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We consider an incompressible flow problem in a -dimensional fractured porous domain (Darcy’s problem). The fracture is represented by a ( − 1)-dimensional interface, exchanging fluid with the surrounding media. In this paper we consider the lowest-order (ℝ T, ℙ) Raviart-Thomas mixed finite element method for the approximation of the coupled Darcy’s flows in the porous media and within the fracture, with independent meshes for the respective domains. This is achieved thanks to an enrichment with...
The fully coupled description of blood flow and mass transport in
blood vessels requires extremely robust numerical methods. In order
to handle the heterogeneous coupling between blood flow and plasma filtration,
addressed by means of Navier-Stokes and Darcy's equations,
we need to develop a numerical scheme capable to deal with
extremely variable parameters, such as the blood viscosity and
Darcy's permeability of the arterial walls. In this paper, we describe a finite element method for...
The fully coupled description of blood flow and mass transport in
blood vessels requires extremely robust numerical methods. In order
to handle the heterogeneous coupling between blood flow and plasma filtration,
addressed by means of Navier-Stokes and Darcy's equations,
we need to develop a numerical scheme capable to deal with
extremely variable parameters, such as the blood viscosity and
Darcy's permeability of the arterial walls. In this paper, we describe a finite element method for...
We consider an incompressible flow problem in a -dimensional fractured
porous domain (Darcy’s problem). The fracture is represented by a
( − 1)-dimensional interface, exchanging fluid with the surrounding
media. In this paper we consider the lowest-order (ℝ T, ℙ) Raviart-Thomas mixed finite element
method for the approximation of the coupled Darcy’s flows in the porous media and within
the fracture, with independent meshes for the respective domains....
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