3 papers
math.NA2025
Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems
Chupeng Ma, Yongwei Zhang
This paper addresses the efficient solution of linear systems arising from curl-conforming finite element discretizations of elliptic problems with heterogeneous…
math.NA2025
Two-level Restricted Additive Schwarz preconditioner based on Multiscale Spectral Generalized FEM for Heterogeneous Helmholtz Problems
Chupeng Ma, Christian Alber, Robert Scheichl +1
We present and analyze a two-level restricted additive Schwarz (RAS) preconditioner for heterogeneous Helmholtz problems, based on a multiscale spectral generalized finite element…
math.NA2024
A unified framework for multiscale spectral generalized FEMs and low-rank approximations to multiscale PDEs
Chupeng Ma
This work presents an abstract framework for the design, implementation, and analysis of the multiscale spectral generalized finite element method (MS-GFEM), a particular numerical…