2 citations · 2 across the 5 of their papers we have counts for
6 papers
Sharp numerical approximation of the Hardy constant
Liviu I. Ignat, Enrique Zuazua
We study the finite element approximation of the best constant in the classical Hardy inequality over bounded domains containing the origin in , for .…
Optimal convergence rates for the finite element approximation of the Sobolev constant
Liviu I. Ignat, Enrique Zuazua
We establish optimal convergence rates for the continuous piecewise affine finite element approximation of the Sobolev constant in arbitrary dimensions N\geq 2 and for Lebesgue exp…
Nonlinear Equilibrium Transitions in a Potential Game Model for Federated Learning
Kang Liu, Ziqi Wang, Enrique Zuazua
In federated learning (FL), a central server typically allocates training efforts to clients. However, from a market-oriented perspective, clients may independently choose their tr…
FedADMM-InSa: An Inexact and Self-Adaptive ADMM for Federated Learning
Yongcun Song, Ziqi Wang, Enrique Zuazua
Federated learning (FL) is a promising framework for learning from distributed data while maintaining privacy. The development of efficient FL algorithms encounters various challen…
Optimal control approach for moving bottom detection in one-dimensional shallow waters by surface measurements
Gino Montecinos, Rodrigo Lecaros, Juan López-Ríos +1
We consider the Boussinesq-Peregrine (BP) system as described by Lannes [Lannes, D. (2013). The water waves problem: mathematical analysis and asymptotics (Vol. 188). American Math…
Convergence rates for dispersive approximation schemes to nonlinear Schrödinger equations
Liviu Ignat, Enrique Zuazua
This article is devoted to the analysis of the convergence rates of several nu- merical approximation schemes for linear and nonlinear Schrödinger equations on the real line. Recen…