In this paper we analyze a nonsymmetric discontinuous Galerkin method for elliptic problems proposed by Oden, Babuska, and Baumann. Our main results are a complete inf-sup stability analysis and, as a consequence, error estimates in a mesh dependent energy norm allowing variable meshsize and order of polynomials. The analysis is carried out in two spatial dimensions on an unstructured triangulation.
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Larson et al. (2004) studied this question.
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