3D unsteady diffusion and reaction-diffusion with singularities by GFEM with 27-node hexahedrons
type: Item
instance of: scholarly article
title: 3D unsteady diffusion and reaction-diffusion with singularities by GFEM with 27-node hexahedrons
zbMATH Open document ID: 1407.65202
DOI: 10.1155/2014/560492
author: Estaner Claro Romão
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 65M60
zbMATH DE Number: 7016728
Wikidata QID: Q59065968
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/560492
OpenAlex ID: W2105971933
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description: scientific article; zbMATH DE number 7016728