Fast Solution Techniques in Constrained Optimal Boundary Control of the Semilinear Heat Equation

International Series of Numerical Mathematics - Control of Coupled Partial Differential Equations ◽

10.1007/978-3-7643-7721-2_6 ◽

2007 ◽

pp. 119-147 ◽

Author(s):

M. Hintermüller ◽

S. Volkwein ◽

F. Diwoky

Keyword(s):

Heat Equation ◽

Boundary Control ◽

Optimal Boundary ◽

Semilinear Heat Equation ◽

Optimal Boundary Control ◽

Fast Solution ◽

Solution Techniques

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Computation of a Constrained Optimal Boundary Control for the Heat Equation

10.23919/acc.1982.4787846 ◽

1982 ◽

Author(s):

Thomas I. Seidman

Keyword(s):

Heat Equation ◽

Boundary Control ◽

Optimal Boundary ◽

Optimal Boundary Control

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Optimal boundary control of the heat equation with target function at terminal time

Applied Mathematics and Computation ◽

10.1016/s0096-3003(01)00011-x ◽

2002 ◽

Vol 127 (2-3) ◽

pp. 335-345 ◽

Author(s):

Guangcao Ji ◽

Clyde Martin

Keyword(s):

Heat Equation ◽

Boundary Control ◽

Target Function ◽

Optimal Boundary ◽

Terminal Time ◽

Optimal Boundary Control

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An Abstract Bang-Bang Principle and Time-Optimal Boundary Control of the Heat Equation

SIAM Journal on Control and Optimization ◽

10.1137/s0363012996265470 ◽

1997 ◽

Vol 35 (4) ◽

pp. 1204-1216 ◽

Author(s):

Victor J. Mizel ◽

Thomas I. Seidman

Keyword(s):

Heat Equation ◽

Boundary Control ◽

Optimal Boundary ◽

Optimal Boundary Control ◽

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Optimal boundary control for the heat equation with application to freezing with phase change

2013 Australian Control Conference ◽

10.1109/aucc.2013.6697308 ◽

2013 ◽

Author(s):

Christoph Josef Backi ◽

Jan Tommy Gravdahl

Keyword(s):

Heat Equation ◽

Phase Change ◽

Boundary Control ◽

Optimal Boundary ◽

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 ◽

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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An analytic form of an optimal boundary control by displacement at one end of a string under a model nonlocal boundary condition of one of four types

Doklady Mathematics ◽

10.1134/s1064562408030198 ◽

2008 ◽

Vol 77 (3) ◽

pp. 391-395 ◽

Author(s):

V. A. Il’in

Keyword(s):

Boundary Condition ◽

Boundary Control ◽

Nonlocal Boundary Condition ◽

Nonlocal Boundary ◽

Analytic Form ◽

Optimal Boundary ◽

Optimal Boundary Control

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A Nonoverlapping Domain Decomposition for Optimal Boundary Control of the Dynamic Maxwell System

Control Of Nonlinear Distributed Parameter Systems ◽

10.1201/9780203904190.ch8 ◽

2001 ◽

Author(s):

J Lagnese

Keyword(s):

Domain Decomposition ◽

Boundary Control ◽

Maxwell System ◽

Nonoverlapping Domain ◽

Optimal Boundary ◽

Optimal Boundary Control ◽

Nonoverlapping Domain Decomposition

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Optimal boundary control of nonsteady incompressible flow with an application to viscous drag reduction

10.1109/cdc.1990.203619 ◽

1990 ◽

Author(s):

T.P. Svobodny ◽

M.D. Gunzburger ◽

L.S. Hou

Keyword(s):

Drag Reduction ◽

Boundary Control ◽

Incompressible Flow ◽

Viscous Drag ◽

Optimal Boundary ◽

Optimal Boundary Control

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Time-Optimal Boundary Control for Systems Defined by a Fractional Order Diffusion Equation

Automation and Remote Control ◽

10.1134/s0005117918050090 ◽

2018 ◽

Vol 79 (5) ◽

pp. 884-896 ◽

Author(s):

V. A. Kubyshkin ◽

S. S. Postnov

Keyword(s):

Diffusion Equation ◽

Boundary Control ◽

Fractional Order ◽

Optimal Boundary ◽

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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