3 citations · 5 across the 6 of their papers we have counts for
8 papers · 1 filter
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…
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…
Fast-convergent two-level restricted additive Schwarz methods based on optimal local approximation spaces
Arne Strehlow, Chupeng Ma, Robert Scheichl
This paper proposes a two-level restricted additive Schwarz (RAS) method for multiscale PDEs, built on top of a multiscale spectral generalized finite element method (MS-GFEM). The…
A Mixed Multiscale Spectral Generalized Finite Element Method
Christian Alber, Chupeng Ma, Robert Scheichl
We present a multiscale mixed finite element method for solving second order elliptic equations with general -coefficients arising from flow in highly heterogeneous por…
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…
Error estimates for fully discrete generalized FEMs with locally optimal spectral approximations
Chupeng Ma, Robert Scheichl
This paper is concerned with error estimates of the fully discrete generalized finite element method (GFEM) with optimal local approximation spaces for solving elliptic problems wi…