17 citations · 30 across the 9 of their papers we have counts for
10 papers
Low-Rank Koopman Deformables with Log-Linear Time Integration
Yue Chang, Peter Yichen Chen, Eitan Grinspun +1
We present a low-rank Koopman operator formulation for accelerating deformable subspace simulation. Using a Dynamic Mode Decomposition (DMD) parameterization of the Koopman operato…
Interpolated Adaptive Linear Reduced Order Modeling for Deformation Dynamics
Yutian Tao, Maurizio Chiaramonte, Pablo Fernandez
Linear reduced-order modeling (ROM) is widely used for efficient simulation of deformation dynamics, but its accuracy is often limited by the fixed linearization of the reduced map…
Force-Dual Modes: Subspace Design from Stochastic Forces
Otman Benchekroun, Eitan Grinspun, Maurizio Chiaramonte +1
Designing subspaces for Reduced Order Modeling (ROM) is crucial for accelerating finite element simulations in graphics and engineering. Unfortunately, it's not always clear which…
Shape Space Spectra
Yue Chang, Otman Benchekroun, Maurizio M. Chiaramonte +2
Eigenanalysis of differential operators, such as the Laplace operator or elastic energy Hessian, is typically restricted to a single shape and its discretization, limiting reduced…
Neural Stress Fields for Reduced-order Elastoplasticity and Fracture
Zeshun Zong, Xuan Li, Minchen Li +6
We propose a hybrid neural network and physics framework for reduced-order modeling of elastoplasticity and fracture. State-of-the-art scientific computing models like the Material…
LiCROM: Linear-Subspace Continuous Reduced Order Modeling with Neural Fields
Yue Chang, Peter Yichen Chen, Zhecheng Wang +3
Linear reduced-order modeling (ROM) simplifies complex simulations by approximating the behavior of a system using a simplified kinematic representation. Typically, ROM is trained…
CROM: Continuous Reduced-Order Modeling of PDEs Using Implicit Neural Representations
Peter Yichen Chen, Jinxu Xiang, Dong Heon Cho +6
The long runtime of high-fidelity partial differential equation (PDE) solvers makes them unsuitable for time-critical applications. We propose to accelerate PDE solvers using reduc…
Model reduction for the material point method via an implicit neural representation of the deformation map
Peter Yichen Chen, Maurizio M. Chiaramonte, Eitan Grinspun +1
This work proposes a model-reduction approach for the material point method on nonlinear manifolds. Our technique approximates the by approximating the deform…
Universal Meshes for the Simulation of Brittle Fracture and Moving Boundary Problems
Maurizio M. Chiaramonte, Evan S. Gawlik, Hardik Kabaria +1
Universal meshes have recently appeared in the literature as a compu- tationally efficient and robust paradigm for the generation of conforming simpli- cial meshes for domains with…
Computing stress intensity factors for curvilinear cracks
Maurizio M. Chiaramonte, Yongxing Shen, Leon M. Keer +1
The use of the interaction integral to compute stress intensity factors around a crack tip requires selecting an auxiliary field and a material variation field. We formulate a fami…