4 papers
Certification of PGD reduced-order models with separated spatial variables
Jean Ruel, Ludovic Chamoin, Frédéric Legoll +1
Model order reduction techniques have become an attractive approach for obtaining fast approximations of multidimensional problems. Besides computational efficiency, ensuring the r…
Three short tales on the parity operator
Robert Fulsche
In this paper, we discuss three short topics related to the parity operator and his role in quantum harmonic analysis. We derive results for the Fredholm index of even and odd oper…
Quantum remeshing and efficient encoding for fracture mechanics
Ulysse Remond, Pierre-Emmanuel Emeriau, Liam Lysaght +3
We present a variational quantum algorithm for structural mechanical problems, specifically addressing crack opening simulations that traditionally require extensive computational…
Maximum principle preserving time implicit DGSEM for linear scalar hyperbolic conservation laws
Riccardo Milani, Florent Renac, Jean Ruel
We investigate the properties of the high-order discontinuous Galerkin spectral element method (DGSEM) with implicit backward-Euler time stepping for the approximation of hyperboli…