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20122024
most citedAn Energy Approach to the Solution of Partial Differential Equations in Computational Mechanics via Machine Learning: Concepts, Implementation and Applications

2.1k citations · 15.7k across the 131 of their papers we have counts for

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Showing 2019Show all

23 papers · 1 filter

physics.flu-dyn2019

Shear Stress Distribution Prediction in Symmetric Compound Channels Using Data Mining and Machine Learning Models

Zohreh Sheikh Khozani, Khabat Khosravi, Mohammadamin Torabi +3

Shear stress distribution prediction in open channels is of utmost importance in hydraulic structural engineering as it directly affects the design of stable channels. In this stud…

physics.comp-ph2019★ 2 cited

A meshfree formulation for large deformation analysis of flexoelectric structures accounting for the surface effects

Xiaoying Zhuang, S. S. Nanthakumar, Timon Rabczuk

In this work, we present a compactly supported radial basis function (CSRBF) based meshfree method to analyse geometrically nonlinear flexoelectric nanostructures considering surfa…

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★ 95 cited

Three-dimensional topology optimization of auxetic metamaterial using isogeometric analysis and model order reduction

Chuong Nguyen, Xiaoying Zhuang, Ludovic Chamoin +3

In this work, we present an efficiently computational approach for designing material micro-structures by means of topology optimization. The central idea relies on using the isoge…

physics.comp-ph2019★ 88 cited

Prediction of C7N6 and C9N4: Stable and strong porous carbon-nitride nanosheets with attractive electronic and optical properties

Bohayra Mortazavi, Masoud Shahrokhi, Alexander V Shapeev +2

In this work, three novel porous carbon-nitride nanosheets with C7N6, C9N4 and C10N3 stoichiometries are predicted. First-principles simulations were accordingly employed to evalua…

stat.ML2019★ 2 cited

Transfer learning enhanced physics informed neural network for phase-field modeling of fracture

Somdatta Goswami, Cosmin Anitescu, Souvik Chakraborty +1

We present a new physics informed neural network (PINN) algorithm for solving brittle fracture problems. While most of the PINN algorithms available in the literature minimize the…