An a posteriori error estimator for a LPS method for Navier-Stokes equations

被引：3

作者：

Araya, Rodolfo ^{[1
,2
]}

Rebolledo, Ramiro ^{[1
]}

机构：

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

[2] Univ Concepcion, CI2MA, Casilla 160-C, Concepcion, Chile

来源：

APPLIED NUMERICAL MATHEMATICS | 2018年 / 127卷

关键词：

Navier-Stokes equation; Stabilized finite element scheme; A posteriori error estimates; FINITE-ELEMENT METHODS; STABILIZATION; FLOW;

D O I：

10.1016/j.apnum.2017.12.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we develop an a posteriori error estimator, of the hierarchical type, for the Local Projection Stabilized (LPS) finite element method introduced in [5], applied to the incompressible Navier-Stokes equations. The technique uses the solution of locals problems posed on appropriate finite dimensional spaces of bubble-like functions, to approach the error. Several numerical tests confirm the theoretical properties of the estimator and its performance. (C) 2018 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：179 / 195

页数：17

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