Error estimates of triangular finite elements under a weak angle condition

• Autores: Shipeng Mao, Zhongci Shi
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 230, Nº 1, 2009, págs. 329-331
• Idioma: inglés
• DOI: 10.1016/j.cam.2008.11.008
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• Resumen

  • In this note, by analyzing the interpolation operator of Girault and Raviart given in [V. Girault, P.A. Raviart, Finite element methods for Navier�Stokes equations, Theory and algorithms, in: Springer Series in Computational Mathematics, Springer-Verlag, Berlin,1986] over triangular meshes, we prove optimal interpolation error estimates for Lagrange triangular finite elements of arbitrary order under the maximal angle condition in a unified and simple way. The key estimate is only an application of the Bramble�Hilbert lemma.