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 ◽

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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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 ◽

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 ◽

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Error Estimates of Stochastic Optimal Neumann Boundary Control Problems

SIAM Journal on Numerical Analysis ◽

10.1137/100801731 ◽

2011 ◽

Vol 49 (4) ◽

pp. 1532-1552 ◽

Author(s):

Max D. Gunzburger ◽

Hyung-Chun Lee ◽

Jangwoon Lee

Keyword(s):

Error Estimates ◽

Boundary Control ◽

Neumann Boundary ◽

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 ◽

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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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 ◽

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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Residual-type a posteriori error analysis of HDG methods for Neumann boundary control problems

Advances in Computational Mathematics ◽

10.1007/s10444-021-09864-9 ◽

2021 ◽

Vol 47 (3) ◽

Author(s):

Haitao Leng ◽

Yanping Chen

Keyword(s):

Error Analysis ◽

Boundary Control ◽

Neumann Boundary ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Boundary Control Problems ◽

Posteriori Error Analysis

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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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A Priori Error Analysis for Linear Quadratic Elliptic Neumann Boundary Control Problems with Control and State Constraints

SIAM Journal on Control and Optimization ◽

10.1137/090746148 ◽

2010 ◽

Vol 48 (8) ◽

pp. 5108-5142 ◽

Author(s):

K. Krumbiegel ◽

C. Meyer ◽

A. Rösch

Keyword(s):

Error Analysis ◽

Boundary Control ◽

State Constraints ◽

A Priori ◽

Neumann Boundary ◽

Control Problems ◽

Linear Quadratic ◽

A Priori Error Analysis ◽

Boundary Control Problems ◽

Control And State Constraints

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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 ◽

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 ◽

Author(s):

Konstantinos Chrysafinos ◽

Efthimios N. Karatzas

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

Boundary Control ◽

Control Problems ◽

Parabolic Pdes ◽

Time Stepping ◽

Boundary Control Problems ◽

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Finite Volume Element Method for Solving the Elliptic Neumann Boundary Control Problems

Applied Mathematics ◽

10.4236/am.2020.1112085 ◽

2020 ◽

Vol 11 (12) ◽

pp. 1243-1252

Author(s):

Quanxiang Wang

Keyword(s):

Finite Volume ◽

Boundary Control ◽

Neumann Boundary ◽

Volume Element ◽

Control Problems ◽

Finite Volume Element Method ◽

Boundary Control Problems ◽

Finite Volume Element ◽

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