7 papers · 1 filter
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…