@ARTICLE{Stąpór_Paweł_An_2019,
 author={Stąpór, Paweł},
 volume={vol. 66},
 number={No 1},
 journal={Archive of Mechanical Engineering},
 pages={25-37},
 howpublished={online},
 year={2019},
 publisher={Polish Academy of Sciences, Committee on Machine Building},
 abstract={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.},
 type={Artykuły / Articles},
 title={An enhanced XFEM for the discontinuous Poisson problem},
 URL={http://ochroma.man.poznan.pl/Content/110276/PDF/AME_2019_126369.pdf},
 doi={10.24425/ame.2019.126369},
 keywords={discontinuity, XFEM, recovery procedure, Poisson equation},
}