… We presented a new nonconforming mixed finite volume method that is well defined on
very general grids, relatively cheap, and accurate on smooth grids. Our numerical experiments …

… properties of a Finite Volume Method (FVM) using Voronoi boxes for discretization. The
approach is based on the construction of a new nonconforming Finite Element Method (FEM), …

… We consider finite volume methods for the Stokes system in a polyhedral domain of Rd, d
= … non-conforming tools, namely by regarding the finite volume scheme as a non-conforming …

… 3, we describe the combined finite volume–nonconforming finite element scheme and we
present the main theorem of convergence. In Sect. 4, we derive three preliminary fundamental …

… finite element methods. In this paper, we will extend the idea to nonconforming trial functions
for finite volume methods… and H ( curl ) conforming finite element spaces, respectively. With …

… numerical method … finite volume scheme considered over the finite volume barycentric mesh,
whereas the diffusion term is discretized by piecewise linear nonconforming triangular finite …

… by the non-conforming finite volume element method. We … and take as approximation space
the non-conforming \(P_{1}\) … the non-conforming finite volume element method converges …

… The idea of our finite volume element method is to approximate the velocity field u in the
P1 non-conforming finite element space and the pressure in the space of piecewise constant …

… a finite volume method for parabolic equations using the same class of spatial generic meshes
stated above. We derive a finite volume … is performed using the Crank–Nicolson method. …

… In section 5, we propose a mixed finite volume method using a Raviart– Thomas mixed
finite element and our P1-nonconforming immersed FEM, where the problem reduces to a …