3 papers
cs.LG2025
Robust inverse material design with physical guarantees using the Voigt-Reuss Net
Sanath Keshav, Felix Fritzen
We propose a spectrally normalized surrogate for forward and inverse mechanical homogenization with hard physical guarantees. Leveraging the Voigt-Reuss bounds, we factor their dif…
math.NA2025
Accelerating Conjugate Gradient Solvers for Homogenization Problems with Unitary Neural Operators
Julius Herb, Felix Fritzen
Rapid and reliable solvers for parametric partial differential equations (PDEs) are needed in many scientific and engineering disciplines. For example, there is a growing demand fo…
cs.LG2025
Spectral Normalization and Voigt-Reuss net: A universal approach to microstructure-property forecasting with physical guarantees
Sanath Keshav, Julius Herb, Felix Fritzen
Heterogeneous materials are crucial to producing lightweight components, functional components, and structures composed of them. A crucial step in the design process is the rapid e…