An adaptive discontinuous finite volume element method for the Allen-Cahn equation
In this paper, the discontinuous finite volume element method (DFVEM) is considered to
solve the Allen-Cahn equation which contains strong nonlinearity. The method is based on …
solve the Allen-Cahn equation which contains strong nonlinearity. The method is based on …
A stabilized finite volume element method for a coupled Stokes–Darcy problem
In this paper, we present a stabilized finite volume element method with the conforming finite
element triples P 1–P 0–P 1 and P 1–P 1–P 1 for approximating the velocity, pressure, and …
element triples P 1–P 0–P 1 and P 1–P 1–P 1 for approximating the velocity, pressure, and …
Efficient coupled deep neural networks for the time-dependent coupled Stokes-Darcy problems
J Yue, J Li - Applied Mathematics and Computation, 2023 - Elsevier
In this paper, we propose and investigate an efficient method called CDNNs (Coupled Deep
Neural Networks) for the time-dependent coupled Stokes-Darcy problems. Specifically, we …
Neural Networks) for the time-dependent coupled Stokes-Darcy problems. Specifically, we …
A second-order adaptive time filter algorithm with different subdomain variable time steps for the evolutionary Stokes/Darcy model
Y Qin, Y Wang, L Chen, Y Li, J Li - Computers & Mathematics with …, 2023 - Elsevier
This paper proposes and analyzes a second-order decoupled Backward Euler method plus
time filter for the evolutionary Stokes/Darcy model, which allows different variable time steps …
time filter for the evolutionary Stokes/Darcy model, which allows different variable time steps …
Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model
In this paper, we propose a discontinuous finite volume element method to solve a phase
field model for two immiscible incompressible fluids. In this finite volume element scheme …
field model for two immiscible incompressible fluids. In this finite volume element scheme …
[HTML][HTML] A weak Galerkin finite element method for a coupled Stokes–Darcy problem on general meshes
In this paper, we introduce and analyze a weak Galerkin finite element method for
numerically solving the coupling of fluid flow with porous media flow. Flows are governed by …
numerically solving the coupling of fluid flow with porous media flow. Flows are governed by …
A lowest-order staggered DG method for the coupled Stokes–Darcy problem
In this paper we propose a locally conservative, lowest-order staggered discontinuous
Galerkin method for the coupled Stokes–Darcy problem on general quadrilateral and …
Galerkin method for the coupled Stokes–Darcy problem on general quadrilateral and …
Discontinuous Galerkin method for the coupled dual-porosity-Brinkman model
In this paper we use the weighted discontinuous Galerkin finite element method to solve the
dual-porosity-Brinkman coupling model. The dual-porosity model describes fluid flow in a …
dual-porosity-Brinkman coupling model. The dual-porosity model describes fluid flow in a …
A second-order artificial compression method for the evolutionary Stokes-Darcy system
Y Li, Y Hou, Y Rong - Numerical Algorithms, 2020 - Springer
In this paper, we present a second-order decoupled scheme based on the artificial
compression method for the time-dependent Stokes-Darcy equations. This method not only …
compression method for the time-dependent Stokes-Darcy equations. This method not only …
A Stokes–Darcy–Darcy model and its discontinuous Galerkin method on polytopic grids
In this paper, we propose and numerically solve a model considering confined flow in
fractured porous media coupled with free flow in conduits. Such a situation arises, for …
fractured porous media coupled with free flow in conduits. Such a situation arises, for …