WIAS Preprint No. 1828, (2013)

A study of isogeometric analysis for scalar convection-diffusion equations



Authors

  • John, Volker
    ORCID: 0000-0002-2711-4409
  • Schumacher, Liesel

2010 Mathematics Subject Classification

  • 65N30

Keywords

  • Isogeometric analysis, streamline upwind, Petrov--Galerkin stabilization, Hemker problem, over- and undershoots, sharpness of layers

Abstract

Isogeometric Analysis (IGA), in combination with the Streamline Upwind Petrov--Galerkin (SUPG) stabilization, is studied for the discretization of steady-state convection-diffusion equations. Numerical results obtained for the Hemker problem are compared with results computed with the SUPG finite element method of the same order. Using an appropriate parameterization for IGA, the computed solutions are much more accurate than those obtained with the finite element method, both in terms of the size of spurious oscillations and of the sharpness of layers.

Appeared in

  • Appl. Math. Lett., 27 (2014) pp. 43--48.

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