Machine Learning Surrogate Modeling for Meshless Methods: Leveraging Universal Approximation

Autor:	Abderrachid Hamrani, Abdolhamid Akbarzadeh, Chandra A. Madramootoo, Fatma Zohra Bouarab
Rok vydání:	2022
Předmět:	Computational Mathematics Computer Science (miscellaneous)
Zdroj:	International Journal of Computational Methods.
ISSN:	1793-6969 0219-8762
Popis:	This paper presents a machine learning (ML) surrogate modeling for fast processing in meshless/meshfree methods. The main idea is to leverage the universal approximation (UA) propriety of supervised ML models (shallow/deep learning and other regression models) to surrogate the heavy shape function construction in meshless methods. The resulting ML metamodel preserves the same accuracy of the meshless interpolation while avoiding costly matrix inversion operations. The total computation time for solving 3D test simulation problems (using more than 20[Formula: see text]k nodes) is reduced by a factor of 1[Formula: see text]k in the case of the Gaussian process (GP) metamodel.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e81d17e466e7c0a8ac7efe21cdaeb3eb https://doi.org/10.1142/s021987622141022x Zobrazit plný text záznamu