TY - JOUR T1 - Basis for the Quadratic Nonconforming Triangular Element of Fortin and Soulie JO - International Journal of Numerical Analysis and Modeling VL - 4 SP - 409 EP - 421 PY - 2005 DA - 2005/02 SN - 2 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/938.html KW - quadratic nonconforming element, finite element method, error analysis. AB -

A basis for the quadratic ($P_2$) nonconforming element of Fortin and Soulie on triangles is introduced. The local and global interpolation operators are defined. Error estimates of optimal order are derived in both broken energy and $L^2(\Omega)$-norms for second-order elliptic problems. Brief numerical results are also shown.