Symbolic-Numerical Algorithms for Solving the Parametric Self-adjoint 2D Elliptic Boundary-Value Problem Using High-Accuracy Finite Element Method

2017 ◽  
pp. 151-166 ◽  
Author(s):  
A. A. Gusev ◽  
V. P. Gerdt ◽  
O. Chuluunbaatar ◽  
G. Chuluunbaatar ◽  
S. I. Vinitsky ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Boundary Value Problem ◽  
Elliptic Boundary ◽  
Boundary Value ◽  
Numerical Algorithms ◽  
High Accuracy ◽  
Elliptic Boundary Value Problem ◽  
Elliptic Boundary Value ◽  
Element Method

Superconvergence Recovery for the Gradient of the Trilinear Finite Element

2011 ◽  
Vol 268-270 ◽  
pp. 1021-1024
Author(s):  
Jing Hong Liu ◽  
De Cheng Yin
Keyword(s):  
Finite Element ◽  
Boundary Value Problem ◽  
Elliptic Boundary ◽  
Boundary Value ◽  
Second Order ◽  
Three Dimensions ◽  
Elliptic Boundary Value Problem ◽  
Elliptic Boundary Value ◽  
Interpolation Postprocessing ◽  
Linear Elements

For a second-order elliptic boundary value problem in three dimensions, we use an interpolation postprocessing technique to obtain recovered gradients of tri- linear elements over regular meshes. Further, superconvergence of these gradients are proved.

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