1 citations · 1 across the 12 of their papers we have counts for
14 papers
Structure-preserving generalized transferable neural networks for the Cahn-Hilliard equation
Cao-Kha Doan, Thi-Thao-Phuong Hoang, Lili Ju +1
This paper is concerned with a structure-preserving neural network-based framework for the Cahn-Hilliard equation in mixed form. We employ generalized transferable neural networks…
Convergence analysis of the dynamically regularized Lagrange multiplier method for the incompressible Navier-Stokes equations
Cao-Kha Doan, Thi-Thao-Phuong Hoang, Lili Ju +1
This paper is concerned with temporal convergence analysis of the recently introduced Dynamically Regularized Lagrange Multiplier (DRLM) method for the incompressible Navier-Stokes…
Low regularity integrators for semilinear parabolic equations with maximum bound principles
Cao-Kha Doan, Thi-Thao-Phuong Hoang, Lili Ju +1
This paper is concerned with conditionally structure-preserving, low regularity time integration methods for a class of semilinear parabolic equations of Allen-Cahn type. Important…
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…
Optimized Ventcel-Schwarz waveform relaxation and mixed hybrid finite element method for transport problems
Thi-Thao-Phuong Hoang
This paper is concerned with the optimized Schwarz waveform relaxation method and Ventcel transmission conditions for the linear advection-diffusion equation. A mixed formulation i…
Fully implicit local time-stepping methods for advection-diffusion problems in mixed formulations
Thi-Thao-Phuong Hoang
This paper is concerned with numerical solution of transport problems in heterogeneous porous media. A semi-discrete continuous-in-time formulation of the linear advection-diffusio…
A global-in-time domain decomposition method for the coupled nonlinear Stokes and Darcy flows
Thi-Thao-Phuong Hoang, Hyesuk Lee
We study a decoupling iterative algorithm based on domain decomposition for the time-dependent nonlinear Stokes-Darcy model, in which different time steps can be used in the flow r…
High Order Explicit Local Time-Stepping Methods For Hyperbolic Conservation Laws
Thi-Thao-Phuong Hoang, Lili Ju, Wei Leng +1
In this paper we present and analyze a general framework for constructing high order explicit local time stepping (LTS) methods for hyperbolic conservation laws. In particular, we…
Overlapping Localized Exponential Time Differencing Methods for Diffusion Problems
Thi-Thao-Phuong Hoang, Lili Ju, Zhu Wang
The paper is concerned with overlapping domain decomposition and exponential time differencing for the diffusion equation discretized in space by cell-centered finite differences.…
Analysis Of A Domain Decomposition-Based Cell-Centered Method for Heterogeneous Anisotropic Diffusion Problems
Thanh Hai Ong, Duc Cam Hai Vo, Thi-Thao-Phuong Hoang
The paper is concerned with the derivation and analysis of nonoverlapping domain decomposition for heterogeneous, anisotropic diffusion problems discretized by the finite element c…
Space-time domain decomposition for advection-diffusion problems in mixed formulations
Thi-Thao-Phuong Hoang, Caroline Japhet, Michel Kern +1
This paper is concerned with the numerical solution of porous-media flow and transport problems , i. e. heterogeneous, advection-diffusion problems. Its aim is to investigate numer…
A staggered finite element cell-centered scheme for nearly incompressible elasticity on general meshes
T. T. P. Hoang, Ong Thanh Hai, H. Nguyen-Xuan
We apply the finite element cell-centered (FECC) scheme [2] to the solution of the nearly incompressible elasticity problem. By applying a technique of dual mesh, such a low-order…
The Penalty Cell-Centered Finite Element Scheme For Stokes Problem On General Meshes
Ong Thanh Hai, T. T. P. Hoang, H. Nguyen Xuan
The paper is devoted to the penalty cell-centered finite element scheme (pFECC)on general meshes for the stationary Stokes problems with an incompressible variable viscosity and Di…
Space-Time Domain Decomposition Methods for Diffusion Problems in Mixed Formulations
Thi Thao Phuong Hoang, Jérôme Jaffré, Caroline Japhet +2
This paper is concerned with global-in-time, nonoverlapping domain decomposition methods for the mixed formulation of the diffusion problem. Two approaches are considered: one uses…