Three-dimensional infinite elements utilizing basis functions with compact support
In this paper, improvements are made in the numerical conditioning of three-dimensional infinite element stiffness matrices by replacing the characteristic (eigenfunction) basis functions which have global support with basis functions which have local support and appropriate preconditioning. The conditioning and convergence properties of these new infinite elements are presented in solving three-dimensional exterior problems for the Helmholtz equation. (C) 2002 Elsevier Science Ltd. All rights reserved.
infinite elements helmholtz equation unbounded domain problems ill-conditioning