A priori error estimates for space-time finite element discretization of parabolic time-optimal control problems

Lucas Bonifacius; Konstantin Pieper; Boris Vexler

doi:10.1137/18M1166948

A priori error estimates for space-time finite element discretization of parabolic time-optimal control problems

Lucas Bonifacius
, Konstantin Pieper
, Boris Vexler

Technical University of Munich
Florida State University

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

Space-time finite element discretizations of time-optimal control problems governed by linear parabolic PDEs and subject to pointwise control constraints are considered. Optimal a priori error estimates are obtained for the control variable based on a second order sufficient optimality condition.

Original language	English
Pages (from-to)	129-162
Number of pages	34
Journal	SIAM Journal on Control and Optimization
Volume	57
Issue number	1
DOIs	https://doi.org/10.1137/18M1166948
State	Published - 2019
Externally published	Yes

Keywords

Error estimates
Galerkin method
Time-optimal control

Access to Document

10.1137/18M1166948

Cite this

@article{4ae831773d5440ca922b73e7ba707220,

title = "A priori error estimates for space-time finite element discretization of parabolic time-optimal control problems",

abstract = "Space-time finite element discretizations of time-optimal control problems governed by linear parabolic PDEs and subject to pointwise control constraints are considered. Optimal a priori error estimates are obtained for the control variable based on a second order sufficient optimality condition.",

keywords = "Error estimates, Galerkin method, Time-optimal control",

author = "Lucas Bonifacius and Konstantin Pieper and Boris Vexler",

note = "Publisher Copyright: {\textcopyright} 2019 Society for Industrial and Applied Mathematics.",

year = "2019",

doi = "10.1137/18M1166948",

language = "English",

volume = "57",

pages = "129--162",

journal = "SIAM Journal on Control and Optimization",

issn = "0363-0129",

publisher = "Society for Industrial and Applied Mathematics Publications",

number = "1",

}

TY - JOUR

T1 - A priori error estimates for space-time finite element discretization of parabolic time-optimal control problems

AU - Bonifacius, Lucas

AU - Pieper, Konstantin

AU - Vexler, Boris

PY - 2019

Y1 - 2019

N2 - Space-time finite element discretizations of time-optimal control problems governed by linear parabolic PDEs and subject to pointwise control constraints are considered. Optimal a priori error estimates are obtained for the control variable based on a second order sufficient optimality condition.

AB - Space-time finite element discretizations of time-optimal control problems governed by linear parabolic PDEs and subject to pointwise control constraints are considered. Optimal a priori error estimates are obtained for the control variable based on a second order sufficient optimality condition.

KW - Error estimates

KW - Galerkin method

KW - Time-optimal control

UR - https://www.scopus.com/pages/publications/85062717288

U2 - 10.1137/18M1166948

DO - 10.1137/18M1166948

M3 - Article

AN - SCOPUS:85062717288

SN - 0363-0129

VL - 57

SP - 129

EP - 162

JO - SIAM Journal on Control and Optimization

JF - SIAM Journal on Control and Optimization

IS - 1

ER -

A priori error estimates for space-time finite element discretization of parabolic time-optimal control problems

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this