摘要
对于定义于非均匀、各向同性介质中的扩散方程,在逻辑矩形网上建立了一种求解的有限差分法.这种算法不仅适用于凸网格,而且适用于凹网格或是自交网格,它在系数光滑时和其他算法有一定的可比性,但在非光滑甚至是扭曲网格上却优于其他算法.
A finite-difference algorithm for the numerical solution of diffusion problems in strongly heterogeneous and nonisotropic media is constructed for logically rectangular grids.The performance of this algorithm is comparable to other algorithms for problems with smooth coefficients and regular grids,and it is superior for problems with rough coefficients and/or skewed grids.
关键词
支撑算子
截断误差
修正算法
support-operators method
truncation error
correction algorithm