The terms" mixed finite element method"," hybrid finite element method", and even" mixed-
hybrid finite element method" come essentially from the vocabulary of structural mechanics …

Bei der numerischen Behandlung partieller Differentialgleichungen treten oft überraschende
Phänomene auf. Neben der zügigen Behandlung der klassischen Theorie, die bis an die …

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

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 …

We introduce a unifying framework for hybridization of finite element methods for second
order elliptic problems. The methods fitting in the framework are a general class of mixed …

A numerical procedure for the determination of equivalent grid block permeability tensors for
heterogeneous porous media is presented. The method entails solution of the fine scale …

Numerical simulators for oil reservoirs have been developed over the last twenty years and
are now widely used by oil companies. The research, however, has taken place largely …

We introduce the nonconforming Virtual Element Method (VEM) for the approximation of
second order elliptic problems. We present the construction of the new element in two and …

Mixed finite elements are a numerical method becoming more and more popular in
geosciences. This method is well suited for solving elliptic and parabolic partial differential …

We consider nonlinear algebraic systems resulting from numerical discretizations of
nonlinear partial differential equations of diffusion type. To solve these systems, some …