Search Results for author: Dennis M. Kochmann

Found 5 papers, 1 papers with code

Physics-Informed Diffusion Models

no code implementations21 Mar 2024 Jan-Hendrik Bastek, WaiChing Sun, Dennis M. Kochmann

We present a framework to inform denoising diffusion models on underlying constraints on such generated samples during model training.

Denoising

GNN-Assisted Phase Space Integration with Application to Atomistics

no code implementations20 Mar 2023 Shashank Saxena, Jan-Hendrik Bastek, Miguel Spinola, Prateek Gupta, Dennis M. Kochmann

As a remedy, we demonstrate that Graph Neural Networks, trained on Monte-Carlo data, can serve as a replacement for commonly used numerical quadrature rules, overcoming their deficiencies and significantly improving the accuracy.

Computational Efficiency

Physics-Informed Neural Networks for Shell Structures

1 code implementation26 Jul 2022 Jan-Hendrik Bastek, Dennis M. Kochmann

The numerical modeling of thin shell structures is a challenge, which has been met by a variety of finite element (FE) and other formulations -- many of which give rise to new challenges, from complex implementations to artificial locking.

Nonequilibrium thermomechanics of Gaussian phase packet crystals: application to the quasistatic quasicontinuum method

no code implementations25 Jan 2021 Prateek Gupta, Dennis M. Kochmann

We investigate the quasistatics and dynamics of a crystalline solid described as a lattice of lumped correlated Gaussian phase packets occupying atomic lattice sites.

Mesoscale and Nanoscale Physics Atomic Physics Classical Physics Computational Physics

Data-driven topology optimization of spinodoid metamaterials with seamlessly tunable anisotropy

no code implementations31 Dec 2020 Li Zheng, Siddhant Kumar, Dennis M. Kochmann

We present a two-scale topology optimization framework for the design of macroscopic bodies with an optimized elastic response, which is achieved by means of a spatially-variant cellular architecture on the microscale.

Computational Engineering, Finance, and Science

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