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.