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math.NA2022
Domain Decomposition Methods for Elliptic Problems with High Contrast Coefficients Revisited
Xuyang Na, Xuejun Xu
In this paper, we revisit the nonoverlapping domain decomposition methods for solving elliptic problems with high contrast coefficients. Some interesting results are discovered. We…
math.NA2022★ 3 cited
Domain Decomposition Learning Methods for Solving Elliptic Problems
Qi Sun, Xuejun Xu, Haotian Yi
With recent advancements in computer hardware and software platforms, there has been a surge of interest in solving partial differential equations with deep learning-based methods,…
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…