N%-Superconvergence of Finite Element Approximations in the Interior of General Meshes of Triangles

1993 ◽  
Author(s):  
I. Babuska ◽  
T. Strouboulis ◽  
C. S. Upadhyay
Keyword(s):  
Finite Element ◽  
Finite Element Approximations ◽  
General Meshes

Convergence in the incompressible limit of finite element approximations based on the Hu-Washizu formulation

2006 ◽  
Vol 104 (2) ◽  
pp. 151-175 ◽  
Author(s):  
B. P. Lamichhane ◽  
B. D. Reddy ◽  
B. I. Wohlmuth
Keyword(s):  
Finite Element ◽  
Incompressible Limit ◽  
Finite Element Approximations

scholarly journals 3D Unsteady Diffusion and Reaction-Diffusion with Singularities by GFEM with 27-Node Hexahedrons

2014 ◽  
Vol 2014 ◽  
pp. 1-12 ◽  
Author(s):  
Estaner Claro Romão
Keyword(s):  
Finite Element ◽  
Variable Temperature ◽  
Three Dimensional ◽  
Reaction Diffusion ◽  
Third Order ◽  
Order Of Accuracy ◽  
Finite Element Approximations ◽  
Temperature Solution ◽  
The One ◽  
Primary Variable

The Galerkin Finite Element Method (GFEM) with 8- and 27-node hexahedrons elements is used for solving diffusion and transient three-dimensional reaction-diffusion with singularities. Besides analyzing the results from the primary variable (temperature), the finite element approximations were used to find the derivative of the temperature in all three directions. This technique does not provide an order of accuracy compatible with the one found in the temperature solution; thereto, a calculation from the third order finite differences is proposed here, which provide the best results, as demonstrated by the first two applications proposed in this paper. Lastly, the presentation and the discussion of a real application with two cases of boundary conditions with singularities are proposed.

scholarly journals On the Adaptive Selection of the Parameter in Stabilized Finite Element Approximations

2013 ◽  
Vol 51 (3) ◽  
pp. 1585-1609 ◽  
Author(s):  
Mark Ainsworth ◽  
Alejandro Allendes ◽  
Gabriel R. Barrenechea ◽  
Richard Rankin
Keyword(s):  
Finite Element ◽  
Adaptive Selection ◽  
Stabilized Finite Element ◽  
Finite Element Approximations ◽  
Selection Of

Two-scale sparse finite element approximations

2015 ◽  
Vol 59 (4) ◽  
pp. 789-808
Author(s):  
Fang Liu ◽  
JinWei Zhu
Keyword(s):  
Finite Element ◽  
Finite Element Approximations
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