Introduction 23 1. Abstract minimization problems, variational inequalities and the Lax-
Milgram lemma 24 2. The Sobolev spaces H (Q2) and Green's formulae 30 3. Examples of …

In both engineering and physics literature we find many problems solved by intuitive, ad hoc
methods, regardless of the fact that the possibility exists of formulating and solving these …

Many mechanics and physics problems have variational formulations making them
appropriate for numerical treatment by finite element techniques and efficient iterative …

This book describes the theoretical and computational aspects of the mimetic finite
difference method for a wide class of multidimensional elliptic problems, which includes …

The idea for this book was developed in the seminar on problems of con tinuum mechanics,
which has been active for more than twelve years at the Faculty of Mathematics and Physics …

The book acquaints the reader with the basic concepts and relations of elasticity and
plasticity, and also with the contemporary state of the theory, covering such aspects as the …

This monograph is centered on mathematical modeling, innovative numerical algorithms
and adaptive concepts to deal with fracture phenomena in multiphysics. State-of-the-art …

We consider variationally consistent discretization schemes for mechanical contact
problems. Most of the results can also be applied to other variational inequalities, such as …

This paper presents a numerical method for interactive (real-time) simulations, which
considerably improves the accuracy of the response of heterogeneous soft-tissue models …

This work constitutes an up-to-date and unified account of the contributions of the authors
and their collaborators to the field of asymptotic modelling of elastic rods and their …