R-B方程样条有限元法  

Finite element method of spline for R-B equation

作　　者：乃明[1] 胡兵[1] 闵心畅[1] 

机构地区：[1]四川大学数学学院,成都610064

出　　处：《四川大学学报（自然科学版）》2012年第5期943-948,共6页Journal of Sichuan University(Natural Science Edition)

摘　　要：作者对R-B方程提出了基于三次样条插值的有限元法,给出了具体的计算格式,证明了该离散格式解的存在唯一性和稳定性,并给出了收敛性分析.A finite element method is given based on cubic spline interpolation for R-B equation, and the numerical scheme is derived. Further more, the corresponding existence and uniqueness of the solution of this scheme are proved. Meanwhile, the convergence analysis is presented.

关 键 词：R—B方程 三次样条插值 收敛性分析 

分 类 号：O242.21[理学—计算数学]