On the divergence constraint in mixed finite element methods for incompressible flows
The divergence constraint of the incompressible Navier--Stokes equations is revisited in the
mixed finite element framework. While many stable and convergent mixed elements have …
mixed finite element framework. While many stable and convergent mixed elements have …
[图书][B] Mixed finite element methods and applications
D Boffi, F Brezzi, M Fortin - 2013 - Springer
About 10 years ago, Mixed and Hybrid Finite Element Methods by F. Brezzi and M. Fortin
went out of print and we were asked to allow a second printing. The world had evolved and …
went out of print and we were asked to allow a second printing. The world had evolved and …
On the role of the Helmholtz decomposition in mixed methods for incompressible flows and a new variational crime
A Linke - Computer methods in applied mechanics and …, 2014 - Elsevier
According to the Helmholtz decomposition, the irrotational parts of the momentum balance
equations of the incompressible Navier–Stokes equations are balanced by the pressure …
equations of the incompressible Navier–Stokes equations are balanced by the pressure …
Conforming and divergence-free Stokes elements on general triangular meshes
We present a family of conforming finite elements for the Stokes problem on general
triangular meshes in two dimensions. The lowest order case consists of enriched piecewise …
triangular meshes in two dimensions. The lowest order case consists of enriched piecewise …
A mixed virtual element method for the Brinkman problem
In this paper, we introduce and analyze a mixed virtual element method (mixed-VEM) for the
two-dimensional Brinkman model of porous media flow with non-homogeneous Dirichlet …
two-dimensional Brinkman model of porous media flow with non-homogeneous Dirichlet …
Conforming and divergence-free Stokes elements in three dimensions
Conforming finite element pairs for the three-dimensional Stokes problem on general
simplicial triangulations are constructed. The pressure space simply consists of piecewise …
simplicial triangulations are constructed. The pressure space simply consists of piecewise …
Discrete and conforming smooth de Rham complexes in three dimensions
M Neilan - Mathematics of Computation, 2015 - ams.org
Conforming discrete de Rham complexes consisting of finite element spaces with extra
smoothness are constructed. In particular, we develop $ H^ 2$, $\boldsymbol {H}^ 1 ({\text …
smoothness are constructed. In particular, we develop $ H^ 2$, $\boldsymbol {H}^ 1 ({\text …
Inf-sup stable finite elements on barycentric refinements producing divergence--free approximations in arbitrary dimensions
We construct several stable finite element pairs for the Stokes problem on barycentric
refinements in arbitrary dimensions. A key feature of the spaces is that the divergence maps …
refinements in arbitrary dimensions. A key feature of the spaces is that the divergence maps …
A new weak Galerkin finite element scheme for the Brinkman model
Q Zhai, R Zhang, L Mu - Communications in Computational Physics, 2016 - cambridge.org
The Brinkman model describes flow of fluid in complex porous media with a high-contrast
permeability coefficient such that the flow is dominated by Darcy in some regions and by …
permeability coefficient such that the flow is dominated by Darcy in some regions and by …