activity
20182026
most citedAn Energy Approach to the Solution of Partial Differential Equations in Computational Mechanics via Machine Learning: Concepts, Implementation and Applications

2.1k citations · 2.2k across the 4 of their papers we have counts for

collaborators

4 papers

cs.MS2026

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…

stat.ML2019★ 2.1k cited

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…

cs.CE2019★ 10 cited

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…

cs.CE2018★ 87 cited

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…