论文标题
稳定器的稳定WG方法，用于stokes方程，并在多层网上订购两个超级冠军
A stabilizer free WG Method for the Stokes Equations with order two superconvergence on polytopal mesh
论文作者
论文摘要
引入了一种无稳定器WG方法，用于在一级速度压力公式中具有超级对多面网格的STOKES方程。在能量规范和$ l^2 $ norm中证明了收敛率高于WG近似速度的最佳订购率。还建立了$ l^2 $规范中压力的最佳订单误差估计。数值示例涵盖了低和高阶近似值以及2D和3D案例。
A stabilizer free WG method is introduced for the Stokes equations with superconvergence on polytopal mesh in primary velocity-pressure formulation. Convergence rates two order higher than the optimal-order for velocity of the WG approximation is proved in both an energy norm and the $L^2$ norm. Optimal order error estimate for pressure in the $L^2$ norm is also established. The numerical examples cover low and high order approximations, and 2D and 3D cases.
