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math.NA2026
Multiphysics embedding localized orthogonal decomposition for thermomechanical coupling problems
Yuzhou Nan, Yajun Wang, Changqing Ye +2
Multiscale thermomechanical problems in highly heterogeneous media are challenging because the elastic, thermal, and coupling coefficients may vary on unresolved spatial scales. We…
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.NA2024
A semi-implicit stochastic multiscale method for radiative heat transfer problem
Shan Zhang, Yajun Wang, Xiaofei Guan
In this paper, we propose and analyze a new semi-implicit stochastic multiscale method for the radiative heat transfer problem with additive noise fluctuation in composite material…