Physics-informed machine learning in asymptotic homogenization of elliptic equations

DOI10.1016/j.cma.2024.117043MaRDI QIDQ6557811

Celal Soyarslan, Marc Pradas

Publication date: 18 June 2024

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

elliptic equationsasymptotic homogenizationmachine learningdiffuse interfaceBravais latticephysics-based neural network

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Second-order elliptic equations (35J15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

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