ISSN:
1070-5325
Keywords:
hybrid BE-FE analyses
;
iterative solvers
;
vector computer
;
Engineering
;
Numerical Methods and Modeling
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mathematics
Notes:
Simulations of excavations of tunnels can be performed by means of a coupling strategy using the boundary-element-method (BEM) and the finite-element-method (FEM). The BEM is employed for the discretization of the far-field of the tunnel, whereas the FEM is used for the interior of the tunnel and its vicinity. This strategy is based on the assumption that the influence of material non-linearities in the far-field can be neglected. The coefficient matrices of the resulting systems of linear, algebraic equations consist of a symmetric, banded, sparse part resulting from the FE subdomain and an unsymmetric, fully populated part obtained from the BE subdomain. Substantial reductions of the CPU time and the disk space required for the solution of the systems of linear, algebraic equations can be achieved by employing iterative solvers with preconditioning and using the computer hardware intelligently. In this paper, two strategies based on such solvers are proposed and explained in detail. The convergence behaviour of the implemented iterative solvers with regards to pure BE calculations is studied by means os solving selected numerical examples. The advantages of the two proposed methods relative to the original, direct solution strategy are demonstrated on the basis of coupled simulations. Additionally, some comments concerning the use of iterative solvers on a vector computer are given. © 1997 John Wiley & Sons, Ltd.
Additional Material:
13 Ill.
Type of Medium:
Electronic Resource
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