4 papers
ADDA: a Modular Framework for Representing, Simulating and Assimilating Dynamics with End-to-end Differentiability
Anthony Frion, Vien Minh Nguyen-Thanh, Ali Can Bekar +3
Data assimilation (DA) is an essential tool for prediction and understanding in the geosciences. DA combines simulation programs representing scientific knowledge with observations…
An Energy Approach to the Solution of Partial Differential Equations in Computational Mechanics via Machine Learning: Concepts, Implementation and Applications
Esteban Samaniego, Cosmin Anitescu, Somdatta Goswami +5
Partial Differential Equations (PDE) are fundamental to model different phenomena in science and engineering mathematically. Solving them is a crucial step towards a precise knowle…
A surrogate model for computational homogenization of elastostatics at finite strain using the HDMR-based neural network approximator
Vien Minh Nguyen-Thanh, Lu Trong Khiem Nguyen, Timon Rabczuk +1
We propose a surrogate model for two-scale computational homogenization of elastostatics at finite strains. The macroscopic constitutive law is made numerically available via an ex…
A Virtual Element Method for 2D linear elastic fracture analysis
Vien Minh Nguyen-Thanh, Xiaoying Zhuang, Hung Nguyen-Xuan +2
This paper presents the Virtual Element Method (VEM) for the modeling of crack propagation in 2D within the context of linear elastic fracture mechanics (LEFM). By exploiting the a…