A SUPG Formulation for Solving a Class of Singularly Perturbed Steady Problems in 2D

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Cengizci S., Uğur Ö., Srinivasan N.

The 20th Biennial Computational Techniques and Applications, Sydney, Australia, 30 August - 02 September 2020, pp.23

  • Publication Type: Conference Paper / Summary Text
  • City: Sydney
  • Country: Australia
  • Page Numbers: pp.23
  • Middle East Technical University Affiliated: Yes

Abstract

In this presentation, approximate solutions of singularly perturbed partial differential equations are examined. It is a well-known fact that the standard Galerkin finite element method (GFEM) experiences some instability problems in obtaining accurate approximations to the solution of convection-dominated equations. Therefore, in this work, the Streamline-Upwind/Petrov-Galerkin (SUPG) method is employed to overcome the instability issues for the numerical solution of these kinds of problems. Furthermore, the stabilized scheme is supported by a shock-capturing technique. Two numerical experiments are provided to compare the results obtained by the GFEM and SUPG methods.