An enhanced XFEM for the discontinuous Poisson problem

• Autorzy: Stąpór Paweł

Identyfikatory

DOI

10.24425/ame.2019.126369

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

discontinuity; extended finite element method; XFEM; recovery procedure; Poisson equation

PL

nieciągłość; rozszerzona metoda elementów skończonych; XFEM; procedura odzyskiwania; równanie Poissona

• Wydawca: Komitet Budowy Maszyn PAN
• Czasopismo: Archive of Mechanical Engineering
• Rocznik: 2019
• Tom: Vol. LXVI, nr 1
• Strony: 25--37
• Opis fizyczny: Bibliogr. 8 poz., rys.

Twórcy

autor

Stąpór Paweł

• Faculty of Management and Computer Modelling, Kielce University of Technology, Kielce, Poland

Bibliografia

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• [6] P. Stąpór. Application of XFEM with shifted-basis approximation to computation of stress intensity factors. The Archive of Mechanical Engineering, 58(4):447–483, 2011. doi: 10.2478/v10180-011-0028-0.
• [7] D. Belsley, R.E. Welsch, and E. Kuh. The Condition Number. Regression Diagnostics: Identifying Influential Data and Sources of Collinearity. John Wiley & Sons, Inc., Hoboken, New Jersey, 1980.
• [8] S. Hou and X.-D. Liu. A numerical method for solving variable coeffiecient elliptic equation with interfaces. Journal of Computational Physics, 202(2):411–445, 2005. doi: 10.1016/j.jcp.2004.07.016.

Uwagi

EN

1. This work was financially supported by Polish National Science Center (grant number 2017/01/X/ST1/00571). 2. Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).