Abstract

We present three new stabilized finite element (FE) based Petrov–Galerkin methods for the convection–diffusion–reaction (CDR), the Helmholtz and the Stokes problems, respectively. The work embarks upon a priori analysis of some consistency recovery procedures [...]

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

In this paper we present an accurate stabilized FIC-FEM formulation for the 1D advection-diffusion-reaction equation in the exponential and propagation regimes using two stabilization parameters. Both the steady-state and transient solutions are considered. The stabilized formulation [...]