2 citations · 2 across the 5 of their papers we have counts for
5 papers
Topological spectral gap, multiscale Weyl's law, and homogenization in high-contrast PDEs
Eric T. Chung, Lijian Jiang, Yajun Wang
This paper introduces a unified abstract variational and topological framework to characterize the spectral gap and eigenvalue distribution in high-contrast multiscale partial diff…
Decoupling scales via localized subspace iteration and temporal splitting for multiscale parabolic equations
Eric T. Chung, Lijian Jiang, Mengnan Li +1
Simulating diffusion in heterogeneous media presents a significant computational challenge, as resolving microscopic physical scales traditionally demands excessively fine computat…
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…
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…
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…