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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 = {Z. Zhang and R. Lin}, 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 AU - Z. Zhang & R. Lin 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 and R. Lin. (2005). 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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