Analysis of discontinuous Galerkin methods using mesh-dependent norms and applications to problems with rough dataGeorgoulis, E. H. and Pryer, T. (2017) Analysis of discontinuous Galerkin methods using mesh-dependent norms and applications to problems with rough data. Calcolo, 54 (4). pp. 1533-1551. ISSN 1126-5434
It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing. To link to this item DOI: 10.1007/s10092-017-0240-5 Abstract/SummaryWe 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.
Download Statistics DownloadsDownloads per month over past year Altmetric Deposit Details University Staff: Request a correction | Centaur Editors: Update this record |
Lists
Lists
![[img]](/style/images/fileicons/text.png)