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 …

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 …

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 …

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 …

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 …

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 …

In this paper we propose a locally conservative, lowest-order staggered discontinuous
Galerkin method for the coupled Stokes–Darcy problem on general quadrilateral and …

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 …

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 …

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 …