28 citations · 31 across the 5 of their papers we have counts for
5 papers
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…
QAFE: Quantum accelerated multiscale finite element analysis
Yiren Wang, Michael Ortiz, Fehmi Cirak
The computational cost of concurrent multiscale finite element methods is dominated by the repeated solution of microscopic representative volume element (RVE) problems at macrosco…
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…
Towards Quantum Computational Mechanics
Burigede Liu, Michael Ortiz, Fehmi Cirak
The advent of quantum computers, operating on entirely different physical principles and abstractions from those of classical digital computers, sets forth a new computing paradigm…