【摘要】 针对对流占优的扩散对流反应方程,首先得到关于真解的一些新的高阶正则性估计.然后,考虑此方程在分层网格剖分上的双二次有限元逼近,在ε-加权H1-模意义下得到了至多相差一个关于摄动参数对数因子的拟最优阶收敛的误差估计.更多还原

【Abstract】 For a convection-dominated diffusion-convection-reaction equation,some new higher order regular estimates about its true solution are derived firstly.Its biquadratic finite element approximation is considered and under the appropriately graded meshes,quasi-optimal order error estimates in the ε-weighted H1-norm,up to a logarithmic factor in the singular perturbation parameter,are proved.更多还原