A globally uniformly convergent finite element method for a singularly perturbed elliptic problem in two dimensions
A globally uniformly convergent finite element method for a singularly perturbed elliptic problem in two dimensions
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DOI：
10.1090/s0025-5718-1991-1079029-1
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发表时间：
1991-09
影响因子：
2
通讯作者：
E. O'Riordan;M. Stynes
中科院分区：
文献类型：
--
作者：
E. O'Riordan;M. Stynes
本文分析了一种新的Galerkin有限元方法，用于数值求解二维线性对流主导的对流扩散问题。在比L2范数强的全局能量范数下，该方法在h /2阶的扰动参数下均匀收敛。这个顺序在我们选择试验函数的范数中是最优的。
We analyze a new Galerkin finite element method for numerically solving a linear convection-dominated convection-diffusion problem in two dimensions. The method is shown to be convergent, uniformly in the perturbation parameter, of order h1/2 in a global energy norm which is stronger than the L2 norm. This order is optimal in this norm for our choice of trial functions.