@Article{IJNAM-3-3, author = {Long, Chen}, 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/2006-IJNAM-900}, url = {https://global-sci.com/article/83826/superconvergence-of-tetrahedral-linear-finite-elements} }