This book is the first volume of a three-part textbook suitable for graduate coursework,
professional engineering and academic research. It is also appropriate for graduate flipped …

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

The main purpose of this monograph is to provide a simple and accessible introduction to
the mixed finite element method as a fundamental tool to numerically solve a wide class of …

This paper introduces a quasi-interpolation operator for scalar-and vector-valued finite
element spaces constructed on affine, shape-regular meshes with some continuity across …

The optimal Orlicz target space is exhibited for embeddings of fractional-order Orlicz–
Sobolev spaces in R n. An improved embedding with an Orlicz–Lorentz target space, which …

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 …

Some recent results on the theory of fractional Orlicz–Sobolev spaces are surveyed. They
concern Sobolev type embeddings for these spaces with an optimal Orlicz target, related …

A necessary and sufficient condition for fractional Orlicz–Sobolev spaces to be continuously
embedded into L∞(R n) is exhibited. Under the same assumption, any function from the …

We consider locally stabilized, conforming finite element schemes on completely
unstructured simplicial space-time meshes for the numerical solution of parabolic initial …

We study the hydrodynamic limit for symmetric exclusion processes with heavy-tailed long
jumps and in contact with infinitely extended reservoirs. We show how the corresponding …