3 papers
math.NA2026
Quantum Domain Decomposition for Preconditioning the Finite Element Method
Elise Fressart, Michel Nowak, Nicole Spillane
Even in cases where quantum linear solvers provide significant speedup compared to their classical counterparts, their performance depends on some of the same parameters. In partic…
quant-ph2025
Adaptive mesh refinement quantum algorithm for Maxwell's equations
Elise Fressart, Michel Nowak, Nicole Spillane
Algorithms that promise to leverage resources of quantum computers efficiently to accelerate the finite element method have emerged. However, the finite element method is usually i…
math.NA2023
Wave propagation in high-contrast media: periodic and beyond
Élise Fressart, Barbara Verfürth
This work is concerned with the classical wave equation with a high-contrast coefficient in the spatial derivative operator. We first treat the periodic case, where we derive a new…