Year: 2005
International Journal of Numerical Analysis and Modeling, Vol. 2 (2005), Iss. 4 : pp. 409–421
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2005-IJNAM-938
International Journal of Numerical Analysis and Modeling, Vol. 2 (2005), Iss. 4 : pp. 409–421
Published online: 2005-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: quadratic nonconforming element finite element method error analysis.