2 papers
math.NA2026
Geometry-Preserving Reduced-Order Modeling via Immersed Tensor Decomposition (ITD)
Lei Zhang, Jiachen Guo, Guowei He +2
Body-fitted finite-element methods deliver high-order accuracy but hinge on a clean, watertight, conforming mesh, a requirement that breaks down for the geometrically imperfect CAD…
math.NA2024
Multi-Patch Isogeometric Convolution Hierarchical Deep-learning Neural Network
Lei Zhang, Chanwook Park, T. J. R. Hughes +1
A seamless integration of neural networks with Isogeometric Analysis (IGA) was first introduced in [1] under the name of Hierarchical Deep-learning Neural Network (HiDeNN) and has…