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- W57410725 abstract "We prove an a-posteriori error estimate for h p -adaptive discontinuous Galerkin methods for the numerical solution of convection–diffusion equations on anisotropically refined rectangular elements. The estimate yields global upper and lower bounds of the errors measured in terms of a natural norm associated with diffusion and a semi-norm associated with convection. The anisotropy of the underlying meshes is incorporated in the upper bound through an alignment measure. We present a series of numerical experiments to test the feasibility of this approach within a fully automated h p -adaptive refinement algorithm." @default.
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- W57410725 date "2014-03-01" @default.
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- W57410725 title "An a-posteriori error estimate for<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si36.gif display=inline overflow=scroll><mml:mi>h</mml:mi><mml:mi>p</mml:mi></mml:math>-adaptive DG methods for convection–diffusion problems on anisotropically refined meshes" @default.
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- W57410725 doi "https://doi.org/10.1016/j.camwa.2012.10.015" @default.
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