Comptes Rendus
Mécanique des solides numériques
Optimal influence cover for an element free Galerkin MFree method based on artificial neural network
Comptes Rendus. Mécanique, Volume 348 (2020) no. 1, pp. 63-76.

The present investigation presents an efficient meshless method based on the weak form of an element-free-Galerkin method. The formulation of the numerical solution was conducted using an artificial neural network (ANN) approach to compute the optimal number of nodes in the influence domain for each point of interest. The numerical results using the ANN model were tested and compared with different approaches in the literature. Results show a reduction in the computational cost and an enhancement in an error criterion of up to 11%.

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DOI : 10.5802/crmeca.5
Mots clés : Meshless methods, Element free Galerkin, Influence domain, Artificial neural network
Imane Hajjout 1 ; Manal Haddouch 1 ; El Mostapha Boudi 1

1 Mohammadia School of Engineers, Turbomachinery Lab, Mohammed V-University in Rabat, Rabat BP 765, Morocco
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits
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     title = {Optimal influence cover for an element free {Galerkin} {MFree} method based on artificial neural network},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {63--76},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {348},
     number = {1},
     year = {2020},
     doi = {10.5802/crmeca.5},
     language = {en},
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Imane Hajjout; Manal Haddouch; El Mostapha Boudi. Optimal influence cover for an element free Galerkin MFree method based on artificial neural network. Comptes Rendus. Mécanique, Volume 348 (2020) no. 1, pp. 63-76. doi : 10.5802/crmeca.5. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.5/

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