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Estimations d’Erreur dans L∞ pour les Inequations a Obstacle

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Mathematical Aspects of Finite Element Methods

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 606))

Abstract

Soit Wh (resp. uh) la solution approchée obtenue en discrétisant par éléments finis du premier ordre une équation (resp. une inéquation) variationnelle dont la solution est u. On compare les quantités ‖u−uh‖L ∞ et ‖u−wh‖L ∞ (cf. (4.2) suivante); on en déduit une estimation "presque optimale" pour ‖u−uh‖L ∞ (cf. (4.3) suivante).

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Authors and Affiliations

  1. Istituto di Matematica dell’Università et L.A.N. del C.N.R., Pavia, Italie

    C. Baiocchi

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  1. C. Baiocchi
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Ilio Galligani Enrico Magenes

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© 1977 Springer-Verlag

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Baiocchi, C. (1977). Estimations d’Erreur dans L∞ pour les Inequations a Obstacle. In: Galligani, I., Magenes, E. (eds) Mathematical Aspects of Finite Element Methods. Lecture Notes in Mathematics, vol 606. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064453

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  • DOI: https://doi.org/10.1007/BFb0064453

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08432-7

  • Online ISBN: 978-3-540-37158-8

  • eBook Packages: Springer Book Archive

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