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Volume 6, Issue 1
Hierarchical Elements, Local Mappings and the $h$-$p$ Version of the Finite Element Method (Ⅰ)

Wen-Zhang Gui

J. Comp. Math., 6 (1988), pp. 54-67.

Published online: 1988-06

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  • Abstract

This is the first half of an article which develops a theory the hierarchical elements for the $h$-$p$ version of the finite element method in the two-dimensional case. The approximation properties of the hierarchical elements are discussed. The second part will address the convergence rate when geometric meshes are used.

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@Article{JCM-6-54, author = {Gui , Wen-Zhang}, title = {Hierarchical Elements, Local Mappings and the $h$-$p$ Version of the Finite Element Method (Ⅰ)}, journal = {Journal of Computational Mathematics}, year = {1988}, volume = {6}, number = {1}, pages = {54--67}, abstract = {

This is the first half of an article which develops a theory the hierarchical elements for the $h$-$p$ version of the finite element method in the two-dimensional case. The approximation properties of the hierarchical elements are discussed. The second part will address the convergence rate when geometric meshes are used.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9498.html} }
TY - JOUR T1 - Hierarchical Elements, Local Mappings and the $h$-$p$ Version of the Finite Element Method (Ⅰ) AU - Gui , Wen-Zhang JO - Journal of Computational Mathematics VL - 1 SP - 54 EP - 67 PY - 1988 DA - 1988/06 SN - 6 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9498.html KW - AB -

This is the first half of an article which develops a theory the hierarchical elements for the $h$-$p$ version of the finite element method in the two-dimensional case. The approximation properties of the hierarchical elements are discussed. The second part will address the convergence rate when geometric meshes are used.

Gui , Wen-Zhang. (1988). Hierarchical Elements, Local Mappings and the $h$-$p$ Version of the Finite Element Method (Ⅰ). Journal of Computational Mathematics. 6 (1). 54-67. doi:
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