4 papers
A cut finite element method for the Biot system of poroelasticity
Nanna Berre, Kent-Andre Mardal, André Massing +1
We propose a novel cut finite element method for the numerical solution of the Biot system of poroelasticity. The Biot system couples elastic deformation of a porous solid with vis…
Numerical solution of the unsteady Brinkman equations in the framework of (div)-conforming finite element methods
Costanza Aricò, Rainer Helmig, Ivan Yotov
We present projection-based mixed finite element methods for the solution of the unsteady Brinkman equations for incompressible single-phase flow with fixed in space porous solid i…
A Lagrange multiplier formulation for the fully dynamic Navier-Stokes-Biot system
Xing Wang, Ivan Yotov
We study a mathematical model of fluid -- poroelastic structure interaction and its numerical solution. The free fluid region is governed by the unsteady incompressible Navier-Stok…
A Banach space formulation for the fully dynamic Navier-Stokes-Biot coupled problem
Sergio Caucao, Aashi Dalal, Ivan Yotov
We introduce and analyse a fully-mixed formulation for the coupled problem arising in the interaction between a free fluid and a poroelastic medium.The flows in the free fluid and…