Weak duality for parabolic boundary control problems

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(82)90068-3 ◽

1982 ◽

Vol 90 (2) ◽

pp. 393-407

Author(s):

Uwe Mackenroth

Keyword(s):

Boundary Control ◽

Control Problems ◽

Weak Duality ◽

Parabolic Boundary ◽

Boundary Control Problems

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Numerical solution of some parabolic boundary control problems by finite elements

Control Problems for Systems Described by Partial Differential Equations and Applications - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0038765 ◽

2006 ◽

pp. 325-335 ◽

Author(s):

U. Mackenroth

Keyword(s):

Finite Elements ◽

Numerical Solution ◽

Boundary Control ◽

Control Problems ◽

Parabolic Boundary ◽

Boundary Control Problems

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Convergence of Finite Element Approximations to State Constrained Convex Parabolic Boundary Control Problems

SIAM Journal on Control and Optimization ◽

10.1137/0327038 ◽

1989 ◽

Vol 27 (4) ◽

pp. 718-736 ◽

Author(s):

Walter Alt ◽

Uwe Mackenroth

Keyword(s):

Finite Element ◽

Boundary Control ◽

Control Problems ◽

Parabolic Boundary ◽

Finite Element Approximations ◽

Boundary Control Problems

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On some parabolic boundary control problems with constraints on the control and functional-constraints on the state

Zeitschrift für Analysis und ihre Anwendungen ◽

10.4171/zaa/23 ◽

1982 ◽

Vol 1 (4) ◽

pp. 1-13 ◽

Author(s):

Fredi Tröltzsch

Keyword(s):

Boundary Control ◽

The State ◽

Control Problems ◽

Functional Constraints ◽

Parabolic Boundary ◽

Boundary Control Problems

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Approximating parabolic boundary control problems with delayed actuator dynamics

2013 American Control Conference ◽

10.1109/acc.2013.6580142 ◽

2013 ◽

Author(s):

John A. Burns ◽

Terry L. Herdman ◽

Lizette Zietsman

Keyword(s):

Boundary Control ◽

Control Problems ◽

Parabolic Boundary ◽

Actuator Dynamics ◽

Boundary Control Problems

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Semidiscrete Ritz-Galerkin approximation of nonlinear parabolic boundary control problems?Strong convergence of optimal controls

Applied Mathematics & Optimization ◽

10.1007/bf01189480 ◽

1994 ◽

Vol 29 (3) ◽

pp. 309-329 ◽

Author(s):

Fredi Tr�ltzsch

Keyword(s):

Strong Convergence ◽

Boundary Control ◽

Galerkin Approximation ◽

Control Problems ◽

Optimal Controls ◽

Parabolic Boundary ◽

Nonlinear Parabolic ◽

Boundary Control Problems

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Second-Order Sufficient Optimality Conditions for a Class of Nonlinear Parabolic Boundary Control Problems

SIAM Journal on Control and Optimization ◽

10.1137/0331045 ◽

1993 ◽

Vol 31 (4) ◽

pp. 1007-1025 ◽

Author(s):

H. Goldberg ◽

F. Tröltzsch

Keyword(s):

Optimality Conditions ◽

Boundary Control ◽

Second Order ◽

Control Problems ◽

Sufficient Optimality Conditions ◽

Parabolic Boundary ◽

Nonlinear Parabolic ◽

Boundary Control Problems

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Convex parabolic boundary control problems with pointwise state constraints

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(82)90165-2 ◽

1982 ◽

Vol 87 (1) ◽

pp. 256-277 ◽

Author(s):

Uwe Mackenroth

Keyword(s):

Boundary Control ◽

State Constraints ◽

Control Problems ◽

Parabolic Boundary ◽

Pointwise State Constraints ◽

Boundary Control Problems

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Second order optimality conditions for nonlinear parabolic boundary control problems

Optimal Control of Partial Differential Equations - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0043217 ◽

2006 ◽

pp. 93-103 ◽

Author(s):

Helmuth Goldberg ◽

Fredi Tröltzsch

Keyword(s):

Optimality Conditions ◽

Boundary Control ◽

Second Order ◽

Control Problems ◽

Parabolic Boundary ◽

Second Order Optimality Conditions ◽

Nonlinear Parabolic ◽

Boundary Control Problems

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On a SQP-Multigrid Technique for Nonlinear Parabolic Boundary Control Problems

Applied Optimization - Optimal Control ◽

10.1007/978-1-4757-6095-8_8 ◽

1998 ◽

pp. 154-177 ◽

Author(s):

Helmuth Goldberg ◽

Fredi Tröltzsch

Keyword(s):

Boundary Control ◽

Control Problems ◽

Parabolic Boundary ◽

Nonlinear Parabolic ◽

Boundary Control Problems

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Boundary element methods for parabolic boundary control problems

Journal of Integral Equations and Applications ◽

10.1216/jie-2014-26-1-53 ◽

2014 ◽

Vol 26 (1) ◽

pp. 53-90

Author(s):

Thanh Xuan Phan ◽

Olaf Steinbach

Keyword(s):

Boundary Element ◽

Boundary Control ◽

Boundary Element Methods ◽

Control Problems ◽

Parabolic Boundary ◽

Boundary Control Problems

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