TY - JOUR N2 - In the paper, the extended finite element method (XFEM) is combined with a recovery procedure in the analysis of the discontinuous Poisson problem. The model considers the weak as well as the strong discontinuity. Computationally efficient low-order finite elements provided good convergence are used. The combination of the XFEM with a recovery procedure allows for optimal convergence rates in the gradient i.e. as the same order as the primary solution. The discontinuity is modelled independently of the finite element mesh using a step-enrichment and level set approach. The results show improved gradient prediction locally for the interface element and globally for the entire domain. L1 - http://journals.pan.pl/Content/110276/PDF/AME_2019_126369.pdf L2 - http://journals.pan.pl/Content/110276 PY - 2019 IS - No 1 EP - 37 DO - 10.24425/ame.2019.126369 KW - discontinuity KW - XFEM KW - recovery procedure KW - Poisson equation A1 - Stąpór, Paweł PB - Polish Academy of Sciences, Committee on Machine Building VL - vol. 66 DA - 2019.03.25 T1 - An enhanced XFEM for the discontinuous Poisson problem SP - 25 UR - http://journals.pan.pl/dlibra/publication/edition/110276 T2 - Archive of Mechanical Engineering ER -