Browsing Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics by Subject "Iterative methods"

Now showing items 1-8 of 8

    • Article  

      Annular liquid jets at high Reynolds numbers 

      Georgiou, Georgios C. (2003)
      The flow of annular liquid jets at high Reynolds numbers is analysed by means of the finite element method and the full-Newton iteration scheme. Results have been obtained for various values of the inner to the outer ...
    • Article  

      High performance solution of partial differential equations discretized using a chebyshev spectral collocation method 

      Cyphers, C.; Paprzycki, M.; Karageorghis, Andreas (1996)
      When a Chebyshev spectral collocation method is applied to a flow problem in a rectangularly decomposable domain it leads to the solution of a structured linear system. Since the linear system is solved at each step of a ...
    • Article  

      The method of fundamental solutions for three-dimensional inverse geometric elasticity problems 

      Karageorghis, Andreas; Lesnic, D.; Marin, L. (2016)
      We investigate the numerical reconstruction of smooth star-shaped voids (rigid inclusions and cavities) which are compactly contained in a three-dimensional isotropic linear elastic medium from a single set of Cauchy data ...
    • Article  

      Numerical simulations of cessation flows of a Bingham plastic with the augmented Lagrangian method 

      Muravleva, L.; Muravleva, E.; Georgiou, Georgios C.; Mitsoulis, Evan C. (2010)
      The augmented Lagrangian/Uzawa method has been used to study benchmark one-dimensional cessation flow problems of a Bingham fluid, such as the plane Couette flow, and the plane, round, and annular Poiseuille flows. The ...
    • Conference Object  

      Performance of GMRES for the MFS 

      Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis (2009)
      In this work we present some preliminary numerical results regarding the performance of the Generalized Minimal Residual (GMRES) method when it is applied to the solution of the linear systems arising from the discretization ...
    • Conference Object  

      A scalable iterative convex design for nonlinear systems 

      Baldi, S.; Ioannou, Petros A.; Kosmatopoulos, E. B. (2012)
      A recently developed control scheme for approximately optimal control of nonlinear systems is the so-called Convex Control Design (ConvCD) methodology, that transforms the control problem of generic nonlinear systems into ...
    • Article  

      The steady annular extrusion of a Newtonian liquid under gravity and surface tension 

      Housiadas, Kostas D.; Georgiou, Georgios C.; Tsamopoulos, J. (2000)
      The steady extrusion of a Newtonian liquid through an annular die and its development outside and away from the die are studied under the influence of gravitational and surface tension forces. The finite element method ...
    • Conference Object  

      Steady flow of a two-dimensional film under pressure 

      Georgiou, Georgios C.; Tsamopoulos, J.; Schultz, W. W. (2000)
      We use finite elements and the full Newton iteration method to solve the steady, two-dimensional flow of a Newtonian planar film, issuing from a slit under a pressure difference between the two free surfaces, in the presence ...