Neural network-augmented differentiable finite element method for boundary value problems

X Wang, ZY Yin, W Wu, HH Zhu - International Journal of Mechanical …, 2025 - Elsevier
Classical numerical methods such as finite element method (FEM) face limitations due to
their low efficiency when addressing large-scale problems. As a novel paradigm, the physics …

[HTML][HTML] Differentiable finite element method with Galerkin discretization for fast and accurate inverse analysis of multidimensional heterogeneous engineering …

X Wang, ZY Yin, W Wu, HH Zhu - Computer Methods in Applied Mechanics …, 2025 - Elsevier
Physics-informed neural networks (PINNs) are well-regarded for their capabilities in inverse
analysis. However, efficient convergence is hard to achieve due to the necessity of …

Finite Element Neural Network Interpolation. Part II: Hybridisation with the Proper Generalised Decomposition for non-linear surrogate modelling

A Daby-Seesaram, K Škardová, M Genet - arXiv preprint arXiv:2412.05714, 2024 - arxiv.org
This work introduces a hybrid approach that combines the Proper Generalised
Decomposition (PGD) with deep learning techniques to provide real-time solutions for …

Structural constitutive models for soft biological tissues and biomaterials: the role of mechanical interactions

S Motiwale, MS Sacks - Mechanics of Soft Materials, 2025 - Springer
In this review, we explore the development of the structural constitutive models for soft
biological tissues and biomaterials, focusing on the role of mechanical interactions. Soft …

[HTML][HTML] Synergistic biophysics and machine learning modeling to rapidly predict cardiac growth probability

CE Jones, PJA Oomen - Computers in Biology and Medicine, 2025 - Elsevier
Computational models that can predict growth and remodeling of the heart could have
important clinical applications. However, the time it takes to calibrate and run current models …