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Volume 2, Issue 4
Basis for the Quadratic Nonconforming Triangular Element of Fortin and Soulie

H. Lee & D. Sheen

Int. J. Numer. Anal. Mod., 2 (2005), pp. 409-421.

Published online: 2005-02

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  • 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.

  • Keywords

quadratic nonconforming element, finite element method, error analysis.

  • AMS Subject Headings

35R35, 49J40, 60G40

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-2-409, author = {}, title = {Basis for the Quadratic Nonconforming Triangular Element of Fortin and Soulie}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2005}, volume = {2}, number = {4}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/938.html} }
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.

H. Lee & D. Sheen. (1970). Basis for the Quadratic Nonconforming Triangular Element of Fortin and Soulie. International Journal of Numerical Analysis and Modeling. 2 (4). 409-421. doi:
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