基于导数误差的移动网格方法(英文)

Moving Mesh Method for Minimizing Derivative Error

该文首先在理论上利用线性插值构造基于导数误差的最优插值网格,然后通过后验误差估计设计了基于导数的有限元移动网格迭代算法来求解微分方程.数值实验说明了该文提出的算法是有效的.

Construction of optimal meshes for controlling the errors in derivative estimation for piecewise linear interpolation of data function is discussed. By the optimal mesh, the grids are iteratively adapted to better approximation the solution. Numerical experiments show that a finite element scheme based on this properly adapted mesh works in a efficient manner.