【摘要】 把平面定常Stokes方程的边值问题转化为边界积分方程后,通过与边界积分方程等价的变分形式,采用线性单元,利用Galerkin边界元方法求解.在计算单元刚度矩阵时,对二重积分的第一重使用精确积分,第二重使用数值积分,详细推导了第一重积分的解析公式.数值算例验证了Galerkin方法误差的理论结:E(u)=0(h2)更多还原

【Abstract】 The boundary problem of plane stationary Stokes equation is changed into the variation equation which is(equivalent) to the boundary integral equations.With linear boundary elements,it is solved by Galerkin boundary element method.In computation of stiffness matrix,the exactly integral formula is used in the first integral expression.The(numerical) integral formula is used in the second integral expression.The authors deduce the analytical formula of the first integral in detail.The numerical experiments also prove this method is reliable and quickly.The error of Galerkin boundary method is tested with numerical experimentation.更多还原