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Residual-based a posteriori error estimation for contact problems approximated by Nitsche's method

Chouly, Franz ; Fabre, Mathieu ; Hild, Patrick ; Pousin, Jérôme ; Renard, Yves

In: IMA Journal of Numerical Analysis, 2018, vol. 38, no. 2, p. 921-954

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    Titel
    • Residual-based a posteriori error estimation for contact problems approximated by Nitsche's method
    Autor
    • Chouly, Franz. Laboratoire de Mathématiques de Besançon - UMR CNRS, Université Bourgogne Franche Comté, Besançon Cedex, France
    • Fabre, Mathieu. EPFL SB MATHICSE (Bt. MA), CH Lausanne, Switzerland
    • Hild, Patrick. Institut de Mathématiques de Toulouse - UMR CNRS, Université Paul Sabatier, Toulouse Cedex, France
    • Pousin, Jérôme. Université de Lyon, CNRS, INSA-Lyon, ICJ UMR, LaMCoS, Villeurbanne, France
    • Renard, Yves. Université de Lyon, CNRS, INSA-Lyon, ICJ UMR, LaMCoS, Villeurbanne, France
    Dokumententyp
    • Postprint
    Sprache
    • Englisch
    Veröffentlicht in
    • IMA Journal of Numerical Analysis, 2018, vol. 38, no. 2, p. 921-954. Oxford University Press
    Andere elektronische Ausgabe
    OAI-PMH-ID
    • oai:doc.rero.ch:332877
    Summary
    We introduce a residual-based a posteriori error estimator for contact problems in two- and three-dimensional linear elasticity, discretized with linear and quadratic finite elements and Nitsche's method. Efficiency and reliability of the estimator are proved under a saturation assumption. Numerical experiments illustrate the theoretical properties and the good performance of the estimator.