4 papers
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…