Browsing by Subject "Finite Element Method"

Now showing items 1-5 of 5

    • Article  

      An analysis of laminar fluid flow in porous tube and shell systems 

      Pangrle, B. J.; Alexandrou, Andreas N.; Dixon, A. G.; Dibiasio, D. (1991)
      The finite element method was used to study steady, incompressible, laminar flow in porous tube systems. The Navier-Stokes equations were used to describe the flow phenomena in the tube and shell space while the continuum ...
    • Article  

      The compressible Newtonian extrudate swell problem 

      Georgiou, Georgios C. (1995)
      We solve the compressible Newtonian extrudate swell problem in order to investigate the effect of compressiblity on the shape of the extrudate. We employ a first‐order equation of state relating the density to the pressure ...
    • Article  

      Finite element analysis of an exponentially graded mesh for singularly perturbed problems 

      Constantinou, P.; Xenophontos, Christos A. (2015)
      We present the mathematical analysis for the convergence of an h version Finite Element Method (FEM) with piecewise polynomials of degree p ≥ 1, defined on an exponentially graded mesh. The analysis is presented for a ...
    • Article  

      A Parameter Robust Finite Element Method for Fourth Order Singularly Perturbed Problems 

      Xenophontos, Christos A. (2017)
      We consider fourth order singularly perturbed problems in one-dimension and the approximation of their solution by the h version of the finite element method. In particular, we use piecewise Hermite polynomials of degree ...
    • Article  

      Stable finite element solutions of fully viscous compressible flows 

      Barsoum, M. E.; Alexandrou, Andreas N. (1995)
      This paper presents a stable approach to solve convection-dominated flows in the presence of compressibility effects. This approach employs the Petrov-Galerkin weighing to the FEM equations to achieve stability at the high ...