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An energy approach to the solution of partial differential equations in computational mechanics via machine learning: Concepts, implementation and applications
ArticleAbstract: Partial Differential Equations (PDEs) are fundamental to model different phenomena in science and enPalabras claves:Deep Neural Networks, Energy approach, Physics informedAutores:Anitescu C., Goswami S., Guo H., Hamdia K., Nguyen-Thanh V.M., Patricio Xavier Lazo Jara, Rabczuk T., Zhuang X.Fuentes:googlescopusDiscontinuous modelling of shear bands using adaptive meshfree methods
ArticleAbstract: A simple methodology to model shear bands as strong displacement discontinuities in an adaptive meshPalabras claves:Loss of hyperbolicity, Meshfree methods, Shear bands, Traction-separation lawsAutores:Patricio Xavier Lazo Jara, Rabczuk T., Timon RabczukFuentes:googlerraaescopusIsogeometric analysis of insoluble surfactant spreading on a thin film
ArticleAbstract: In this paper we tackle the problem of surfactant spreading on a thin liquid film in the framework oPalabras claves:Fingering instability, High-order PDEs, Insoluble surfactant spreading, Isogeometric analysis, Thin filmAutores:Alex X. Jerves, David A. Medina, Patricio Xavier Lazo Jara, Rabczuk T., Valizadeh N.Fuentes:scopus