The paper deals with the optimal control problems governed by the 1D wave equation with variable coefficients and the control spaces of either measure-valued functions or vector measures . Bilinear finite element discretizations are constructed and their stability and error analysis is accomplished.
Cet article traite des problèmes de contrôle optimal régis par l'équation d'onde 1D avec coefficients variables, les espaces de contrôle étant, soit des fonctions mesurées , soit des mesures vectorielles . On construit des discrétisations bilinéaires des éléments finis et on en analyse la stabilité et l'erreur.
Accepted:
Published online:
Boris Vexler 1; Alexander Zlotnik 2; Philip Trautmann 3
@article{CRMATH_2018__356_5_523_0,
author = {Boris Vexler and Alexander Zlotnik and Philip Trautmann},
title = {On a finite element method for measure-valued optimal control problems governed by the {1D} generalized wave equation},
journal = {Comptes Rendus. Math\'ematique},
pages = {523--531},
publisher = {Elsevier},
volume = {356},
number = {5},
year = {2018},
doi = {10.1016/j.crma.2018.02.011},
language = {en},
}
TY - JOUR AU - Boris Vexler AU - Alexander Zlotnik AU - Philip Trautmann TI - On a finite element method for measure-valued optimal control problems governed by the 1D generalized wave equation JO - Comptes Rendus. Mathématique PY - 2018 SP - 523 EP - 531 VL - 356 IS - 5 PB - Elsevier DO - 10.1016/j.crma.2018.02.011 LA - en ID - CRMATH_2018__356_5_523_0 ER -
%0 Journal Article %A Boris Vexler %A Alexander Zlotnik %A Philip Trautmann %T On a finite element method for measure-valued optimal control problems governed by the 1D generalized wave equation %J Comptes Rendus. Mathématique %D 2018 %P 523-531 %V 356 %N 5 %I Elsevier %R 10.1016/j.crma.2018.02.011 %G en %F CRMATH_2018__356_5_523_0
Boris Vexler; Alexander Zlotnik; Philip Trautmann. On a finite element method for measure-valued optimal control problems governed by the 1D generalized wave equation. Comptes Rendus. Mathématique, Volume 356 (2018) no. 5, pp. 523-531. doi : 10.1016/j.crma.2018.02.011. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2018.02.011/
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