Abstract
The Boundary element method (BEM) implemented by the Green's integral equation is used to solve wave field governed by the Laplace or Helmholts equation. When the boundary is divided into small segments and the integral on each segment is performed by a numerical method, the boundary integral equation is approximated by a liner algebraic equation. Locating the singular point on each segment, a simultaneous equation is obtained and can be solved by use of standard matrix method. Usually a simple trapezoidal rule is used on the numerical integration on the segments, and it has suitable accuracy at least in the linear analysis. But when the method is extended to nonlinear analysis, much higher accuracy is needed in the integral of multiplication of the linear potential and its derivatives in the forcing terms of surface condition.In the present paper, we investigate the accuracy of boundary integral with the Legendre-Gauss quadrature.
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