35 citations · 163 across the 8 of their papers we have counts for
7 papers · 1 filter
Prediction of numerical homogenization using deep learning for the Richards equation
Sergei Stepanov, Denis Spiridonov, Tina Mai
For the nonlinear Richards equation as an unsaturated flow through heterogeneous media, we build a new coarse-scale approximation algorithm utilizing numerical homogenization. This…
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…
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…
Theory of functional connections applied to quadratic and nonlinear programming under equality constraints
Tina Mai, Daniele Mortari
This paper introduces an efficient approach to solve quadratic and nonlinear programming problems subject to linear equality constraints via the Theory of Functional Connections. T…
Constraint energy minimizing generalized multiscale finite element method for nonlinear poroelasticity and elasticity
Shubin Fu, Eric Chung, Tina Mai
In this paper, we apply the constraint energy minimizing generalized multiscale finite element method (CEM-GMsFEM) to first solving a nonlinear poroelasticity problem. The arising…
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,…
Generalized multiscale finite element method for a strain-limiting nonlinear elasticity model
Shubin Fu, Eric Chung, Tina Mai
In this paper, we consider multiscale methods for nonlinear elasticity. In particular, we investigate the Generalized Multiscale Finite Element Method (GMsFEM) for a strain-limitin…