3 papers
math.NA2026
Mode veering and symmetry-protected crossings in conservative elastic waveguides: unified perturbation-theoretic interpretation and adaptive tracking
Dong Xiao, Zahra Sharif-Khodaei, M. H. Aliabadi
Accurate mode tracking is essential for elastic waveguide dispersion analysis in ultrasonic nondestructive evaluation and structural health monitoring. Its reliability, however, de…
cs.LG2026
Discrete Solution Operator Learning for Geometry-Dependent PDEs
Jinshuai Bai, Haolin Li, Zahra Sharif Khodaei +3
Neural operator learning accelerates PDE solution by approximating operators as mappings between continuous function spaces. Yet in many engineering settings, varying geometry indu…
cs.CE2025
Finite-PINN: A Physics-Informed Neural Network with Finite Geometric Encoding for Solid Mechanics
Haolin Li, Yuyang Miao, Zahra Sharif Khodaei +1
PINN models have demonstrated capabilities in addressing fluid PDE problems, and their potential in solid mechanics is beginning to emerge. This study identifies two key challenges…