hp–Adaptive Two-Grid Discontinuous Galerkin Finite Element Methods for Quasi-Newtonian Fluid Flows

S. Congreve (), P. Houston () and T. P. Wihler ()
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S. Congreve: University of Nottingham, School of Mathematical Sciences
P. Houston: University of Nottingham, School of Mathematical Sciences
T. P. Wihler: Universität Bern, Mathematisches Institut

A chapter in Numerical Mathematics and Advanced Applications 2011, 2013, pp 341-349 from Springer

Abstract: Abstract We develop the a posteriori error analysis, with respect to a mesh–dependent energy norm, of two-grid hp–version discontinuous Galerkin finite element methods for quasi-Newtonian flows. The performance of the proposed estimators within an hp–adaptive refinement procedure is studied through a numerical experiment.

Keywords: Discontinuous Galerkin Finite Element Method (DGFEM); Mesh-dependent Energy Norm; Posteriori Error; quasi-Newtonian Flow; Second-order Quasilinear Partial Differential Equations (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-33134-3_37

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DOI: 10.1007/978-3-642-33134-3_37

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