【摘要】 本文对移动网格方法中控制函数的磨光处理进行了探讨,主要讨论了一维和二维情形中控制函数磨光的方法和次数对数值解的影响。采用合适的磨光处理方法与适当的磨光次数,力争使得网格点集中到解变化剧烈的区域,但又不过分集中,保证其它区域也能分布到一定数量的网格点,从而能够提高数值解的精度。更多还原

【Abstract】 This paper discusses some techniques for smoothing monitor function in moving mesh methods.We mainly argue how the methods and numbers of smoothing monitor function influence the accuracy of numerical solution in one and two dimension.The accuracy can be improved when we apply appropriate methods and numbers of smoothing to make grid points focus to where the solution changes drastically and ensure that other regions can be distributed to a certain number of grid points.更多还原