Adaptive Discontinuous Galerkin Finite Element Methods with Interior Penalty for the Compressible Navier-Stokes Equations

Ralf Hartmann () and Paul Houston ()
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Ralf Hartmann: Institute of Aerodynamics and Flow Technology, German Aerospace Center
Paul Houston: University of Leicester, Department of Mathematics

A chapter in Numerical Mathematics and Advanced Applications, 2004, pp 410-419 from Springer

Abstract: Summary In this article we consider goal-oriented a posteriori error estimation for the symmetric interior penalty discontinuous Galerkin finite element discretization of the compressible Navier-Stokes equations. Numerical experiments demonstrating the accuracy of the error estimation and the performance of the adaptive mesh refinement strategy will be presented.

Keywords: Posteriori Error; Discontinuous Galerkin Method; Newton Iteration; Posteriori Error Estimation; Newton Step (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18775-9_38

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DOI: 10.1007/978-3-642-18775-9_38

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