2 papers
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
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…