Numerical stabilization method by switching time-delay

TL;DR

This paper introduces a novel numerical stabilization method for evolution systems using switching time-delay, validated through 1D numerical experiments that confirm its effectiveness and theoretical predictions.

Contribution

It presents a new numerical stabilization approach based on switching time-delay, extending previous theoretical work with practical 1D implementation and validation.

Findings

Numerical experiments confirm stabilization effectiveness.

Method successfully extends theoretical results.

Implementation in 1D demonstrates practical applicability.

Abstract

In this paper, we propose a new numerical strategy for the stabilization of evolution systems. The method is based on the methodology given by Ammari, Nicaise andPignotti in ''Stabilization by switching time-delay, Asymptot. Anal., 83 (2013), 263--283''. This method is then implemented in 1D by suitable numerical approximation techniques. Numerical experiments complete this study to confirm the theoretical announced results.