An Lp-DPG method for the convection-diffusion problem

被引：8
|
作者：
Li, Jiaqi [1 ]
Demkowicz, Leszek [1 ]
机构：
[1] Univ Texas Austin, Oden Inst Computat Engn & Sci, 201 E 24th St, Austin, TX 78712 USA
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2021年 / 95卷
关键词：
Discontinuous Petrov-Galerkin methods; Residual minimization; Banach spaces; Convection-dominated diffusion; SPACES;
D O I：
10.1016/j.camwa.2020.08.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Following Muga and van der Zee (Muga and van der Zee, 2015), we generalize the standard Discontinuous Petrov-Galerkin (DPG) method, based on Hilbert spaces, to Banach spaces. Numerical experiments using model 1D convection-dominated diffusion problem are performed and compared with Hilbert setting. It is shown that Banachbased method gives solutions less susceptible to Gibbs phenomenon. h-adaptivity is implemented with the help of the error representation function as error indicator. Published by Elsevier Ltd.
引用
收藏
页码：172 / 185
页数：14
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