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math.NA2023
On a Sharp Estimate of Overlapping Schwarz Methods in and
Qigang Liang, Xuejun Xu, Shangyou Zhang
The previous proved-bound is for the condition number of the overlapping domain decomposition and …
math.NA2022
A Two-Level Block Preconditioned Jacobi-Davidson Method for Multiple and Clustered Eigenvalues of Elliptic Operators
Qigang Liang, Wei Wang, Xuejun Xu
In this paper, we propose a two-level block preconditioned Jacobi-Davidson (BPJD) method for efficiently solving discrete eigenvalue problems resulting from finite element approxim…
math.NA2021★ 1 cited
A Two-Level Preconditioned Helmholtz-Jacobi-Davidson Method for the Maxwell Eigenvalue Problem
Qigang Liang, Xuejun Xu
In this paper, based on a domain decomposition (DD) method, we shall propose an efficient two-level preconditioned Helmholtz-Jacobi-Davidson (PHJD) method for solving the algebraic…