scholarly journals Global Superconvergence of the Lowest-Order Mixed Finite Element on Mildly Structured Meshes

2018 ◽  
Vol 56 (2) ◽  
pp. 792-815 ◽  
Author(s):  
Yu-Wen Li
Keyword(s):  
Finite Element ◽  
Mixed Finite Element ◽  
Structured Meshes ◽  
Global Superconvergence

scholarly journals Superconvergence of a New Nonconforming Mixed Finite Element Scheme for Elliptic Problem

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Lifang Pei ◽  
Dongyang Shi
Keyword(s):  
Finite Element ◽  
Elliptic Problem ◽  
Degrees Of Freedom ◽  
Mixed Finite Element ◽  
Finite Element Scheme ◽  
Element Scheme ◽  
Interpolation Postprocessing ◽  
Variational Form ◽  
Order Elliptic Problem ◽  
Global Superconvergence

A new nonconforming mixed finite element scheme for the second-order elliptic problem is proposed based on a new mixed variational form. It has the lowest degrees of freedom on rectangular meshes. The superclose property is proven by employing integral identity technique. Then global superconvergence result is derived through interpolation postprocessing operators. At last, some numerical experiments are carried out to verify the theoretical analysis.

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