Finite element error analysis for measure-valued optimal control problems governed by a 1D wave equation with variable coefficients

Philip Trautmann;  ; Boris Vexler; Alexander Zlotnik;  ;

doi:10.3934/mcrf.2018017

Finite element error analysis for measure-valued optimal control problems governed by a 1D wave equation with variable coefficients

Mathematical Control & Related Fields ◽

10.3934/mcrf.2018017 ◽

2018 ◽

Vol 8 (2) ◽

pp. 411-449 ◽

Cited By ~ 3

Author(s):

Philip Trautmann ◽

◽

Boris Vexler ◽

Alexander Zlotnik ◽

◽

...

Keyword(s):

Optimal Control ◽

Finite Element ◽

Wave Equation ◽

Error Analysis ◽

Optimal Control Problems ◽

Variable Coefficients ◽

Control Problems ◽

Element Error

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On Finite Element Error Estimates for Optimal Control Problems with Elliptic PDEs

Large-Scale Scientific Computing - Lecture Notes in Computer Science ◽

10.1007/978-3-642-12535-5_4 ◽

2010 ◽

pp. 40-53 ◽

Cited By ~ 6

Author(s):

Fredi Tröltzsch

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Estimates ◽

Optimal Control Problems ◽

Elliptic Pdes ◽

Control Problems ◽

Element Error

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A Priori Error Analysis for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems

Numerical Mathematics and Advanced Applications ◽

10.1007/978-3-540-69777-0_77 ◽

2008 ◽

pp. 645-652

Author(s):

D. Meidner ◽

B. Vexler

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Analysis ◽

Optimal Control Problems ◽

A Priori ◽

Space Time ◽

Control Problems ◽

Finite Element Discretization ◽

Element Discretization ◽

Parabolic Optimal Control

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An Error Analysis of Discontinuous Finite Element Methods for the Optimal Control Problems Governed by Stokes Equation

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2018.1538158 ◽

2018 ◽

Vol 40 (4) ◽

pp. 421-460

Author(s):

Asha K. Dond ◽

Thirupathi Gudi ◽

Ramesh C.H. Sau

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Analysis ◽

Stokes Equation ◽

Finite Element Methods ◽

Optimal Control Problems ◽

Control Problems ◽

Discontinuous Finite Element

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A Priori Error Analysis for Finite Element Approximation of Parabolic Optimal Control Problems with Pointwise Control

SIAM Journal on Control and Optimization ◽

10.1137/110840133 ◽

2014 ◽

Vol 52 (1) ◽

pp. 97-119 ◽

Cited By ~ 19

Author(s):

Wei Gong ◽

Michael Hinze ◽

Zhaojie Zhou

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Analysis ◽

Optimal Control Problems ◽

A Priori ◽

Finite Element Approximation ◽

Control Problems ◽

Element Approximation ◽

A Priori Error Analysis ◽

Parabolic 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 ◽

Cited By ~ 4

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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On a finite element method for measure-valued optimal control problems governed by the 1D generalized wave equation

Comptes Rendus Mathematique ◽

10.1016/j.crma.2018.02.011 ◽

2018 ◽

Vol 356 (5) ◽

pp. 523-531

Author(s):

Boris Vexler ◽

Alexander Zlotnik ◽

Philip Trautmann

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Wave Equation ◽

Optimal Control Problems ◽

Control Problems ◽

Generalized Wave Equation ◽

Element Method

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Tensor method for optimal control problems constrained by fractional three‐dimensional elliptic operator with variable coefficients

Numerical Linear Algebra with Applications ◽

10.1002/nla.2404 ◽

2021 ◽

Author(s):

Britta Schmitt ◽

Boris N. Khoromskij ◽

Venera Khoromskaia ◽

Volker Schulz

Keyword(s):

Optimal Control ◽

Elliptic Operator ◽

Optimal Control Problems ◽

Three Dimensional ◽

Variable Coefficients ◽

Control Problems ◽

Tensor Method

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A posteriori $$L^{\infty }(L^{\infty })$$-error estimates for finite-element approximations to parabolic optimal control problems

Computational and Applied Mathematics ◽

10.1007/s40314-021-01682-5 ◽

2021 ◽

Vol 40 (8) ◽

Author(s):

Ram Manohar ◽

Rajen Kumar Sinha

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Estimates ◽

Optimal Control Problems ◽

Control Problems ◽

A Posteriori ◽

Finite Element Approximations ◽

Parabolic Optimal Control

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Finite Element Solution of Optimal Control Problems with Inequality Constraints

10.23919/acc.1990.4790735 ◽

1990 ◽

Cited By ~ 2

Author(s):

Robert R. Bless ◽

Dewey H. Hodges

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Inequality Constraints ◽

Finite Element Solution ◽

Control Problems ◽

Element Solution

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Finite Element Approximations of Parabolic Optimal Control Problems with Controls Acting on a Lower Dimensional Manifold

SIAM Journal on Numerical Analysis ◽

10.1137/151004744 ◽

2016 ◽

Vol 54 (2) ◽

pp. 1229-1262 ◽

Cited By ~ 5

Author(s):

Wei Gong ◽

Ningning Yan

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

Control Problems ◽

Dimensional Manifold ◽

Finite Element Approximations ◽

Parabolic Optimal Control ◽

Lower Dimensional

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