In this paper, we consider the numerical approximation for a phase field model of the
coupled two-phase free flow and two-phase porous media flow. This model consists of Cahn …

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 …

This paper presents a weak virtual element method on general meshes for the Stokes–
Darcy problem with the Beavers–Joseph–Saffman interface condition. The velocity is …

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 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 …

This paper develops, analyzes and tests a time-accurate partitioned method for the Stokes–
Darcy equations. The method combines a time filter and Backward Euler scheme, is second …

This article proposes a stabilized mixed finite element method to investigate the stationary
Stokes-dual-permeability fluid flow model which couples the free flow region modeled by the …

In this paper, we consider the coupling of fluid flow with porous media flow. A multi-grid finite
element method for the coupled Stokes–Darcy problem with the Beavers–Joseph interface …

In this paper, a discontinuous finite volume element method was presented to solve the
nonstationary Stokes–Darcy problem for the coupling fluid flow in conduits with porous …