Stochastic Optimal Robin Boundary Control Problems of Advection-Dominated Elliptic Equations

Peng Chen; Alfio Quarteroni; Gianluigi Rozza

doi:10.1137/120884158

Stochastic Optimal Robin Boundary Control Problems of Advection-Dominated Elliptic Equations

SIAM Journal on Numerical Analysis ◽

10.1137/120884158 ◽

2013 ◽

Vol 51 (5) ◽

pp. 2700-2722 ◽

Cited By ~ 21

Author(s):

Peng Chen ◽

Alfio Quarteroni ◽

Gianluigi Rozza

Keyword(s):

Boundary Control ◽

Elliptic Equations ◽

Control Problems ◽

Boundary Control Problems ◽

Robin Boundary

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Semidiscrete approximations of optimal Robin boundary control problems constrained by semilinear parabolic PDE

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2005.10.053 ◽

2006 ◽

Vol 323 (2) ◽

pp. 891-912 ◽

Cited By ~ 16

Author(s):

K. Chrysafinos ◽

M.D. Gunzburger ◽

L.S. Hou

Keyword(s):

Boundary Control ◽

Control Problems ◽

Boundary Control Problems ◽

Parabolic Pde ◽

Robin Boundary ◽

Semilinear Parabolic

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Superconvergence for Neumann boundary control problems governed by semilinear elliptic equations

Computational Optimization and Applications ◽

10.1007/s10589-014-9718-0 ◽

2014 ◽

Vol 61 (2) ◽

pp. 373-408 ◽

Cited By ~ 5

Author(s):

K. Krumbiegel ◽

J. Pfefferer

Keyword(s):

Boundary Control ◽

Elliptic Equations ◽

Neumann Boundary ◽

Semilinear Elliptic Equations ◽

Control Problems ◽

Semilinear Elliptic ◽

Boundary Control Problems

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Error Estimates for Discontinuous Galerkin Time-Stepping Schemes for Robin Boundary Control Problems Constrained to Parabolic PDEs

SIAM Journal on Numerical Analysis ◽

10.1137/130943108 ◽

2014 ◽

Vol 52 (6) ◽

pp. 2837-2862 ◽

Cited By ~ 5

Author(s):

Konstantinos Chrysafinos ◽

Efthimios N. Karatzas

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

Boundary Control ◽

Control Problems ◽

Parabolic Pdes ◽

Time Stepping ◽

Boundary Control Problems ◽

Robin Boundary

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Weak boundary penalization for Dirichlet boundary control problems governed by elliptic equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2017.04.016 ◽

2017 ◽

Vol 453 (1) ◽

pp. 529-557 ◽

Cited By ~ 5

Author(s):

Lili Chang ◽

Wei Gong ◽

Ningning Yan

Keyword(s):

Boundary Control ◽

Elliptic Equations ◽

Dirichlet Boundary ◽

Control Problems ◽

Dirichlet Boundary Control ◽

Weak Boundary ◽

Boundary Control Problems

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Boundary control problems for quasi-linear elliptic equations:

Applied Mathematics & Optimization ◽

10.1007/bf01204705 ◽

1996 ◽

Vol 33 (3) ◽

pp. 265-291 ◽

Cited By ~ 6

Author(s):

A Pontryagin's ◽

E. Casas

Keyword(s):

Boundary Control ◽

Elliptic Equations ◽

Control Problems ◽

Boundary Control Problems

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Dealing with Integral State Constraints in Boundary Control Problems of Quasilinear Elliptic Equations

SIAM Journal on Control and Optimization ◽

10.1137/s0363012992234633 ◽

1995 ◽

Vol 33 (2) ◽

pp. 568-589 ◽

Cited By ~ 11

Author(s):

Eduardo Casas ◽

Luis A. Fernández

Keyword(s):

Boundary Control ◽

Elliptic Equations ◽

State Constraints ◽

Quasilinear Elliptic Equations ◽

Control Problems ◽

Boundary Control Problems ◽

Quasilinear Elliptic

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A Pontryagin's Principle for Boundary Control Problems of Quasilinear Elliptic Equations

partial differential equation methods in control and shape analysis ◽

10.1201/9781482273618-6 ◽

1997 ◽

pp. 79-92

Keyword(s):

Boundary Control ◽

Elliptic Equations ◽

Quasilinear Elliptic Equations ◽

Control Problems ◽

Pontryagin’S Principle ◽

Pontryagin's Principle ◽

Boundary Control Problems ◽

Quasilinear Elliptic

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Boundary Control Problems for Quasi-Linear Elliptic Equations: A.Pontryagin's Principle

Applied Mathematics & Optimization ◽

10.1007/s002459900014 ◽

1996 ◽

Vol 33 (3) ◽

pp. 265-291 ◽

Cited By ~ 1

Keyword(s):

Boundary Control ◽

Elliptic Equations ◽

Control Problems ◽

Boundary Control Problems

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Unbounded observation and boundary control problems for Burgers equation

[1991] Proceedings of the 30th IEEE Conference on Decision and Control ◽

10.1109/cdc.1991.261841 ◽

2002 ◽

Cited By ~ 1

Author(s):

S. Kang ◽

K. Ito ◽

J.A. Burns

Keyword(s):

Boundary Control ◽

Burgers Equation ◽

Control Problems ◽

Boundary Control Problems

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Local A Posteriori Error Estimates for Convex Boundary Control Problems

SIAM Journal on Numerical Analysis ◽

10.1137/070680576 ◽

2009 ◽

Vol 47 (3) ◽

pp. 1886-1908 ◽

Cited By ~ 2

Author(s):

Wenbin Liu ◽

Ningning Yan

Keyword(s):

Error Estimates ◽

Boundary Control ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error ◽

Convex Boundary ◽

Boundary Control Problems

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