The Arnold–Winther element successfully discretizes the Hellinger–Reissner variational
formulation of linear elasticity; its development was one of the key early breakthroughs of the …

This chapter discusses 2× 2 symmetric variational formulations and associated finite
element methods for the EMI equations. We demonstrate that the presented methods …

We propose two different discrete formulations for the weak imposition of the Neumann
boundary conditions of the Darcy flow. The Raviart–Thomas mixed finite element on both …

Characterizing physical properties of faults, such as their transmissibility, is crucial for
performing predictive numerical simulation of subsurface flows, such as those encountered …

In this work we develop an a posteriori error estimator for mixed finite element methods of
Darcy flow problems with Robin-type jump interface conditions. We construct an energy …

In this work, a thermal Finite Element model is developed to simulate the performance of a
blade-like tool for robotic work cells performing automated garment production using a novel …

Modern manufacturing engineering is based on a``design-through-analysis''workflow.
According to this paradigm, a prototype is first designed with Computer-aided-design (CAD) …

The elasticity differential complex associated with a 2-or 3-dimensional domain is a
sequence of function spaces connected by differential operators, which together encode …

Error estimations for multiscale hybrid-mixed finite element methods for Darcy’s problems on
polyhedral meshes Page 1 Error estimations for multiscale hybrid-mixed finite element methods …

In this work a simulation of a petroleum reservoir using FreeFEM++ v 3.21-1 is performed
with a two phase (water and oil) incompressible and immiscible flow. The rock is assumed to …