A note on a priori error estimates for augmented mixed methods

被引：0

作者：

Barrios, Tomas P. ^{[1
]}

Behrens, Edwin ^{[2
]}

Bustinza, Rommel ^{[3
,4
]}

机构：

[1] Univ Catolica Santisima Concepcion, Dept Matemat & Fis Aplicadas, Casilla 297, Concepcion, Chile

[2] Univ Catolica Santisima Concepcion, Dept Ingn Civil, Casilla 297, Concepcion, Chile

[3] Univ Concepcion, MA CI2, Casilla 160-C, Concepcion, Chile

[4] Univ Concepcion, Dept Ingn Matemat, Casilla 160-C, Concepcion, Chile

来源：

APPLIED MATHEMATICS LETTERS | 2016年 / 57卷

关键词：

A priori error bound; Mixed and augmented mixed methods;

D O I：

10.1016/j.aml.2016.01.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note we describe a strategy that improves the a priori error bounds for augmented mixed methods under appropriate hypotheses. This means that we can derive a priori error estimates for each one of the involved unknowns. Usually, the standard a priori error estimate is for the total error. Finally, a numerical example is included, that illustrates the theoretical results proven in this paper. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：139 / 144

页数：6

共 6 条

[1]

[Anonymous], 2002, FINITE ELEMENT METHO

[2] An augmented mixed finite element method with Lagrange multipliers: A priori and a posteriori error analyses [J].

Barrios, Tomas P. ;

Gatica, Gabriel N. .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 200 (02) :653-676

[3] A note on least-squares mixed finite elements in relation to standard and mixed finite elements [J].

Brandts, Jan ;

Chen, Yanping ;

Yang, Julie .

IMA JOURNAL OF NUMERICAL ANALYSIS, 2006, 26 (04) :779-789

[4]

Brezzi F., 1991, Mixed and Hybrid Finite Element Methods, V15

[5]

Girault V., 2012, Finite Element Methods for NavierStokes Equations: Theory and Algorithms

[6]

ROBERTS JE, 1991, HDB NUMERICAL ANAL 1, V2

← 1 →