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20142026
most citedA Method for Computing Inverse Parametric PDE Problems with Random-Weight Neural Networks

28 citations · 154 across the 37 of their papers we have counts for

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Showing 2020Show all

5 papers · 1 filter

math.NA2020★ 2 cited

Constraint energy minimization generalized multiscale finite element method in mixed formulation for parabolic equations

Yiran Wang, Eric Chung, Lina Zhao

In this paper, we develop the constraint energy minimization generalized multiscale finite element method (CEM-GMsFEM) in mixed formulation applied to parabolic equations with hete…

math.NA2020★ 11 cited

A comparison of mixed multiscale finite element methods for multiphase transport in highly heterogeneous media

Yiran Wang, Eric Chung, Shubin Fu

In this paper, we systemically review and compare two mixed multiscale finite element methods (MMsFEM) for multiphase transport in highly heterogeneous media. In particular, we wil…

math.NA2020

Adaptive multiscale model reduction for nonlinear parabolic equations using GMsFEM

Yiran Wang, Eric Chung, Shubin Fu

In this paper, we propose a coupled Discrete Empirical Interpolation Method (DEIM) and Generalized Multiscale Finite element method (GMsFEM) to solve nonlinear parabolic equations…

math.NA2020

Online conservative generalized multiscale finite element method for flow models

Yiran Wang, Eric Chung, Shubin Fu +1

In this paper, we consider an online enrichment procedure using the Generalized Multiscale Finite Element Method (GMsFEM) in the context of a two-phase flow model in heterogeneous…

math.AP2020★ 21 cited

Inverse Scattering for Critical Semilinear Wave Equations

Antônio Sá Barreto, Gunther Uhlmann, Yiran Wang

We show that the scattering operator for defocusing energy critical semilinear wave equations \square u+f(u)=0, with f C-infinity and f ~ u^5, in three space dimensions, determines…