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 a problem with rough source term where the solution can not be characterised as a weak solution and show quasi-optimal error control.
Original language | English |
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Pages (from-to) | 1533-1551 |
Number of pages | 19 |
Journal | Calcolo |
Volume | 54 |
Issue number | 4 |
Early online date | 1 Nov 2017 |
DOIs | |
Publication status | Published - 1 Dec 2017 |
Bibliographical note
10 pages, 1 figureKeywords
- math.NA