Development of Multi-scale Plastic Analysis Code Based on Crystalline Homogenization Finite Element Method

2002 ◽  
Vol 2002.15 (0) ◽  
pp. 127-128
Author(s):  
Shinji IIHOSHI ◽  
Y. P. CHEN ◽  
Sei UEDA ◽  
Yasutomo UETSUJI ◽  
Eiji NAKAMACHI
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Multi Scale ◽  
Plastic Analysis ◽  
Element Method

scholarly journals A posteriori error estimates for a multi-scale finite-element method

2021 ◽  
Vol 40 (4) ◽  
Author(s):  
Khallih Ahmed Blal ◽  
Brahim Allam ◽  
Zoubida Mghazli
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
A Posteriori Error Estimates ◽  
Numerical Test ◽  
Posteriori Error ◽  
Diffusion Problem ◽  
A Posteriori ◽  
Essential Information ◽  
Multi Scale ◽  
Element Method

AbstractWe are interested in the discretization of a diffusion problem with highly oscillating coefficient, by a multi-scale finite-element method (MsFEM). The objective of this method is to capture the multi-scale structure of the solution via local basis functions which contain the essential information on small scales. In this paper, we perform an a posteriori analysis of this discretization. The main result consists of building error indicators with respect to both small and large meshes used in this method. We present a numerical test in which the experiments are in good coherency with the results of analysis.

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