On the Error Estimate for the Isoparametric Finite Element Method

On the Error Estimate for the Isoparametric Finite Element Method

Year:    1985

Journal of Computational Mathematics, Vol. 3 (1985), Iss. 3 : pp. 211–218

Abstract

In this paper, the isoparametric element of 2-degree Lagrange type for second order elliptic P.D.E, with nonhomogeneous Dirichlet boundary value is considered. We prove $\|u-u_h\|_{1,\Omega}=O(h^2)$, which is the same as $\|u-u_h\|_{1,\Omega_h}=O(h^2)$ where $\Omega$ and $\Omega_h$ in $R^2$ are the domain of the boundary value problem and isoparametric triangulation domain respectively.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1985-JCM-9618

Journal of Computational Mathematics, Vol. 3 (1985), Iss. 3 : pp. 211–218

Published online:    1985-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords: