hp-Optimal discontinuous Galerkin methods for linear elliptic problems

The aim of this paper is to overcome the well-known lack of p-optimality in hp-version discontinuous Galerkin (DG) discretizations for the numerical approximation of linear elliptic problems. For this purpose, we shall present and analyze a class of hp-DG methods that is closely related to other DG schemes, however, combines both p-optimal jump penalty as well as lifting stabilization. We will prove that the resulting error estimates are optimal with respect to both the local element sizes and polynomial degrees.


Year:
2007
Keywords:
Note:
please cite as: EPFL/IACS report 07.2007
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 Record created 2007-10-26, last modified 2018-09-25

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