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

Incompressible flow problems appear in many models of physical processes and
applications. Their numerical simulation requires in particular a spatial discretization. Finite …

For more details about the topologies of the spaces P (Ω) and P/(Ω), see Yosida [1966], Vo-
Khac [1972a, 1972b], Hörmander [1983, Chapters 1–7], Duistermaat & Kolk [2010], and of …

Originally introduced in [146, 158], Hybrid High-Order (HHO) methods provide a framework
for the discretisation of models based on Partial Differential Equations (PDEs) with features …

Our work on rate-independent systems was stimulated by our search for evolutionary
material models for shape-memory alloys that are flexible enough to encompass nonlinear …

This book starts by introducing the fundamental concepts of mathematical continuum
mechanics for fluids and solids and their coupling. Special attention is given to the derivation …

We devise an arbitrary-order locking-free method for linear elasticity. The method relies on a
pure-displacement (primal) formulation and leads to a symmetric, positive definite system …

Advances in Mathematical Fluid Mechanics is a forum for the publication of high quality
monographs, or collections of works, on the mathematical theory of fluid mechanics, with …

Bibliography Page 1 Bibliography [1] Y. Achdou, C. Bernardi, and F. Coquel, A priori and a
posteriori analysis of finite volume dis- cretizations of Darcy’s equations, Numer. Math. 96 (2003) …

This book is about turbulence in incompressible fluids. We have asked people in the street
what the word “turbulence” means for them. One woman replied:“Turbulence makes me …