Numerical methods for the optimal control of scalar conservation laws

Sonja Steffensen; Michael Herty; Lorenzo Pareschi

doi:10.1007/978-3-642-36062-6_14

Numerical methods for the optimal control of scalar conservation laws

Sonja Steffensen^*, Michael Herty, Lorenzo Pareschi

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

5 Citations (Scopus)

Abstract

We are interested in a class of numerical schemes for the optimization of nonlinear hyperbolic partial differential equations. We present continuous and discretized relaxation schemes for scalar, one- conservation laws. We present numerical results on tracking typew problems with nonsmooth desired states and convergence results for higher-order spatial and temporal discretization schemes.

Original language	English
Title of host publication	System Modeling and Optimization. CSMO 2011
Publisher	Springer
Pages	136-144
Number of pages	9
ISBN (Electronic)	9783642360626
ISBN (Print)	9783642360619
DOIs	https://doi.org/10.1007/978-3-642-36062-6_14
Publication status	Published - 2013
Event	25th IFIP TC 7 Conference on System Modeling and Optimization 2011: CSMO 2011 - Berlin, Germany Duration: 12 Sept 2011 → 16 Sept 2011

Publication series

Name	IFIP Advances in Information and Communication Technology
Volume	391
ISSN (Print)	1868-4238

Conference

Conference	25th IFIP TC 7 Conference on System Modeling and Optimization 2011
Country/Territory	Germany
City	Berlin
Period	12/09/11 → 16/09/11

Keywords

conservation laws
IMEX schemes
optimal control
Runge-Kutta methods

ASJC Scopus subject areas

Information Systems
Computer Networks and Communications
Information Systems and Management

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10.1007/978-3-642-36062-6_14

Cite this

@inproceedings{b5115a00e3e14b649fb7ce00ec6b1e96,

title = "Numerical methods for the optimal control of scalar conservation laws",

abstract = "We are interested in a class of numerical schemes for the optimization of nonlinear hyperbolic partial differential equations. We present continuous and discretized relaxation schemes for scalar, one- conservation laws. We present numerical results on tracking typew problems with nonsmooth desired states and convergence results for higher-order spatial and temporal discretization schemes.",

keywords = "conservation laws, IMEX schemes, optimal control, Runge-Kutta methods",

author = "Sonja Steffensen and Michael Herty and Lorenzo Pareschi",

year = "2013",

doi = "10.1007/978-3-642-36062-6\_14",

language = "English",

isbn = "9783642360619",

series = "IFIP Advances in Information and Communication Technology",

publisher = "Springer",

pages = "136--144",

booktitle = "System Modeling and Optimization. CSMO 2011",

note = "25th IFIP TC 7 Conference on System Modeling and Optimization 2011 : CSMO 2011 ; Conference date: 12-09-2011 Through 16-09-2011",

}

Steffensen, S, Herty, M & Pareschi, L 2013, Numerical methods for the optimal control of scalar conservation laws. in System Modeling and Optimization. CSMO 2011. IFIP Advances in Information and Communication Technology, vol. 391, Springer, pp. 136-144, 25th IFIP TC 7 Conference on System Modeling and Optimization 2011, Berlin, Berlin, Germany, 12/09/11. https://doi.org/10.1007/978-3-642-36062-6_14

TY - GEN

T1 - Numerical methods for the optimal control of scalar conservation laws

AU - Steffensen, Sonja

AU - Herty, Michael

AU - Pareschi, Lorenzo

PY - 2013

Y1 - 2013

N2 - We are interested in a class of numerical schemes for the optimization of nonlinear hyperbolic partial differential equations. We present continuous and discretized relaxation schemes for scalar, one- conservation laws. We present numerical results on tracking typew problems with nonsmooth desired states and convergence results for higher-order spatial and temporal discretization schemes.

AB - We are interested in a class of numerical schemes for the optimization of nonlinear hyperbolic partial differential equations. We present continuous and discretized relaxation schemes for scalar, one- conservation laws. We present numerical results on tracking typew problems with nonsmooth desired states and convergence results for higher-order spatial and temporal discretization schemes.

KW - conservation laws

KW - IMEX schemes

KW - optimal control

KW - Runge-Kutta methods

UR - https://www.scopus.com/pages/publications/84874506479

U2 - 10.1007/978-3-642-36062-6_14

DO - 10.1007/978-3-642-36062-6_14

M3 - Conference contribution

AN - SCOPUS:84874506479

SN - 9783642360619

T3 - IFIP Advances in Information and Communication Technology

SP - 136

EP - 144

BT - System Modeling and Optimization. CSMO 2011

PB - Springer

T2 - 25th IFIP TC 7 Conference on System Modeling and Optimization 2011

Y2 - 12 September 2011 through 16 September 2011

ER -

Numerical methods for the optimal control of scalar conservation laws

Abstract

Publication series

Conference

Keywords

ASJC Scopus subject areas

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