2 papers
math.NA2026
Optimal Recovery for Solving Variational Problems
Ting Wang, Gideon Simpson, Jaroslaw Knap
In science and engineering, many physical laws and scientific principles naturally arise as variational problems of minimizing an energy functional over an appropriate functional s…
cs.LG2025
Deep Ritz method with Fourier feature mapping: A deep learning approach for solving variational models of microstructure
Ensela Mema, Ting Wang, Jaroslaw Knap
This paper presents a novel approach that combines the Deep Ritz Method (DRM) with Fourier feature mapping to solve minimization problems comprised of multi-well, non-convex energy…