From the 1 of 4 linked papers with an AI index.
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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…
Point collocation with mollified piecewise polynomial approximants for high-order partial differential equations
Dewangga Alfarisy, Lavi Zuhal, Michael Ortiz +2
The solution approximation for partial differential equations (PDEs) can be substantially improved using smooth basis functions. The recently introduced mollified basis functions a…