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math.NA2026
An a Posteriori Error Estimator for IPG Approximation of Multiple and Clustered Eigenvalues of the Biharmonic Operator
Jianing Guo, Qigang Liang
In this paper, based on the interior penalty Galerkin (IPG) discretization, we propose and analyze an a posteriori error estimator for eigenfunctions associated with mul…
math.NA2026
A Two-Level Additive Schwarz Method for Computing Interior Multiple and Clustered Eigenvalues of Symmetric Elliptic Operators
Qigang Liang, Xuejun Xu
In this paper, we propose an efficient two-level additive Schwarz method for solving large-scale eigenvalue problems arising from the finite element discretization of symmetric ell…
math.NA2026
Adaptive Multilevel Methods for the Maxwell Eigenvalue Problem
Qigang Liang, Xuejun Xu, Qingquan Zhang
In this paper, we propose an adaptive multilevel preconditioned Helmholtz-Jacobi-Davidson (PHJD) method for the Maxwell eigenvalue problem with singularities. The key idea in this…