非光滑Dirichlet问题的集中质量有限元L^2误差估计(英文)  

An L^2 error estimate of lumped mass finite element method for nonsmooth dirichlet problems

作　　者：禹海雄[1] 张俊[1] 

机构地区：[1]南昌工程学院理学院,江西南昌330099

出　　处：《南昌工程学院学报》2014年第1期7-12,共6页Journal of Nanchang Institute of Technology

基　　金：Supported by Youth Foundation of Nanchang Institute of Technology(No.2012KJ025)~~

摘　　要：引进集中质量有限元方法用于离散非光滑椭圆方程,并证明了该方法下的L2有限元误差估计和标准有限元误差估计具有相同的收敛阶.最后,通过数值算例验证.Based on a lumped mass finite element method, this paper aims to approximate Dirichlet problems for nonsmooth el- liptic equations. It is proved that the L2 error estimate of such method is the same as the standard FEM. The theory is further supported by some numerical experiments.

关 键 词：非光滑方程 集中质量 有限元离散 误差估计 

分 类 号：O241[理学—计算数学]