The mathematization of all sciences, the fading of traditional scientific boundaries, the
impact of computer technology, the growing importance of computer modelling and the …

We present and analyze a mixed finite element numerical scheme for the Cahn–Hilliard–
Hele–Shaw equation, a modified Cahn–Hilliard equation coupled with the Darcy flow law …

This article focusses on the analysis of a conforming finite element method for the time-
dependent incompressible Navier–Stokes equations. For divergence-free approximations …

In this work we present and analyse a new fully mixed finite element method for the
nonlinear problem given by the coupling of the Darcy and heat equations. Besides the …

Let be a convex polytope (). The Ritz projection is the best approximation, in the-norm, to a
given function in a finite element space. When such finite element spaces are constructed on …

We introduce and analyze two new semi-discrete numerical methods for the multi-
dimensional Vlasov–Poisson system. The schemes are constructed by combining a …

Residual-type a posteriori error estimates in the maximum norm are given for singularly
perturbed semilinear reaction-diffusion equations posed in polyhedral domains. Standard …

This paper focuses on new error analysis of a class of mixed FEMs for stationary
incompressible magnetohydrodynamics with the standard inf-sup stable velocity-pressure …

We define piecewise linear and continuous finite element methods for a class of interface
problems in two dimensions. Correction terms are added to the right-hand side of the natural …

We consider the approximation of Poisson type problems where the source is given by a
singular measure and the domain is a convex polygonal or polyhedral domain. First, we …