An accurate H(div) flux reconstruction for discontinuous Galerkin approximations of elliptic problems

• DOI: 10.1016/j.crma.2007.10.036
• Publication Date: 2007-11-27T14:09:43Z
• Authors: Alexandre Ern; Serge Nicaise; Martin Vohralík
• Keywords: Divergence (linguistics)

Abstract We introduce a new H ( div ) flux reconstruction for discontinuous Galerkin approximations of elliptic problems. The reconstructed flux is computed elementwise and its divergence equals the L 2 -orthogonal projection of the source term onto the discrete space. Moreover, the energy-norm of the error in the flux is bounded by the discrete energy-norm of the error in the primal variable, independently of diffusion heterogeneities. To cite this article: A. Ern et al., C. R. Acad. Sci. Paris, Ser. I 345 (2007).