含Neumann边界条件的局部间断有限元方法的收敛性分析被引量：1

The convergence of LDG method with Neumann boundary condition

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摘要针对一维常系数对流扩散模型方程,讨论了当含有Neumann边界条件时,局部间断有限元(LDG)方法的收敛性.证明了当边界条件为Neumann边界条件时,LDG方法为收敛的,且收敛阶可达到hk. The convergence of the local discontinuous Galerkin finite element method for convection-diffusion prob- lems with Neumann boundary condition is discussed. The LDG method with Neumann boundary condition is proved to be convergence in the energy norm of the error at a rate of hk.

作者郑亚敏

机构地区榆林学院数学系

出处《江苏师范大学学报（自然科学版）》 CAS 2013年第3期4-7,共4页 Journal of Jiangsu Normal University：Natural Science Edition

基金榆林学院高层次人才科研启动基金资助项目(09GK12)

关键词局部间断有限元(LDG)方法 NEUMANN边界条件收敛性 local discontinuous Galerkin finite element （LDG） method Neumann boundary condition convergence

分类号 O172 [理学—基础数学]

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