eigenvalue Problems on Adaptive Meshes
Jianing Guo, Qigang Liang, Xuejun Xu
In this work, we propose an efficient adaptive multilevel preconditioned Jacobi-Davidson (PJD) method for eigenvalue problems with singularity. Our multilevel method utilizes a loc…