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

Konstantinos Chrysafinos; Efthimios N. Karatzas

doi:10.1137/130943108

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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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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Error estimates for the postprocessing approach applied to Neumann boundary control problems in polyhedral domains

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drx059 ◽

2017 ◽

Vol 38 (4) ◽

pp. 1984-2025 ◽

Cited By ~ 2

Author(s):

Thomas Apel ◽

Max Winkler ◽

Johannes Pfefferer

Keyword(s):

Error Estimates ◽

Boundary Control ◽

Neumann Boundary ◽

Control Problems ◽

Boundary Control Problems

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A posteriori error estimates for some model boundary control problems

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(00)00308-3 ◽

2000 ◽

Vol 120 (1-2) ◽

pp. 159-173 ◽

Cited By ~ 17

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 ◽

Boundary Control Problems

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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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Finite Element Method and A Priori Error Estimates for Dirichlet Boundary Control Problems Governed by Parabolic PDEs

Journal of Scientific Computing ◽

10.1007/s10915-015-0051-2 ◽

2015 ◽

Vol 66 (3) ◽

pp. 941-967 ◽

Cited By ~ 10

Author(s):

Wei Gong ◽

Michael Hinze ◽

Zhaojie Zhou

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimates ◽

Dirichlet Boundary ◽

A Priori ◽

Control Problems ◽

Parabolic Pdes ◽

Dirichlet Boundary Control ◽

Boundary Control Problems ◽

Priori Error Estimates

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A priori error estimates and superconvergence of P02-P1 mixed finite element methods for elliptic boundary control problems

Сибирский журнал вычислительной математики ◽

10.15372/sjnm20210105 ◽

2021 ◽

Keyword(s):

Finite Element ◽

Error Estimates ◽

Boundary Control ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Elliptic Boundary ◽

A Priori ◽

Control Problems ◽

Boundary Control Problems ◽

Priori Error Estimates

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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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Finite element error estimates for Neumann boundary control problems on graded meshes

Computational Optimization and Applications ◽

10.1007/s10589-011-9427-x ◽

2011 ◽

Vol 52 (1) ◽

pp. 3-28 ◽

Cited By ~ 25

Author(s):

Thomas Apel ◽

Johannes Pfefferer ◽

Arnd Rösch

Keyword(s):

Finite Element ◽

Error Estimates ◽

Boundary Control ◽

Neumann Boundary ◽

Control Problems ◽

Boundary Control Problems ◽

Graded Meshes ◽

Element Error

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Symmetric error estimates for discontinuous Galerkin time-stepping schemes for optimal control problems constrained to evolutionary Stokes equations

Computational Optimization and Applications ◽

10.1007/s10589-014-9695-3 ◽

2014 ◽

Vol 60 (3) ◽

pp. 719-751 ◽

Cited By ~ 2

Author(s):

Konstantinos Chrysafinos ◽

Efthimios N. Karatzas

Keyword(s):

Optimal Control ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Optimal Control Problems ◽

Stokes Equations ◽

Control Problems ◽

Time Stepping ◽

Symmetric Error Estimates

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A Posteriori Error Estimates for Semilinear Boundary Control Problems

Lecture Notes in Computational Science and Engineering - Domain Decomposition Methods in Science and Engineering XIX ◽

10.1007/978-3-642-11304-8_53 ◽

2010 ◽

pp. 455-462 ◽

Cited By ~ 2

Author(s):

Yanping Chen ◽

Zuliang Lu

Keyword(s):

Error Estimates ◽

Boundary Control ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error ◽

Boundary Control Problems

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