3 citations · 3 across the 4 of their papers we have counts for
4 papers · 1 filter
Finite Expression Method with TranNet-based Function Learning for High-Dimensional Partial Differential Equations
Phuoc-Toan Huynh, Feng Bao, Haizhao Yang +1
In this paper, we study a machine-learning-based solver for high-dimensional partial differential equations (PDEs). Computing accurate solutions efficiently for such problems remai…
Joint State-Parameter Estimation for the Reduced Fracture Model via the United Filter
Toan Huynh, Thi-Thao-Phuong Hoang, Guannan Zhang +1
In this paper, we introduce an effective United Filter method for jointly estimating the solution state and physical parameters in flow and transport problems within fractured poro…
Parameter Estimation for the Reduced Fracture Model via a Direct Filter Method
Phuoc Toan Huynh, Feng Bao, Thi-Thao-Phuong Hoang
In this work, we present a numerical method that provides accurate real-time detection for the widths of the fractures in a fractured porous medium based on observational data on p…
Fast and accurate domain decomposition methods for reduced fracture models with nonconforming time grids
Phuoc-Toan Huynh, Yanzhao Cao, Thi-Thao-Phuong Hoang
This paper is concerned with the numerical solution of compressible fluid flow in a fractured porous medium. The fracture represents a fast pathway (i.e., with high permeability) a…