@Article{IJNAM-3-273, author = {Chen , Long}, title = {Superconvergence of Tetrahedral Linear Finite Elements}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2006}, volume = {3}, number = {3}, pages = {273--282}, abstract = {

In this paper, we show that the piecewise linear finite element solution $u_h$ and the linear interpolation $u_I$ have superclose gradient for tetrahedral meshes, where most elements are obtained by dividing approximate parallelepiped into six tetrahedra. We then analyze a post-processing gradient recovery scheme, showing that the global $L^2$ projection of $\nabla u_h$ is a superconvergent gradient approximation to $\nabla u$.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/900.html} }