Data completion for the Stokes system

被引：6

作者：

Ben Abda, Amel ^{[1
]}

Ben Saad, Imen ^{[1
]}

Hassine, Maatoug ^{[1
]}

机构：

[1] Univ Tunis El Manar, Ecole Natl Ingenieurs Tunis, LAMSIN, Tunis 1002, Tunisia

来源：

COMPTES RENDUS MECANIQUE | 2009年 / 337卷 / 9-10期

关键词：

Computational fluid mechanics; Cauchy-Stokes problem; Data completion; Inverse problem; Steklov-Poincare operator;

D O I：

10.1016/j.crme.2009.09.007

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

This Note is concerned with the severely ill-posed Cauchy-Stokes problem. This inverse problem is rephrased into an optimization one: An energy-like error functional is introduced. We prove that the optimality condition of the first order is equivalent to solving an interfacial equation which turns out to be a Cauchy-Steklov-Poincare operator. Numerical trials highlight the efficiency of the present method. To cite this article: A. Ben Abda et al., C. R. Mecanique 337 (2009). (C) 2009 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：703 / 708

页数：6

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