求解Robin边值下Poisson问题的修正弱有限元方法

A Modified Weak Galerkin Finite Element Method for Poisson Equation with Robin Boundary Conditions

基于Robin边值条件下的Poisson方程,运用修正弱有限元方法,通过建立u的弱函数空间、相应的数值格式以及误差方程,进而分析了其u h与u之间的H 1误差和L 2误差,都达到了最优阶.

The modified weak Galerkin finite element method is used to solve Poisson equation with the Robin boundary conditions.Corresponding numerical scheme and error equation are established in the weak function space of u.we obtained the Optimal order error estimates of u h and u in H 1 and L 2 norm.