Superconvergence of the function value for pentahedral finite elements for an elliptic equation with varying coefficients

Abstract In this article, for an elliptic equation with varying coefficients, we first derive an interpolation fundamental estimate for the P 2 ( x , y ) ⊗ P 2 ( z ) $\mathcal{P}_{2}(x,y)\otimes \mathcal{P}_{2}(z)$ pentahedral finite element over uniform partitions of the domain. Then combined with...

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Bibliographic Details
Main Authors: Jinghong Liu, Qiding Zhu
Format: Article
Language:English
Published: SpringerOpen 2020-01-01
Series:Boundary Value Problems
Subjects:
Online Access:https://doi.org/10.1186/s13661-019-01318-y