title: A meshless method for unbounded acoustic problems.
abstract: In this paper an effective meshless method is proposed to solve time-harmonic acoustic problems defined on unbounded domains. To this end, the near field is discretized by a set of nodes and the far field effect is taken into account by considering radiative boundary conditions. The approximation within the near field is performed using a set of local residual-free basis functions defined on a series of finite clouds. For considering the far field effect, a series of infinite clouds are defined on which another set of residual-free bases, satisfying the radiation conditions, are considered for the approximation. Validation of the results is performed through solving some acoustic problems.
authors.affiliation: Department of Industrial Engineering, University of Padua, Via Venezia 1, 35131 Padova, PD, Italy.
authors.forename: Arman
authors.initials: A
authors.lastname: Shojaei
authors.affiliation: Department of Civil Engineering, Isfahan University of Technology, Isfahan 84156-83111, Iran.
authors.forename: Bijan
authors.initials: B
authors.lastname: Boroomand
authors.affiliation: Department of Civil Engineering, Isfahan University of Technology, Isfahan 84156-83111, Iran.
authors.forename: Ehsan
authors.initials: E
authors.lastname: Soleimanifar