scholarly journals A high-resolution Petrov–Galerkin method for the convection–diffusion–reaction problem. Part II—A multidimensional extension

2012 ◽  
Vol 213-216 ◽  
pp. 327-352 ◽  
Author(s):  
Prashanth Nadukandi ◽  
Eugenio Oñate ◽  
Julio García
2015 ◽  
Vol 751 ◽  
pp. 313-318
Author(s):  
Estaner Claro Romão ◽  
Luiz Felipe Mendes de Moura

In this paper, an important study on the application of the α family of temporal discretization is presented. For spatial discretization the Galerkin Method (GFEM) was used. With the variation of the α coefficient in temporal discretization and through one numerical applications with exact solution, it will be possible to have an initial idea on how each one of the two suggested methods behaves. It is expected that this study can be able to advance several other studies within the domain of numerical simulation of physical problems. It is important to note that for all applications we will use a mesh that is considered gross, with the purpose of presenting a method that is robust, precise and mainly computationally economic.


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