一类含Robin边界条件对流扩散方程的LDG方法的收敛性

摘要

针对一维常系数对流扩散模型方程,利用有限元基本理论分析,讨论了当含有Robin边界条件时,局部间断有限元方法(LDG方法)的收敛性.证明了当边界条件为Robin边界条件时,LDG方法的误差能量模收敛阶仍可达到k阶.%A local discontinuous Galerkin finite element method (LDG mehod) was presented for one-dimensional convection diffusion equations with Robin boundary conditions of constant coefficients.It is proved that the LDG method was convergence in the energy norm of the error at a rate of hk for convection diffusion equations with Robin boundary conditions of constant coefficients.