论文标题

有限元方法在bakhvalov型网状网格上的收敛,用于奇异扰动的对流 - 延伸方程2D

Convergence of a finite element method on a Bakhvalov-type mesh for a singularly perturbed convection--diffusion equation in 2D

论文作者

Zhang, Jin, Liu, Xiaowei

论文摘要

任何顺序的有限元方法都应用于bakhvalov型网格上,以求解2D中奇异的对流 - 扩散方程,其溶液的解决方案表现为指数式边界层。 (几乎)最佳顺序的均匀收敛是通过精心定义的插入剂证明的。

A finite element method of any order is applied on a Bakhvalov-type mesh to solve a singularly perturbed convection--diffusion equation in 2D, whose solution exhibits exponential boundary layers. A uniform convergence of (almost) optimal order is proved by means of a carefully defined interpolant.

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