An optimal local active noise control method based on stochastic finite element models

Active noise control in a stochastic domain based on a finite element model

The optimization of active noise control based on a finite element model for acoustic field is considered. Fixed number of actuators are located on the boundary of a three-dimensional enclosed acoustic space which could be vehicle interior, for example. Actuator signals are used to minimize known harmonic noise at specified locations. Noise control system needs to be robust with respect to many...

An Adaptive Finite Element Method for Nonlinear Optimal Control Problems

Active Noise Control Based on Fuzzy Models

This paper presents a new approach to acoustic noise control, by introducing a fuzzy model-based control strategy. Classical linear identification and control tools have been applied to active noise control in the last two decades. In this type of control, the limitations of their applicability are well defined. Therefore, new techniques must be developed in order to increase the performance of...

An optimal adaptive mixed finite element method

Various applications in fluid dynamics and computational continuum mechanics motivate the development of reliable and efficient adaptive algorithms for mixed finite element methods. In order to save degrees of freedom, not all but just a selection of finite element domains are refined. Hence the fundamental question of convergence as well as the question of optimality require new mathematical a...

An Optimal Adaptive Finite Element Method

Preprint No. 1271, Dept. of Math., Univ. of Utrecht, Submitted to SIAM J. Numer. Anal., March 2003 Although existing adaptive finite element methods for solving second order elliptic equations often perform better in practical computations than non-adaptive ones, usually they are even not proven to converge. Only recently in the works of Dörfler ([Dör96]) and that of Morin, Nochetto and Siebert...