On stabilized mixed methods for generalized Stokes problem based on the velocity-pseudostress formulation: A priori error estimates

Tomas P. Barrios; Rommel Bustinza; Galina C. GarciaErwin Hernandez

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On stabilized mixed methods for generalized Stokes problem based on the velocity-pseudostress formulation: A priori error estimates

机译：On stabilized mixed methods for generalized Stokes problem based on the velocity-pseudostress formulation: A priori error estimates

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In this paper we present an augmented mixed formulation applied to generalized Stokes problem and uses it as state equation in an optimal control problem. The augmented scheme is obtained adding suitable least squares terms to the corresponding velocity-pseudostress formulation of the generalized Stokes problem. To ensure the existence and uniqueness of solution, at continuous and discrete levels, we prove coerciveness of the corresponding augmented bilinear form, and using approximation properties of the respective discrete subspaces, we deduce the optimal rate of convergence. As by product, and considering the associated optimal control problem, we derive error estimates for the approximated control unknown. Finally, we present several numerical examples confirming the theoretical properties of this approach.

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来源
《Computer Methods in Applied Mechanics and Engineering》 |2012年第1期|78-87|共10页
作者
Tomas P. Barrios; Rommel Bustinza; Galina C. GarciaErwin Hernandez;
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作者单位

AM2V and Departamento de Matematica, Universidad Tecnica Federico Santa Maria, Casilla T1O-V, Valparaiso, Chile;

CI~2MA and Departamento de Ingenieria Matematica, Universidad de Conception, Casilla 160-C, Conception, Chile;

Departamento de Matematica y Cientia de la Computation, Universidad de Santiago de Chile, Casilla 307, Correo 2, Santiago, ChileDepartamento de Matemdtica y Fisica Aplicadas, Universidad Catolica de la Santisima Conception, Casilla 297, Conception, Chile;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种英语
中图分类自动化基础理论;
关键词
mixed finite element; augmented formulation; generalized stokes problem; optimal control problem;

On stabilized mixed methods for generalized Stokes problem based on the velocity-pseudostress formulation: A priori error estimates

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