Approximate solution to a time optimal boundary control problem for the wave equation

Proceedings of the Steklov Institute of Mathematics ◽

10.1134/s0081543815080106 ◽

2015 ◽

Vol 291 (1) ◽

pp. 102-117 ◽

Author(s):

D. A. Ivanov ◽

M. M. Potapov

Keyword(s):

Wave Equation ◽

Approximate Solution ◽

Control Problem ◽

Boundary Control ◽

Optimal Boundary ◽

Boundary Control Problem ◽

Optimal Boundary Control ◽

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On an optimal boundary control problem for 1-D wave equation with a damping boundary condition

10.1063/1.4854762 ◽

2013 ◽

Author(s):

A. A. Kholomeeva ◽

E. I. Moiseev

Keyword(s):

Boundary Condition ◽

Wave Equation ◽

Control Problem ◽

Boundary Control ◽

Optimal Boundary ◽

Boundary Control Problem ◽

Optimal Boundary Control ◽

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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 ◽

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 ◽

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 ◽

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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 ◽

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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 ◽

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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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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On optimal boundary control problem for a strongly degenerate elliptic equation

Revista Matemática Complutense ◽

10.1007/s13163-019-00310-5 ◽

2019 ◽

Vol 33 (1) ◽

pp. 63-88

Author(s):

Tiziana Durante ◽

Olha P. Kupenko ◽

Rosanna Manzo

Keyword(s):

Elliptic Equation ◽

Control Problem ◽

Boundary Control ◽

Degenerate Elliptic Equation ◽

Optimal Boundary ◽

Boundary Control Problem ◽

Optimal Boundary Control ◽

Degenerate Elliptic ◽

Strongly Degenerate

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On approximation of an optimal boundary control problem for linear elliptic equation with unbounded coefficients

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2014.34.2105 ◽

2014 ◽

Vol 34 (5) ◽

pp. 2105-2133 ◽

Author(s):

Peter I. Kogut ◽

Keyword(s):

Elliptic Equation ◽

Control Problem ◽

Boundary Control ◽

Linear Elliptic Equation ◽

Unbounded Coefficients ◽

Optimal Boundary ◽

Boundary Control Problem ◽

Optimal Boundary Control

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Optimal Boundary Control Problem Solution for Inhomogeneous Biharmonic Equations

Journal of Automation and Information Sciences ◽

10.1615/jautomatinfscien.v46.i7.30 ◽

2014 ◽

Vol 46 (7) ◽

pp. 28-39

Author(s):

Elena M. Kiseleva ◽

Lyubov V. Voloshko

Keyword(s):

Control Problem ◽

Boundary Control ◽

Problem Solution ◽

Biharmonic Equations ◽

Optimal Boundary ◽

Boundary Control Problem ◽

Optimal Boundary Control

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