Finite element methods for elliptic optimal control problems with boundary observations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2014.11.011 ◽

2015 ◽

Vol 90 ◽

pp. 190-207 ◽

Author(s):

Ming Yan ◽

Wei Gong ◽

Ningning Yan

Keyword(s):

Optimal Control ◽

Finite Element ◽

Finite Element Methods ◽

Optimal Control Problems ◽

Control Problems ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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Superconvergence of H1-Galerkin Mixed Finite Element Methods for Elliptic Optimal Control Problems

East Asian Journal on Applied Mathematics ◽

10.4208/eajam.150117.070618 ◽

2019 ◽

Vol 9 (1) ◽

pp. 87-101 ◽

Author(s):

Chunmei Liu

Keyword(s):

Optimal Control ◽

Finite Element ◽

Finite Element Methods ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Control Problems ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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Variational discretization and rectangle mixed finite element methods for quadratic semilinear elliptic optimal control problems

2011 8th International Conference on Electrical Engineering, Computing Science and Automatic Control ◽

10.1109/iceee.2011.6106643 ◽

2011 ◽

Author(s):

Zuliang Lu

Keyword(s):

Optimal Control ◽

Finite Element ◽

Finite Element Methods ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Control Problems ◽

Semilinear Elliptic ◽

Variational Discretization ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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A GLOBAL SUPERCONVERGENT L∞-ERROR ESTIMATE OF MIXED FINITE ELEMENT METHODS FOR SEMILINEAR ELLIPTIC OPTIMAL CONTROL PROBLEMS

Journal of Applied Analysis & Computation ◽

10.11948/2015028 ◽

2015 ◽

Vol 5 (3) ◽

pp. 313-328

Author(s):

Li Li ◽

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Estimate ◽

Finite Element Methods ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Control Problems ◽

Semilinear Elliptic ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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Interpolation coefficients mixed finite element methods for general semilinear Dirichlet boundary elliptic optimal control problems

Applicable Analysis ◽

10.1080/00036811.2017.1376319 ◽

2017 ◽

Vol 97 (14) ◽

pp. 2496-2509

Author(s):

Zuliang Lu ◽

Longzhou Cao ◽

Lin Li

Keyword(s):

Optimal Control ◽

Finite Element ◽

Finite Element Methods ◽

Dirichlet Boundary ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Control Problems ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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A FrameWork for the Error Analysis of Discontinuous Finite Element Methods for Elliptic Optimal Control Problems and Applications toC0IP Methods

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2015.1068182 ◽

2015 ◽

Vol 36 (11) ◽

pp. 1388-1419 ◽

Author(s):

Sudipto Chowdhury ◽

Thirupathi Gudi ◽

A. K. Nandakumaran

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Analysis ◽

Finite Element Methods ◽

Optimal Control Problems ◽

Control Problems ◽

Discontinuous Finite Element ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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RICHARDSON EXTRAPOLATION AND DEFECT CORRECTION OF MIXED FINITE ELEMENT METHODS FOR ELLIPTIC OPTIMAL CONTROL PROBLEMS

Journal of the Korean Mathematical Society ◽

10.4134/jkms.2012.49.3.549 ◽

2012 ◽

Vol 49 (3) ◽

pp. 549-569 ◽

Author(s):

Yanping Chen ◽

Yunqing Huang ◽

Tianliang Hou

Keyword(s):

Optimal Control ◽

Finite Element ◽

Finite Element Methods ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Richardson Extrapolation ◽

Control Problems ◽

Defect Correction ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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A Stabilized Mixed Finite Element Method for Elliptic Optimal Control Problems

Journal of Scientific Computing ◽

10.1007/s10915-015-0050-3 ◽

2015 ◽

Vol 66 (3) ◽

pp. 968-986 ◽

Author(s):

Hongfei Fu ◽

Hongxing Rui ◽

Jian Hou ◽

Haihong Li

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Control Problems ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control ◽

Stabilized Mixed Finite Element

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Two‐grid methods for – P 1 mixed finite element approximation of general elliptic optimal control problems with low regularity

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22471 ◽

2020 ◽

Vol 36 (5) ◽

pp. 1184-1202

Author(s):

Tianliang Hou ◽

Haitao Leng ◽

Tian Luan

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Mixed Finite Element ◽

Finite Element Approximation ◽

Control Problems ◽

Element Approximation ◽

General Elliptic ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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A direct approach to the finite element solution of elliptic optimal control problems

Numerical Methods for Partial Differential Equations ◽

10.1002/(sici)1098-2426(199905)15:3<371::aid-num7>3.0.co;2-x ◽

1999 ◽

Vol 15 (3) ◽

pp. 371-388 ◽

Author(s):

Dan Givoli

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Direct Approach ◽

Finite Element Solution ◽

Control Problems ◽

Element Solution ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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Adaptive finite element method for elliptic optimal control problems: convergence and optimality

Numerische Mathematik ◽

10.1007/s00211-016-0827-9 ◽

2016 ◽

Vol 135 (4) ◽

pp. 1121-1170 ◽

Author(s):

Wei Gong ◽

Ningning Yan

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Adaptive Finite Element Method ◽

Control Problems ◽

Adaptive Finite Element ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control ◽

Convergence And Optimality

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