A saddle point approach to an optimal boundary control problem for steady Navier-Stokes equations

Andrea Manzoni;  ; Alfio Quarteroni; Sandro Salsa;  ;

doi:10.3934/mine.2019.2.252

A saddle point approach to an optimal boundary control problem for steady Navier-Stokes equations

Mathematics in Engineering ◽

10.3934/mine.2019.2.252 ◽

2019 ◽

Vol 1 (2) ◽

pp. 252-280

Author(s):

Andrea Manzoni ◽

◽

Alfio Quarteroni ◽

Sandro Salsa ◽

◽

...

Keyword(s):

Saddle Point ◽

Control Problem ◽

Boundary Control ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Optimal Boundary ◽

Boundary Control Problem ◽

Optimal Boundary Control

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Existence of optimal boundary control for the Navier–Stokes equations with mixed boundary conditions

Portugaliae Mathematica ◽

10.4171/pm/1968 ◽

2015 ◽

Vol 72 (2) ◽

pp. 267-283 ◽

Cited By ~ 7

Author(s):

Telma Guerra ◽

Adélia Sequeira ◽

Jorge Tiago

Keyword(s):

Boundary Conditions ◽

Boundary Control ◽

Stokes Equations ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Optimal Boundary ◽

Optimal Boundary Control

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Optimal boundary control for nonstationary problems of fluid flow and nonhomogeneous boundary value problems for the Navier-Stokes equations

Optimal Control of Distributed Systems. Theory and Applications - Translations of Mathematical Monographs ◽

10.1090/mmono/187/05 ◽

1999 ◽

pp. 193-232

Keyword(s):

Fluid Flow ◽

Boundary Value Problems ◽

Boundary Control ◽

Stokes Equations ◽

Boundary Value ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Optimal Boundary ◽

Nonhomogeneous Boundary ◽

Optimal Boundary Control

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Adjoint-Based Optimal Boundary Control of a Stefan Problem System Fully Coupled with Navier-Stokes Equations

PAMM ◽

10.1002/pamm.201610378 ◽

2016 ◽

Vol 16 (1) ◽

pp. 779-780 ◽

Cited By ~ 1

Author(s):

Björn Baran ◽

Jan Heiland

Keyword(s):

Boundary Control ◽

Stefan Problem ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Optimal Boundary ◽

Optimal Boundary Control ◽

Fully Coupled

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A BOUNDARY CONTROL PROBLEM FOR VORTICITY MINIMIZATION IN TIME-DEPENDENT 2D NAVIER-STOKES EQUATIONS

Korean Journal of Mathematics ◽

10.11568/kjm.2015.23.2.293 ◽

2015 ◽

Vol 23 (2) ◽

pp. 293-312

Author(s):

HONGCHUL KIM

Keyword(s):

Control Problem ◽

Boundary Control ◽

Stokes Equations ◽

Time Dependent ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Boundary Control Problem

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Open Boundary Control Problem for Navier-Stokes Equations Including a Free Surface: Data Assimilation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2006.11.005 ◽

2006 ◽

Vol 52 (8-9) ◽

pp. 1269-1288 ◽

Cited By ~ 12

Author(s):

I.Yu. Gejadze ◽

G. J.M. Copeland ◽

I.M. Navon

Keyword(s):

Free Surface ◽

Data Assimilation ◽

Control Problem ◽

Boundary Control ◽

Stokes Equations ◽

Navier Stokes ◽

Open Boundary ◽

Navier Stokes Equations ◽

Boundary Control Problem ◽

Surface Data

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Semismooth Newton Methods for an Optimal Boundary Control Problem of Wave Equations

Recent Advances in Optimization and its Applications in Engineering ◽

10.1007/978-3-642-12598-0_33 ◽

2010 ◽

pp. 389-398 ◽

Cited By ~ 1

Author(s):

Axel Kröner ◽

Karl Kunisch ◽

Boris Vexler

Keyword(s):

Control Problem ◽

Boundary Control ◽

Wave Equations ◽

Newton Methods ◽

Optimal Boundary ◽

Boundary Control Problem ◽

Optimal Boundary Control ◽

Semismooth Newton ◽

Semismooth Newton Methods

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Asymptotic analysis of an optimal boundary control problem for ill-posed elliptic equation in domains with rugous boundary

Asymptotic Analysis ◽

10.3233/asy-191570 ◽

2020 ◽

Vol 118 (3) ◽

pp. 209-234 ◽

Cited By ~ 1

Author(s):

Umberto De Maio ◽

Peter I. Kogut ◽

Rosanna Manzo

Keyword(s):

Elliptic Equation ◽

Asymptotic Analysis ◽

Control Problem ◽

Boundary Control ◽

Optimal Boundary ◽

Boundary Control Problem ◽

Optimal Boundary Control ◽

Ill Posed

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Optimal boundary control problem for ill‐posed elliptic equation in domains with rugous boundary. Existence result and optimality conditions

Optimal Control Applications and Methods ◽

10.1002/oca.2660 ◽

2020 ◽

Author(s):

Ciro D'Apice ◽

Umberto De Maio ◽

Peter I. Kogut

Keyword(s):

Elliptic Equation ◽

Control Problem ◽

Optimality Conditions ◽

Boundary Control ◽

Existence Result ◽

Optimal Boundary ◽

Boundary Control Problem ◽

Optimal Boundary Control ◽

Ill Posed

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Asymptotics of the Solution of a Bisingular Optimal Boundary Control Problem in a Bounded Domain

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542518110040 ◽

2018 ◽

Vol 58 (11) ◽

pp. 1737-1747

Author(s):

A. R. Danilin

Keyword(s):

Control Problem ◽

Bounded Domain ◽

Boundary Control ◽

Optimal Boundary ◽

Boundary Control Problem ◽

Optimal Boundary Control

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NECESSARY CONDITIONS FOR OPTIMAL BOUNDARY CONTROL PROBLEM GOVERNED BY SOME CHEMOTAXIS EQUATIONS

East Asian Mathematical Journal ◽

10.7858/eamj.2013.033 ◽

2013 ◽

Vol 29 (5) ◽

pp. 491-501 ◽

Cited By ~ 1

Author(s):

Sang-Uk Ryu

Keyword(s):

Control Problem ◽

Boundary Control ◽

Necessary Conditions ◽

Optimal Boundary ◽

Boundary Control Problem ◽

Optimal Boundary Control

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