Abstract

In this paper we have developed the numerical solution of two problems of diffusion-convection (DC), using the finite element method of Streamline Upwind Petrov-Galerkin (SUPG). The parameters that define the behavior of the equations are modeled as stochastic fields, specifically, [...]

Abstract

We present the design of a high-resolution Petrov–Galerkin (HRPG) method using linear finite elements
for the problem defined by the residual

R (phi):= partial phi /partial t + u partial [...]

Abstract

A multidimensional extension of the HRPG method using the lowest order block finite elements [...]

Abstract

A Petrov–Galerkin formulation based on two different perturbations to the weighting functions is presented. These perturbations stabilize the oscillations that are normally exhibited [...]

Abstract

One of the most popular mixed finite elements is the enhanced assumed strain (EAS) approach. However, despite numerous advantages there are still some open issues. Three of the most important, namely robustness in nonlinear simulations, hourglassing instabilities and sensitivity to [...]