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Volume 2, Issue 1
Locating Natural Superconvergent Points of Finite Element Methods in 3D

Z. Zhang & R. Lin

Int. J. Numer. Anal. Mod., 2 (2005), pp. 19-30.

Published online: 2005-02

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  • Abstract

In [20], we analytically identified natural superconvergent points of function values and gradients for several popular three-dimensional polynomial finite elements via an orthogonal decomposition. This paper focuses on the detailed process for determining the superconvergent points of pentahedral and tetrahedral elements.

  • Keywords

finite element methods, three-dimensional problems, natural superconvergence, pentahedral elements and tetrahedral elements.

  • AMS Subject Headings

65N30, 65N15

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-2-19, author = {}, title = {Locating Natural Superconvergent Points of Finite Element Methods in 3D}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2005}, volume = {2}, number = {1}, pages = {19--30}, abstract = {

In [20], we analytically identified natural superconvergent points of function values and gradients for several popular three-dimensional polynomial finite elements via an orthogonal decomposition. This paper focuses on the detailed process for determining the superconvergent points of pentahedral and tetrahedral elements.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/917.html} }
TY - JOUR T1 - Locating Natural Superconvergent Points of Finite Element Methods in 3D JO - International Journal of Numerical Analysis and Modeling VL - 1 SP - 19 EP - 30 PY - 2005 DA - 2005/02 SN - 2 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/917.html KW - finite element methods, three-dimensional problems, natural superconvergence, pentahedral elements and tetrahedral elements. AB -

In [20], we analytically identified natural superconvergent points of function values and gradients for several popular three-dimensional polynomial finite elements via an orthogonal decomposition. This paper focuses on the detailed process for determining the superconvergent points of pentahedral and tetrahedral elements.

Z. Zhang & R. Lin. (1970). Locating Natural Superconvergent Points of Finite Element Methods in 3D. International Journal of Numerical Analysis and Modeling. 2 (1). 19-30. doi:
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