1 citations · 1 across the 5 of their papers we have counts for
5 papers
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…
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. The approach leverages the potential energy…
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…
Inviscid Burgers as a degenerate elliptic problem
Uditnarayan Kouskiya, Amit Acharya
We demonstrate the feasibility of a scheme to obtain approximate weak solutions to the (inviscid) Burgers equation in conservation and Hamilton-Jacobi form, treated as degenerate e…
Hidden convexity in the heat, linear transport, and Euler's rigid body equations: A computational approach
Uditnarayan Kouskiya, Amit Acharya
A finite element based computational scheme is developed and employed to assess a duality based variational approach to the solution of the linear heat and transport PDE in one spa…