Abstract

The aim of the present work is to present an overview of some numerical procedures for the simulation of free surface flows within a porous structure. A particular algorithm developed by [...]

Abstract

The three-field (stress–velocity–pressure) mixed formulation of the incompressible Navier–Stokes problem can lead to two different types of numerical instabilities. The [...]

Abstract

In this note we consider the a posteriori error analysis of mixed finite element approximations to the Laplace eigenvalue problem based on local postprocessing. The estimator makes use of an improved L2approximation for the Raviart-Thomas (RT) and Brezzi-Douglas-Marini (BDM) finite [...]

Abstract

In this paper we discuss some aspects related to the practical implementation of a method that has been introduced recently for the approximation of the eigenvalues of the linear elasticity problem. The scheme, based on a least-squares finite element formulation, gives rise to a non-symmetric [...]

Abstract

The nonlinear finite element method is a computational method in the variational simulation of material models for materials with and without microstructures [1]. Taking into account microstructures of engineering materials in their computational models is often worthwhile to improve [...]