Please use this identifier to cite or link to this item: http://hdl.handle.net/2381/40909
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
Links: https://link.springer.com/article/10.1007%2Fs10092-017-0240-5
http://hdl.handle.net/2381/40909
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 (http://creativecommons.org/licenses/by/4.0/), 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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