On parallel computing for the general boundary element method

Liao [2-5] proposed a so-called general boundary element method, which is valid for nearly all nonlinear differential equations, especially those with strong nonlinearity. However, it is well known that, domain integral appears when the BEM is employed to solve a nonlinear problem, which considerably increases the CPU time. In this paper, we propose a parallel general boundary element method. To show its validity, our approach is applied to the viscous flow in a driven square cavity, and we obtain the convergent numerical results even at quite high Reynolds number R-e = 7500.