L2(H1 Norm A PosterioriError Estimation for Discontinuous Galerkin Approximations of Reactive Transport Problems

作者: Shuyu Sun , Mary F. Wheeler

DOI: 10.1007/S10915-004-4148-2

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摘要: Explicita posteriori residual type error estimators in L2(H1) norm are derived for discontinuous Galerkin (DG) methods applied to transport porous media with general kinetic reactions. They flexible and apply all the four primal DG schemes, namely, Oden--Babu?ka--Baumann (OBB-DG), non-symmetric interior penalty (NIPG), symmetric (SIPG) incomplete (IIPG). The use directly available information from numerical solution can be computed efficiently. Numerical examples presented demonstrate efficiency effectivity of these theoretical estimators.

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