Remarks on a posteriori error estimation for finite element solutions

被引：12

作者：

Kikuchi, Fumio ^{[1
]}

Saito, Hironobu

机构：

[1] Univ Tokyo, Grad Sch Math Sci, Tokyo, Japan

[2] COMPS Informat Technol Inst, Tokyo, Japan

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2007年 / 199卷 / 02期

关键词：

hypercircle method; error bound; P-l triangular element; Raviait-Thomas triangular element;

D O I：

10.1016/j.cam.2005.07.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We utilize the classical hypercircle method and the lowest-order Raviart-Thomas H(div) element to obtain a posteriori error estimates of the PI finite element solutions for 2D Poisson's equation. A few other estimation methods are also discussed for comparison. We give some theoretical and numerical results to see the effectiveness of the methods. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：329 / 336

页数：8

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