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Numerical Functional Analysis and Optimization Volume 36, 2015 - Issue 11
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Original Articles

A FrameWork for the Error Analysis of Discontinuous Finite Element Methods for Elliptic Optimal Control Problems and Applications to C0 IP Methods

Sudipto Chowdhury Department of Mathematics, Indian Institute of Science, Bangalore, India
,
Thirupathi Gudi Department of Mathematics, Indian Institute of Science, Bangalore, IndiaCorrespondence[email protected]
&
A. K. Nandakumaran Department of Mathematics, Indian Institute of Science, Bangalore, India
Pages 1388-1419 | Received 30 Oct 2014, Accepted 29 Jun 2015, Published online: 03 Nov 2015

Citations (10)

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Read on this site (2)

Hongbo Guan, Yapeng Hong & Congcong Bi. (2020) Global superconvergence analysis of a nonconforming FEM for Neumann boundary OCPs with elliptic equations. International Journal of Computer Mathematics 97:12, pages 2451-2461.
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Asha K. Dond, Thirupathi Gudi & Ramesh C.H. Sau. (2019) An Error Analysis of Discontinuous Finite Element Methods for the Optimal Control Problems Governed by Stokes Equation. Numerical Functional Analysis and Optimization 40:4, pages 421-460.
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Articles from other publishers (8)

Sudipto Chowdhury, Divay Garg & Ravina Shokeen. (2024) Modified interior penalty analysis for fourth order Dirichlet boundary control problem and a posteriori error estimates . Mathematics and Computers in Simulation 219, pages 185-211.
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R.H.W. Hoppe. (2023) An adaptive C0 Interior Penalty Discontinuous Galerkin method and an equilibrated a posteriori error estimator for the von Kármán equations. Applied Numerical Mathematics 190, pages 27-49.
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Divay Garg & Kamana Porwal. (2023) Unified discontinuous Galerkin finite element methods for second order Dirichlet boundary control problem. Applied Numerical Mathematics 185, pages 336-364.
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Thirupathi GudiGouranga Mallik & Ramesh Ch. Sau. (2022) Finite Element Analysis of a Constrained Dirichlet Boundary Control Problem Governed by a Linear Parabolic Equation. SIAM Journal on Control and Optimization 60:6, pages 3262-3288.
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Sudipto Chowdhury, Asha K. Dond, Neela Nataraj & Devika Shylaja. (2022) A posteriori error analysis for a distributed optimal control problem governed by the von Kármán equations . ESAIM: Mathematical Modelling and Numerical Analysis 56:5, pages 1655-1686.
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Jai Tushar, Anil Kumar & Sarvesh Kumar. (2022) Variational and Virtual Discretizations of Optimal Control Problems Governed by Diffusion Problems. Applied Mathematics & Optimization 85:2.
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Thirupathi Gudi & Ramesh Ch. Sau. (2020) Finite element analysis of the constrained Dirichlet boundary control problem governed by the diffusion problem. ESAIM: Control, Optimisation and Calculus of Variations 26, pages 78.
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Sudipto Chowdhury & Thirupathi Gudi. (2017) A interior penalty method for the Dirichlet control problem governed by biharmonic operator . Journal of Computational and Applied Mathematics 317, pages 290-306.
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