Summary: A hybrid meshless local Petrov≠Galerkin method
for unbounded domains
Andrew J. Deeks a
, Charles E. Augarde b,*
School of Civil & Resource Engineering, The University of Western Australia, Crawley, Western Australia 6009, Australia
School of Engineering, University of Durham, South Road, Durham, DH1 3LE, UK
Received 17 June 2005; received in revised form 19 April 2006; accepted 29 June 2006
Meshless methods have gained popularity in recent years. However, like the finite element method, they do not handle unbounded
domains well. Coupling with other techniques more suited to performing this task is problematic, since nodal values on the boundary
are fictitious rather than actual. The scaled boundary finite element method is a semi-analytical approach to computational mechanics
ideally suited to modelling unbounded domains. Recently a meshless version of the scaled boundary method based on the local Petrov≠
Galerkin approach has been developed. This paper couples the meshless scaled boundary method, used to model the far field, with
conventional meshless local Petrov≠Galerkin modelling of the near field. The coupling method is general, and could be applied to other
techniques of modelling the far field, such as the infinite element method.
” 2006 Elsevier B.V. All rights reserved.
Keywords: Meshless methods; Element free methods; Scaled boundary finite element method; Unbounded domains