In this work we present and analyse a new fully mixed finite element method for the
nonlinear problem given by the coupling of the Darcy and heat equations. Besides the …

In Lipschitz domains, we study a Darcy–Forchheimer problem coupled with a singular heat
equation by a nonlinear forcing term depending on the temperature. By singular we mean …

This paper presents an optimization method for the design of marine metal sandwich plates
to enhance the anti-blast performance of ship structures. The proposed method combines a …

We study the existence of solutions for Darcy's problem coupled with the heat equation
under singular forcing; the right-hand side of the heat equation corresponds to a Dirac …

In this article, we consider the time-dependent convection-diffusion-reaction equation
coupled with the Darcy equation. We propose a numerical scheme based on finite element …

In this article, we consider the convection-diffusion-reaction problem coupled the Darcy-
Forchheimer problem by a non-linear external force depending on the concentration. We …

In this work we derive a posteriori error estimates for the convection-diffusion-reaction
equation coupled with the Darcy-Forchheimer problem by a nonlinear external source …

This article focuses on discretizing the convection–diffusion–reaction equation
(concentration or heat), which is time-dependent and coupled with the Darcy equation. The …

We investigate a convective Brinkman--Forchheimer problem coupled with a heat transfer
equation. The investigated model considers thermal diffusion and viscosity depending on …

The flow through saturated porous soil is described by Darcy equation that generally has no
analytical solution. Therefore, we have to use numerical methods to solve it. There exist …