Three-Dimensional Delaunay Triangulations for Finite Element Approximations to a Second-Order Diffusion Operator

1992 ◽  
Vol 13 (3) ◽  
pp. 765-770 ◽  
Author(s):  
Frank W. Letniowski
Keyword(s):  
Finite Element ◽  
Three Dimensional ◽  
Second Order ◽  
Delaunay Triangulations ◽  
Diffusion Operator ◽  
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.

Three dimensional hierarchical mixed finite element approximations with enhanced primal variable accuracy

2016 ◽  
Vol 306 ◽  
pp. 479-502 ◽  
Author(s):  
Douglas A. Castro ◽  
Philippe R.B. Devloo ◽  
Agnaldo M. Farias ◽  
Sônia M. Gomes ◽  
Denise de Siqueira ◽  
...  
Keyword(s):  
Finite Element ◽  
Mixed Finite Element ◽  
Three Dimensional ◽  
Finite Element Approximations
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