The goal of the book is to develop a mathematical theory of open fluid systems in the
framework of continuum thermodynamics. By open we mean actively interacting with the …

Mixed boundary conditions are introduced to finite element exterior calculus. We construct
smoothed projections from Sobolev de Rham complexes onto finite element de Rham …

We address fundamental aspects in the approximation theory of vector-valued finite element
methods, using finite element exterior calculus as a unifying framework. We generalize the …

We study the discrete-to-continuum variational limit of the J_1-J_3 spin model on the square
lattice in the vicinity of the ferromagnet/helimagnet transition point as the lattice spacing …

We study a nearest neighbors ferromagnetic classical spin system on the square lattice in
which the spin field is constrained to take values in a discretization of the unit circle …

In this paper, we study a hyperelastic composite material with a periodic microstructure and
a prestrain close to a stress-free joint. We consider two limits associated with linearization …

A coercive mixed variational formulation on H 0 (curl; Ω)× H (div; Ω) is proposed for the
generalized Maxwell problem which typically arises from computational electromagnetism …

Coarse graining and large-N behavior of the d-dimensional N-clock model Page 1 Interfaces Free
Bound. 23 (2021), 323–351 © 2021 European Mathematical Society Published by EMS Press This …

This textbook is devoted to second order linear partial differential equations. The focus is on
variational formulations in Hilbert spaces. It contains elliptic equations, including some basic …

The least-squares finite element methods (LSFEMs) base on the minimisation of the least-
squares functional consisting of the squared norms of the residuals of first-order systems of …