10 citations · 11 across the 4 of their papers we have counts for
4 papers
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…
Online multiscale model reduction for nonlinear stochastic PDEs with multiplicative noise
Lijian Jiang, Mengnan Li, Meng Zhao
In this paper, an online multiscale model reduction method is presented for stochastic partial differential equations (SPDEs) with multiplicative noise, where the diffusion coeffic…
Data-driven reduced-order modeling for nonautonomous dynamical systems in multiscale media
Mengnan Li, Lijian Jiang
In this article, we present data-driven reduced-order modeling for nonautonomous dynamical systems in multiscale media using Koopman operators. Different from the case of autonomou…
A Constraint energy minimizing generalized multiscale finite element method for parabolic equations
Mengnan Li, Eric Chung, Lijian Jiang
In this paper, we present a Constraint Energy Minimizing Generalized Multiscale Finite Element Method (CEM-GMsFEM) for parabolic equations with multiscale coefficients, arising fro…