Incompressible flow problems appear in many models of physical processes and
applications. Their numerical simulation requires in particular a spatial discretization. Finite …

According to the Helmholtz decomposition, the irrotational parts of the momentum balance
equations of the incompressible Navier–Stokes equations are balanced by the pressure …

We present a finite volume method based on the integration of the Laplace equation on both
the cells of a primal almost arbitrary two-dimensional mesh and those of a dual mesh …

A simple and efficient interface-fitted mesh generation algorithm which can produce a semi-
structured interface-fitted mesh in two and three dimensions quickly is developed in this …

The contents of this paper is twofold. First, important recent results concerning finite element
methods for convection-dominated problems and incompressible flow problems are …

The paper deals with a non-conforming finite element method on a class of anisotropic
meshes. The Crouzeix-Raviart element is used on triangles and tetrahedra. For rectangles …

Consider the singularly perturbed linear reaction-diffusion problem -ε^2Δu+bu=f in Ω⊂R^d,
u=0 on ∂Ω, where d≥1, the domain Ω is bounded with (when d≥2) Lipschitz-continuous …

A virtual element method (VEM) with the first-order optimal convergence order is developed
for solving two-dimensional Maxwell interface problems on a special class of polygonal …

We analyze the approximation obtained for the eigenvalues of the Laplace operator by the
nonconforming piecewise linear finite element of Crouzeix-Raviart. For singular …

Finite element methods for electromagnetic problems modeled by Maxwell-type equations
are highly sensitive to the conformity of approximation spaces, and non-conforming methods …