@Article{JCM-3-211, author = {Lie-Heng Wang}, title = {On the Error Estimate for the Isoparametric Finite Element Method}, journal = {Journal of Computational Mathematics}, year = {1985}, volume = {3}, number = {3}, pages = {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.
}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9618.html} }