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math.NA2024
Localized subspace iteration methods for elliptic multiscale problems
Xiaofei Guan, Lijian Jiang, Yajun Wang +1
This paper proposes localized subspace iteration (LSI) methods to construct generalized finite element basis functions for elliptic problems with multiscale coefficients. The key c…
math.NA2023
MHDnet: Physics-preserving learning for solving magnetohydrodynamics problems
Xiaofei Guan, Boya Hu, Shipeng Mao +2
Designing efficient and high-accuracy numerical methods for complex dynamic incompressible magnetohydrodynamics (MHD) equations remains a challenging problem in various analysis an…