论文标题
SUPG稳定的虚拟元素，用于扩散交流问题：稳健性分析
SUPG-stabilized Virtual Elements for diffusion-convection problems: a robustness analysis
论文作者
论文摘要
这一贡献的目的是为扩散转化问题中的SUPG稳定的虚拟元素方法进行收敛分析，在对流统治方面也很健壮。对于[Benedetto等人，CMAME 2016]中引入的原始方法，我们能够显示一个“几乎均匀”的误差（从某种意义上说，以不利的方式依赖参数的唯一项会受到高阶网格大小的多重因子的抑制作用）。我们还引入了对流项的新型离散化，这使我们能够开发出以对流为主的情况完全鲁棒的错误估计。我们终于提出了一些数值结果。
The objective of this contribution is to develop a convergence analysis for SUPG-stabilized Virtual Element Methods in diffusion-convection problems that is robust also in the convection dominated regime. For the original method introduced in [Benedetto et al, CMAME 2016] we are able to show an "almost uniform" error bound (in the sense that the unique term that depends in an unfavorable way on the parameters is damped by a higher order mesh-size multiplicative factor). We also introduce a novel discretization of the convection term that allows us to develop error estimates that are fully robust in the convection dominated cases. We finally present some numerical result.
