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Title: Analysis of discontinuous Galerkin methods using mesh-dependent norms and applications to problems with rough data
Authors: Georgoulis, Emmanuil H.
Pryer, Tristan
First Published: 1-Dec-2017
Publisher: Springer Verlag for Institute for Computational Mathematics
Citation: Calcolo, 2017, 54 (4), pp. 1533-1551
Abstract: We prove the inf-sup stability of a discontinuous Galerkin scheme for second order elliptic operators in (unbalanced) mesh-dependent norms for quasi-uniform meshes for all spatial dimensions. This results in a priori error bounds in these norms. As an application we examine some problems with rough source term where the solution can not be characterised as a weak solution and show quasi-optimal error control.
DOI Link: 10.1007/s10092-017-0240-5
ISSN: 0008-0624
eISSN: 1126-5434
Version: Publisher Version
Status: Peer-reviewed
Type: Journal Article
Rights: Copyright © the authors, 2017. This is an open-access article distributed under the terms of the Creative Commons Attribution License (, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Appears in Collections:Published Articles, Dept. of Mathematics

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