An efficient BE iterative-solver-based substructuring algorithm for 3D time-harmonic problems in elastodynamics

This work is concerned with the development of an efficient and general alg orithm to solve frequency-domain problems modelled by the boundary element method based on a sub-region technique. A specific feature of the algorithm discussed here is that the global sparse matrix of the coupled system is i mplicitly considered, i.e. problem quantities are not condensed into interf ace variables. The proposed algorithm requires that only the block matrices with non-zero complex-valued coefficients be stored and manipulated during the analysis process. In addition, the efficiency of the technique present ed is improved by using iterative solvers. The good performance of pre-cond itioned iterative solvers for systems of equations having real-valued coeff icients, well demonstrated in the literature, is confirmed for the present case where the system matrix coefficients are complex. The efficiency of th e algorithm described here is verified by analysing a soil-machine foundati on interaction problem. CPU time and accuracy are the parameters used for e stimating the computational efficiency. (C) 2001 Elsevier Science Ltd. All rights reserved.