From the 1 of 11 linked papers with an AI index.
11 papers
QAFE: Quantum accelerated multiscale finite element analysis
Yiren Wang, Michael Ortiz, Fehmi Cirak
The paper proposes a quantum‑classical framework (QAFE²) that uses quantum parallelism to solve many microscopic finite element problems simultaneously, achieving polylogarithmic s…
A Quantum Spectral Solver for Periodic Incompressible Stokes Flow
Juan M. Gimenez, Fehmi Cirak, Michael Ortiz
We present a quantum spectral solver for the steady incompressible Stokes equations on a two-dimensional periodic domain. The method uses the Quantum Fourier Transform as a coheren…
A Quantum Spectral Method for Non-Periodic Boundary Value Problems
Eky Febrianto, Yiren Wang, Burigede Liu +2
Quantum computing holds the promise of solving computational mechanics problems in polylogarithmic time, meaning computational time scales as , where i…
Statistical finite elements for sequential data synthesis in solid dynamics
Igor Kavrakov, Yaswanth Sai Jetti, Ahmet Oguzhan Yuksel +1
We present an approach for synthesising observational data with elastodynamic finite element models by extending the statistical finite element method (statFEM) framework. The prop…
Neural parametric representations for thin-shell shape optimisation
Xiao Xiao, Fehmi Cirak
Shape optimisation of thin-shell structures requires a flexible, differentiable geometric representation suitable for gradient-based optimisation. We propose a neural parametric re…
Unsupervised Constitutive Model Discovery from Sparse and Noisy Data
Vahab Knauf Narouie, Jorge-Humberto Urrea-Quintero, Fehmi Cirak +1
Recently, unsupervised constitutive model discovery has gained attention through frameworks based on the Virtual Fields Method (VFM), most prominently the EUCLID approach. However,…