In this article, a fully discrete modular grad-div stabilized finite element scheme for the Darcy–
Brinkman equations are considered. This fully discrete scheme includes two steps: the first …

This paper proposes a time filter method to solve the double-diffusive natural convection
model. The main idea of this method is to add a simple time filter to the backward Euler …

In this article, a grad-div stabilized projection finite element method is proposed for the
double-diffusive natural convection model. Moreover, for the presented method, the stability …

A decoupled finite element method with different time steps for the nonstationary Darcy--
Brinkman problem is considered in this paper. Moreover, for the presented method, the …

Abstract The stationary Darcy–Brinkman equations in the double-diffusive convection, which
model the heat and mass transfer phenomena, are considered in this paper. Based on a …

In this paper, we consider the stationary double-diffusive natural convection model, which
can model heat and mass transfer phenomena. Based on the fixed point theorem, the …

This paper studies a velocity-vorticity-temperature (VVT) model of the Boussinesq equations
and introduces a numerical method for solving that. The proposed numerical method adds …

This paper proposes a deferred defect‐correction method for the time‐dependent nonlinear
Darcy‐Brinkman model based on the mixed finite element method. The presented method …

This paper considers analytically and numerically the curvature-based stabilization method
for double-diffusive natural convection flows in the presence of magnetic field …

In this paper, the Gauge-Uzawa methods for the Darcy-Brinkman equations driven by
temperature and salt concentration (DBTC) are proposed. The first order backward …