Basic compactness properties of nonconforming and hybrid finite element spaces
Basic principles of mixed Virtual Element Methods
The aim of this paper is to give a simple, introductory presentation of the extension of the Virtual Element Method to the discretization of H(div)-conforming vector fields (or, more generally, of (n − 1) − Cochains). As we shall see, the methods presented here can be seen as extensions of the so-called BDM family to deal with more general element geometries (such as polygons with an almost arbitrary geometry). For the sake of simplicity, we limit ourselves to the 2-dimensional case, with the aim...
Behavior of the error of the approximate solutions of boundary value problems for linear elliptic operators by Galerkin's and finite difference methods
Besov Regularity for Second Order Elliptic Boundary Value Problems with Variable Coefficients.
Boundary Lagrange multipliers in finite element methods: error analysis in natural forms.
Boundary Subspaces for the Finite Element Method With Lagrange Multipliers.