no code implementations • 21 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.
no code implementations • 20 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.
1 code implementation • 26 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.
no code implementations • 25 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
no code implementations • 31 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