Approximation classes for adaptive higher order finite element approximation
Approximation classes for adaptive higher order finite element approximation
复制标题
自适应高阶有限元近似的近似类
作者：
F. Gaspoz;P. Morin
我们提供了一个几乎表征的逼近类出现时，使用自适应有限元的拉格朗日型的任何固定的多项式次数。的特征是规定的贝索夫正则性，并要求在空间内的近似与可积指数低于1。本文将Binev等关于线性有限元的结果推广到高阶有限元。[BDDP 2002]。
We provide an almost characterization of the approximation classes appearing when using adaptive finite elements of Lagrange type of any fixed polynomial degree. The characterization is stated in terms of Besov regularity, and requires the approximation within spaces with integrability indices below one. This article generalizes to higher order finite elements the results presented for linear finite elements by Binev et. al. [BDDP 2002].