18 citations · 56 across the 5 of their papers we have counts for
7 papers
A non-intrusive bi-fidelity reduced basis method for time-independent problems
Jun Sur Richard Park, Xueyu Zhu
Scientific and engineering problems often involve parametric partial differential equations (PDEs), such as uncertainty quantification, optimizations, and inverse problems. However…
Constraint Energy Minimizing Generalized Multiscale Finite Element Method for multi-continuum Richards equations
Tina Mai, Siu Wun Cheung, Jun Sur Richard Park
In fluid flow simulation, the multi-continuum model is a useful strategy. When the heterogeneity and contrast of coefficients are high, the system becomes multiscale, and some kind…
Physics-informed neural networks for learning the homogenized coefficients of multiscale elliptic equations
Jun Sur Richard Park, Xueyu Zhu
Multiscale elliptic equations with scale separation are often approximated by the corresponding homogenized equations with slowly varying homogenized coefficients (the G-limit). Th…
Multiscale simulations for multi-continuum Richards equations
Jun Sur Richard Park, Siu Wun Cheung, Tina Mai
In this paper, we study a multiscale method for simulating a dual-continuum unsaturated flow problem within complex heterogeneous fractured porous media. Mathematically, each of th…
Homogenization of a multiscale multi-continuum system
Jun Sur Richard Park, Viet Ha Hoang
We study homogenization of a locally periodic two-scale dual-continuum system where each continuum interacts with the other. Equations for each continuum are written separately wit…
Multiscale simulations for upscaled multi-continuum flows
Jun Sur Richard Park, Siu Wun Cheung, Tina Mai +1
We consider in this paper a challenging problem of simulating fluid flows, in complex multiscale media possessing multi-continuum background. As an effort to handle this obstacle,…
Hierarchical multiscale finite element method for multi-continuum media
Jun Sur Richard Park, Viet Ha Hoang
Simulation in media with multiple continua where each continuum interacts with every other is often challenging due to multiple scales and high contrast. One needs some types of mo…