The main scope of this work is to carry out a mathematical framework and its corresponding finite element (FE) discretization for the partially saturated soil consolidation modelling in presence of an immiscible pollutant. A multiphase system with the interstitial voids in the grain matrix...

Macroscopic electric fields may be used to influence or even control the shape evolution of single layer islands on a crystalline surface. We validate a phase-field approach to simulate such shape evolutions by comparison with simulations based on a sharp interface approach. The phase-field...

We consider a system of Maxwell’s and Landau-Lifshitz-Gilbert equations describing magnetization dynamics in micromagnetism. The problem is discretized by a convergent, unconditionally stable finite element method. A multigrid preconditioned Uzawa type method for the solution of the algebraic...

A method for constructing Whitney forms is proposed, which applies to tetrahedra, hexahedra, triangular prisms, and pyramids in a similar way, and proceeds from a unique generating principle, thus unifying their presentation. The principle automatically enforces conformity (i.e.,...

A parallel implementation of the Balancing Domain Decomposition based on Constraints (BDDC) method using the frontal solver is employed to solve systems of linear equations from finite element analysis, and incorporated into a standard finite element system for engineering analysis by linear...

Two classes of nodal methods, weakly and strongly discontinuous, are introduced and applied to the numerical solution of the neutron transport equation in two-dimensional Cartesian geometry and discrete ordinates. These methods are then applied for the approximation of the solution of a...

This paper presents a finite element approach with moving non-matching overlapping grids to solve coupled magneto-mechanical problems. As an example of application, we consider the team workshop problem 28 for an electrodynamic levitation device. The connection between the background mesh...

We develop a numerical model for large eddy simulation of turbulent heat transport in the Strait of Gibraltar. The flow equations are the incompressible Navier–Stokes equations including Coriolis forces and density variation through the Boussinesq approximation. The turbulence effects are...