A Discontinuous Finite Volume Element Method Based on Bilinear Trial Functions

被引：1
|
作者：
Zhang, Tie [1 ]
Tang, Lixin [2 ]
机构：
[1] Northeastern Univ, Dept Math, Res Ctr Natl Met Automat, Shenyang 110004, Peoples R China
[2] Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Res Ctr Natl Met Automat, Shenyang 110004, Peoples R China
来源：
INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS | 2017年 / 14卷 / 03期
关键词：
Discontinuous finite volume element; bilinear trial function; optimal error estimate; elliptic and parabolic problems; UNIFIED ANALYSIS; CONVERGENCE; SCHEMES;
D O I：
10.1142/S0219876217500256
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We propose a discontinuous finite volume element (DFVE) method for second order elliptic and parabolic problems. Discontinuous bilinear functions are used as the trial functions. We give the stability analysis of this DFVE method and derive the optimal error estimates in the broken H-1- norm. Specifically, the optimal L-2- error is obtained for the first time for the bilinear DFVE methods solving elliptic and parabolic problems.
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页数：21
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