In this work we solve a Stokes-Darcy coupled problem in a plane curved domain using
curved elements. We approximate the velocity-pressure pair by applying the MINI-element …

We consider a coupled model of free-flow and porous medium flow, governed by stationary
Stokes and Darcy flow, respectively. The coupling between the two systems is enforced by …

В статье рассмотрена разработка математической модели процесса фильтрации
газов в пористых средах, постановка краевой задачи фильтрации газа, выражающей …

Abstract For the Stokes–Darcy coupled problem, which models a fluid that flows from a free
medium into a porous medium, we introduce and analyze an adaptive stabilized finite …

In this paper, we develop an a posteriori error analysis for the stationary Stokes‐Darcy
coupled problem approximated by conforming the finite element method on isotropic …

Статья посвящена математическому моделированию процесса фильтрации жидкости в
пористой геологической среде под действием давления. Разрабатывается …

In this paper we develop an a priori error analysis of a new unified mixed finite element
method for the coupling of fluid flow with porous media flow in $\mathbb {R}^ N $, $ N\in\{2 …

The paper addresses mathematical modelling modelling for the process of fluid filtration in
porous geological media under pressure. A computational scheme based on a mixed non …

We propose and analyze an augmented mixed formulation for the time-dependent Brinkman–
Forchheimer equations written in terms of vorticity, velocity and pressure. The weak …