The effect of a hole on uplifting forces acting submerged horizontal thin plate are examined using the boundary element method. To deal with case, which is degenerate problem, hypersingular integral equation employed to overcome some troubles when method used. Two-dimensional problems considered, and linear gravity wave theory adopted. Several examples calculated numerical results presented sho...

The boundary element method (BEM) for linear elasticity in its curent usage is based on the boundary integral equation for displacements. The stress field in the interior of the body is computed by differentiating the displacement field at the source point in the BEM formulation, via the strain field. However, at the boundary, this method gives rise to a hypersingular integral relation which be...

It has been found recently that the multiple reciprocity method (MRM) (Chen and Wong. Engng. Anal. Boundary Elements 1997; 20(1):25–33; Chen. Processings of the Fourth World Congress on Computational Mechanics, Onate E, Idelsohn SR (eds). Argentina, 1998; 106; Chen and Wong. J. Sound Vibration 1998; 217(1): 75–95.) or real-part BEM (Liou, Chen and Chen. J. Chinese Inst. Civil Hydraulics 1999; 1...

The symmetry present in Green's functions is exploited to signi®cantly reduce the matrix assembly time for a Galerkin boundary integral analysis. A relatively simple modi®cation of the standard Galerkin implementation for computing the non-singular integrals yields a 20±30 per cent decrease in computation time. This faster Galerkin method is developed for both singular and hypersingular equatio...