Optimal influence cover for an element free Galerkin MFree method based on artificial neural network
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...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2020-03-01
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| Series: | Comptes Rendus. Mécanique |
| Subjects: | |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.5/ |
| _version_ | 1797651454742233088 |
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| author | Hajjout, Imane Haddouch, Manal Boudi, El Mostapha |
| author_facet | Hajjout, Imane Haddouch, Manal Boudi, El Mostapha |
| author_sort | Hajjout, Imane |
| collection | DOAJ |
| description | 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%. |
| first_indexed | 2024-03-11T16:16:04Z |
| format | Article |
| id | doaj.art-39fd8b70ea5a46c18e6e23ef5f892843 |
| institution | Directory Open Access Journal |
| issn | 1873-7234 |
| language | English |
| last_indexed | 2024-03-11T16:16:04Z |
| publishDate | 2020-03-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mécanique |
| spelling | doaj.art-39fd8b70ea5a46c18e6e23ef5f8928432023-10-24T14:20:42ZengAcadémie des sciencesComptes Rendus. Mécanique1873-72342020-03-013481637610.5802/crmeca.510.5802/crmeca.5Optimal influence cover for an element free Galerkin MFree method based on artificial neural networkHajjout, Imanehttps://orcid.org/0000-0003-4131-8990Haddouch, ManalBoudi, El MostaphaThe 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%.https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.5/Meshless methodsElement free GalerkinInfluence domainArtificial neural network |
| spellingShingle | Hajjout, Imane Haddouch, Manal Boudi, El Mostapha Optimal influence cover for an element free Galerkin MFree method based on artificial neural network Comptes Rendus. Mécanique Meshless methods Element free Galerkin Influence domain Artificial neural network |
| title | Optimal influence cover for an element free Galerkin MFree method based on artificial neural network |
| title_full | Optimal influence cover for an element free Galerkin MFree method based on artificial neural network |
| title_fullStr | Optimal influence cover for an element free Galerkin MFree method based on artificial neural network |
| title_full_unstemmed | Optimal influence cover for an element free Galerkin MFree method based on artificial neural network |
| title_short | Optimal influence cover for an element free Galerkin MFree method based on artificial neural network |
| title_sort | optimal influence cover for an element free galerkin mfree method based on artificial neural network |
| topic | Meshless methods Element free Galerkin Influence domain Artificial neural network |
| url | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.5/ |
| work_keys_str_mv | AT hajjoutimane optimalinfluencecoverforanelementfreegalerkinmfreemethodbasedonartificialneuralnetwork AT haddouchmanal optimalinfluencecoverforanelementfreegalerkinmfreemethodbasedonartificialneuralnetwork AT boudielmostapha optimalinfluencecoverforanelementfreegalerkinmfreemethodbasedonartificialneuralnetwork |