WSEAS Transactions on Fluid Mechanics
Print ISSN: 1790-5087, E-ISSN: 2224-347X
Volume 9, 2014
Least Squares Finite Element Method for 3D Unsteady Diffusion and Reaction-Diffusion Problems
Authors: , ,
Abstract: In this paper a study to application of Least Squares Finite Element Method (LSFEM) is made and with auxiliary equations (temperature derivatives) in the solution of Transient Three-dimensional Diffusion-Reaction. In order to do so, two applications are presented and discussed, one of them Pure Diffusion and another Diffusion-Reaction, both solved towards the constructive meshes with hexahedron of 8 and 27 nodes. This analysis uses the standard L (maximum error in all meshes) and L2 (average error in all the meshes) to verify the numerical error committed in the solution.