Exponential stability and numerical treatment for piezoelectric beams with magnetic effect-Reference-Cited by-同舟云学术

Exponential stability and numerical treatment for piezoelectric beams with magnetic effect

Published:2018-01 Issue:1 Volume:52 Page:255-274
ISSN:0764-583X
Container-title:ESAIM: Mathematical Modelling and Numerical Analysis
language:
Short-container-title:ESAIM: M2AN

Author:

Ramos Anderson J.A.,Gonçalves Cledson S.L.,Corrêa Neto Silvério S.

Abstract

In this paper, we consider a one-dimensional dissipative system of piezoelectric beams with magnetic effect, inspired by the model studied by Morris and Özer (Proc. of 52nd IEEE Conference on Decision & Control (2013) 3014–3019). Our main interest is to analyze the issues relating to exponential stability of the total energy of the continuous problem and reproduce a numerical counterpart in a totally discrete domain, which preserves the important decay property of the numerical energy.

Publisher

EDP Sciences

Subject

Applied Mathematics,Modelling and Simulation,Numerical Analysis,Analysis,Computational Mathematics

Link

https://www.esaim-m2an.org/10.1051/m2an/2018004/pdf

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