This paper presents the basic concepts and the module structure of the Distributed and
Unified Numerics Environment and reflects on recent developments and general changes …

We give a review of Nitsche's method applied to interface problems, involving real or
artificial interfaces. Applications to unfitted meshes, Chimera meshes, cut meshes, fictitious …

This book introduces the basic ideas to build discontinuous Galerkin methods and, at the
same time, incorporates several recent mathematical developments. The presentation is to a …

We present a Nitche's method to couple non-conforming two and three-dimensional non
uniform rational b-splines (NURBS) patches in the context of isogeometric analysis. We …

We consider an incompressible flow problem in a N-dimensional fractured porous domain
(Darcy's problem). The fracture is represented by a (N− 1)-dimensional interface …

A family of discontinuous Galerkin finite element methods is formulated and analyzed for
Stokes and Navier-Stokes problems. An inf-sup condition is established as well as optimal …

We introduce a method for treating general boundary conditions in the finite element method
generalizing an approach, due to Nitsche (1971), for approximating Dirichlet boundary …

Computational contact mechanics is a broad topic which brings together algorithmic,
geometrical, optimization and numerical aspects for a robust, fast and accurate treatment of …

In this work, we propose a stabilized explicit coupling scheme for fluid–structure interaction
problems involving a viscous incompressible fluid. The coupled discrete formulation is …

We use the lowest possible approximation order, piecewise linear, continuous velocities and
piecewise constant pressures to compute solutions to Stokes equation and Darcy's …