【摘要】 研究一类凹角区域双曲型外问题的数值方法.先用Newmark方法对时间进行离散化,在每个时间步求解一个椭圆外问题.然后引入人工边界,并获得精确的人工边界条件.给出半离散化问题的变分问题,证明了变分问题的适定性,并给出了误差估计.最后给出数值例子,以示该方法的可行性与有效性.更多还原

【Abstract】 The numerical method for the exterior hyperbolic problems with a concave angle domain is investigated.The governing equation is first discreted in time by Newmark method,leading to a time-stepping scheme,where an exterior elliptic problem has to be solved in each time step.Then an artificial boundary is introduced,an exact artificial boundary condition is obtained.The variational problem of semi-discrete problem is given,the well-posedness of the variational problem is proved,and some error estimates are presented.Finally,some numerical examples are presented to demonstrate the performance of the method.更多还原