漂移网格上增量未知元方法求解椭圆型偏微分方程

Incremental Unknowns Methods on Floated Grid for Solving Linear Elliptic PDEs

通过对椭圆型偏微分方程的二维二阶Dirichlet边值问题的数值研究,说明漂移网格比古典离散网格简单,漂移网格上定义的增量未知元方法对于线性问题的数值计算都具有线性稳定性.而且此方法的矩阵结构更简单.

Through numerical experiments of two-dimensional second-order Dirichlet boundary-value of linear elliptic PDEs, the discretization of the article is more simply than the classical grid. The incremental unknowns is linear stationary of linear problem, as well as the matricidal framework of article is more simply.