3 papers
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.NA2024
Computing Both Upper and Lower Eigenvalue Bounds by HDG Methods
Qigang Liang, Xuejun Xu, Liuyao Yuan
In this paper, we observe an interesting phenomenon for a hybridizable discontinuous Galerkin (HDG) method for eigenvalue problems. Specifically, using the same finite element meth…