Discontinuous Finite Volume Element Methods for the Optimal Control of Brinkman Equations

被引：3

作者：

Kumar, Sarvesh ^{[1
]}

Ruiz-Baier, Ricardo ^{[2
]}

Sandilya, Ruchi ^{[1
]}

机构：

[1] Indian Inst Space Sci & Technol, Dept Math, Thiruvananthapuram 695547, Kerala, India

[2] Univ Oxford, Math Inst, A Wiles Bldg,Woodstock Rd, Oxford OX2 6GG, England

来源：

FINITE VOLUMES FOR COMPLEX APPLICATIONS VIII-HYPERBOLIC, ELLIPTIC AND PARABOLIC PROBLEMS | 2017年 / 200卷

基金：

英国工程与自然科学研究理事会;

关键词：

Brinkman equations; Optimal control problems; Discontinuous finite volume element discretisation; STOKES EQUATIONS; DISCRETIZATION; FLOW;

D O I：

10.1007/978-3-319-57394-6_33

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

We introduce and analyse a family of hybrid discretisations based on lowest order discontinuous finite volume elements for the approximation of optimal control problems constrained by the Brinkman equations. The classical optimise-then-discretise approach is employed to handle the control problem leading to a non-symmetric discrete formulation. An a priori error estimate is derived for the control variable in the L-2 - norm, and we exemplify the properties of the method with a numerical test in 3D.

引用

页码：307 / 315

页数：9

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