标题： 对流占优问题的补丁泡 显示英文标题

标题： Patch bubbles for advection-dominated problems

摘要： 一种适用于对流占优问题的\emph{无剩余泡}方法（RFB）的新变体被提出。 由于通常的 RFB 仍然存在振荡和强烈的过冲/欠冲，通过增加\emph{补丁气泡}来丰富泡空间，使泡空间具有更多的自由度。 我们采用递归且高效的方法来准确计算泡函数。 数值实验清楚地表明了我们的方法相比标准 RFB 的优越性。 该方法类似于 Cangiani 和 Süli 在 2005 年提出的\emph{增强的无剩余泡}方法（eRFB），但在额外泡函数的定义上有所不同。 显示英文摘要

摘要： A novel variant of the \emph{residual-free bubble} method (RFB) for advection dominated problems is presented. Since the usual RFB still suffers from oscillations and strong under/overshoots, the bubble space is enriched by \emph{patch bubbles}, giving more freedom to the bubble space. We use a recursive and efficient approach to accurately compute the bubbles. Numerical experiments clearly demonstrate the superiority of our method compared to the standard RFB. The method is similar to the \emph{enhanced residual-free bubble} method (eRFB) proposed by Cangiani and S\"uli in 2005, but differs in the definition of the additional bubbles.