2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67107We propose a discontinuous finite element approximation for a model of quasi-static growth of brittle fractures in linearly elastic bodies formulated by Francfort and Marigo, and based on the classical Griffith's criterion. We restrict our analysis to the case of anti-planar shear and we consider discontinuous displacements which are piecewise affine with respect to a regular triangulation.34 pages, 4 figuresAnalysis of PDEs35R35, 35J25, 74R10, 35A35, 65L60text