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[83280] Artykuł: An enhanced XFEM for the discontinuous Poisson problemCzasopismo: Archive of Mechanical Engineering Tom: 66, Zeszyt: 1, Strony: 25-37ISSN: 0004-0738 Wydawca: POLSKA AKAD NAUK, POLISH ACAD SCIENCES, PL DEFILAD 1, WARSZAWA, 00-901, POLAND Opublikowano: 2019 Autorzy / Redaktorzy / Twórcy Grupa MNiSW: Publikacja w czasopismach wymienionych w wykazie ministra MNiSzW (część A) Punkty MNiSW: 70 Klasyfikacja Web of Science: Article DOI Web of Science Keywords: discontinuity  XFEM  recovery procedure  Poisson equation   |
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.