A hybrid quantum-classical variational method using polynomial approximations to the energy functional enables finite element analysis of a 1D Neo-Hookean hyperelastic model on near-term quantum hardware.
Variational quantum algorithm based on the minimum potential energy for solving the Poisson equation
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PDEs are solved by formulating discretized systems as generalized eigenvalue problems and using annealing to optimize the generalized Rayleigh quotient iteratively for eigenvectors.
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A Variational Quantum Algorithm for Nonlinear Finite Element Analysis of Hyperelastic Materials
A hybrid quantum-classical variational method using polynomial approximations to the energy functional enables finite element analysis of a 1D Neo-Hookean hyperelastic model on near-term quantum hardware.