3 papers
quant-ph2026
Variational Quantum Algorithms for Hyperelasticity: Incorporating Nonlinear Constitutive Behavior
Uditnarayan Kouskiya, Caglar Oskay
This paper extends a recently proposed Variational Quantum Algorithm framework for nonlinear elasticity to a broader class of constitutive nonlinearities involving rational powers…
quant-ph2026
A Variational Quantum Algorithm for Nonlinear Finite Element Analysis of Hyperelastic Materials
Uditnarayan Kouskiya, Caglar Oskay
This manuscript explores a variational quantum formulation for nonlinear elasticity problems arising from hyperelastic material models, targeting near term noisy intermediate scale…
math.AP2025
Traveling wave profiles for a semi-discrete Burgers equation
Uditnarayan Kouskiya, Robert L. Pego, Amit Acharya
We look for traveling waves of the semi-discrete conservation law , using variational principles related to concepts of ``hidden convexity'' app…