In this paper, a symmetric collocation boundary element method (SCBEM)/finite element method (FEM) coupling procedure is given and applied to a two-dimensional elastodynamic problem. The use of symmetry for the boundary element method not only saves memory storage but also enables the employment of efficient symmetric equation solvers. This is especially important for BEM/FEM coupling procedure. Compared with the symmetric Galerkin boundary element method (SGBEM) where double-space integration should be carried out, SCBEM is easier and faster.

1.
Sirtori
,
S.
,
1979
, “
General Stress Analysis Method by Means of Integral Equations and Boundary Elements
,”
Meccanica
,
14
, pp.
210
218
.
2.
Maier, G., Novati, G., and Sirtori, S., 1990, On Symmetrization in Boundary Element Elastic-Plastic Analysis: Discretization Methods in Structural Mechanics, eds. G. Kuhn and H. Mang, Springer-Verlag, Berlin, pp. 191–200.
3.
Bonnet
,
M.
,
Maier
,
G.
, and
Polizzotto
,
C.
,
1998
, “
Symmetric Galerkin Boundary Element Methods
,”
Appl. Mech. Rev.
,
51
(
11
), pp.
669
704
.
4.
Carini
,
A.
,
Diligent
,
M.
,
Maranesi
,
P.
, and
Zanella
,
M.
,
1999
, “
Analytical Integrations for Two-Dimensional Elastic Analysis by the Symmetric Galerkin Boundary Element Method
,”
Computational Mech., Berlin
,
23
, pp.
308
323
.
5.
Tanaka
,
M.
,
Sladek
,
V.
, and
Sladek
,
J.
,
1994
, “
Regularization Techniques Applied to Boundary Element Methods
,”
Appl. Mech. Rev.
,
47
(
10
), pp.
457
499
.
6.
Gray
,
L. J.
, and
Martha
,
L. F.
,
1990
, “
Ingraffea AR. Hypersingular Integrals in Boundary Element Fracture Analysis
,”
Int. J. Numer. Methods Eng.
,
29
, pp.
1135
1158
.
7.
Guiggiani
,
M.
,
1994
, “
Hypersingular Formulation for Boundary Stress Evaluation
,”
Eng. Anal. Boundary Elem.
,
13
, pp.
169
179
.
8.
Gallego
,
R.
, and
Dominguez
,
J.
,
1996
, “
Hypersingular BEM for Transient Elastodynamics
,”
Int. J. Numer. Methods Eng.
,
39
, pp.
1681
1705
.
9.
Mansur, W. J., 1983, “A Time-Stepping Technique to Solve Wave Propagation Problems Using the Boundary Element Method,” Ph.D. thesis, University of Southampton, Southampton, UK.
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