含 Neumann 边界条件的局部间断有限元方法的收敛性分析

摘要

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 .%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 。