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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 = {H. Lee and D. Sheen}, 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 AU - H. Lee & D. Sheen 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 and D. Sheen. (2005). 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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