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 - <p style="text-align: justify;">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.</p>