• Article  

      Converged solutions of the Newtonian extrudate-swell problem 

      Georgiou, Georgios C.; Boudouvis, Andreas G. (1999)
      Both the axisymmetric and the planar Newtonian extrudate-swell problems are solved using the standard and the singular finite element methods. In the latter method, special elements that incorporate the radial form of the ...
    • Article  

      A singular finite element for Stokes flow: The stick–slip problem 

      Georgiou, Georgios C.; Olson, L. G.; Schultz, W. W.; Sagan, S. (1989)
      Abrupt changes in boundary conditions in viscous flow problems give rise to stress singularities. Ordinary finite element methods account effectively for the global solution but perform poorly near the singularity. In this ...
    • Article  

      Singular finite elements for the sudden‐expansion and the die‐swell problems 

      Georgiou, Georgios C.; Schultz, W. W.; Olson, L. G. (1990)
      The singular finite element method is used to solve the sudden‐expansion and the die‐swell problems in order to improve the accuracy of the solution in the vicinity of the singularity and to speed up the convergence. The ...