Nonlinear Schwarz Preconditioning for Nonlinear Optimization Problems with Bound Constraints

Hardik Kothari; Alena Kopanicáková; Rolf Krause

doi:10.1007/978-3-031-50769-4_38

Nonlinear Schwarz Preconditioning for Nonlinear Optimization Problems with Bound Constraints

Hardik Kothari^*, Alena Kopanicáková, Rolf Krause

^*Corresponding author for this work

Applied Mathematics and Computational Science

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

Abstract

We consider a Lipschitz domain Ω C R^d, d = 23 and a triangulation T on Ω.

Original language	English (US)
Title of host publication	Domain Decomposition Methods in Science and Engineering XXVII
Editors	Zdenek Dostal, Tomas Kozubek, Axel Klawonn, Luca F. Pavarino, Olof B. Widlund, Ulrich Langer, Jakub Sístek
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	319-326
Number of pages	8
ISBN (Print)	9783031507687
DOIs	https://doi.org/10.1007/978-3-031-50769-4_38
State	Published - 2024
Event	27th International Conference on Domain Decomposition Methods in Science and Engineering, DD 2022 - Prague, Czech Republic Duration: Jul 25 2022 → Jul 29 2022

Publication series

Name	Lecture Notes in Computational Science and Engineering
Volume	149
ISSN (Print)	1439-7358
ISSN (Electronic)	2197-7100

Conference

Conference	27th International Conference on Domain Decomposition Methods in Science and Engineering, DD 2022
Country/Territory	Czech Republic
City	Prague
Period	07/25/22 → 07/29/22

ASJC Scopus subject areas

Modeling and Simulation
General Engineering
Discrete Mathematics and Combinatorics
Control and Optimization
Computational Mathematics

Access to Document

10.1007/978-3-031-50769-4_38

Cite this

Kothari, H., Kopanicáková, A., & Krause, R. (2024). Nonlinear Schwarz Preconditioning for Nonlinear Optimization Problems with Bound Constraints. In Z. Dostal, T. Kozubek, A. Klawonn, L. F. Pavarino, O. B. Widlund, U. Langer, & J. Sístek (Eds.), Domain Decomposition Methods in Science and Engineering XXVII (pp. 319-326). (Lecture Notes in Computational Science and Engineering; Vol. 149). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-031-50769-4_38

Kothari, Hardik ; Kopanicáková, Alena ; Krause, Rolf. / Nonlinear Schwarz Preconditioning for Nonlinear Optimization Problems with Bound Constraints. Domain Decomposition Methods in Science and Engineering XXVII. editor / Zdenek Dostal ; Tomas Kozubek ; Axel Klawonn ; Luca F. Pavarino ; Olof B. Widlund ; Ulrich Langer ; Jakub Sístek. Springer Science and Business Media Deutschland GmbH, 2024. pp. 319-326 (Lecture Notes in Computational Science and Engineering).

@inproceedings{9581505589284885b23001e684195e25,

title = "Nonlinear Schwarz Preconditioning for Nonlinear Optimization Problems with Bound Constraints",

abstract = "We consider a Lipschitz domain Ω C Rd, d = 23 and a triangulation T on Ω.",

author = "Hardik Kothari and Alena Kopanic{\'a}kov{\'a} and Rolf Krause",

note = "Publisher Copyright: {\textcopyright} 2024, The Author(s), under exclusive license to Springer Nature Switzerland AG.; 27th International Conference on Domain Decomposition Methods in Science and Engineering, DD 2022 ; Conference date: 25-07-2022 Through 29-07-2022",

year = "2024",

doi = "10.1007/978-3-031-50769-4_38",

language = "English (US)",

isbn = "9783031507687",

series = "Lecture Notes in Computational Science and Engineering",

publisher = "Springer Science and Business Media Deutschland GmbH",

pages = "319--326",

editor = "Zdenek Dostal and Tomas Kozubek and Axel Klawonn and Pavarino, {Luca F.} and Widlund, {Olof B.} and Ulrich Langer and Jakub S{\'i}stek",

booktitle = "Domain Decomposition Methods in Science and Engineering XXVII",

address = "Germany",

}

Kothari, H, Kopanicáková, A & Krause, R 2024, Nonlinear Schwarz Preconditioning for Nonlinear Optimization Problems with Bound Constraints. in Z Dostal, T Kozubek, A Klawonn, LF Pavarino, OB Widlund, U Langer & J Sístek (eds), Domain Decomposition Methods in Science and Engineering XXVII. Lecture Notes in Computational Science and Engineering, vol. 149, Springer Science and Business Media Deutschland GmbH, pp. 319-326, 27th International Conference on Domain Decomposition Methods in Science and Engineering, DD 2022, Prague, Czech Republic, 07/25/22. https://doi.org/10.1007/978-3-031-50769-4_38

Nonlinear Schwarz Preconditioning for Nonlinear Optimization Problems with Bound Constraints. / Kothari, Hardik; Kopanicáková, Alena; Krause, Rolf.
Domain Decomposition Methods in Science and Engineering XXVII. ed. / Zdenek Dostal; Tomas Kozubek; Axel Klawonn; Luca F. Pavarino; Olof B. Widlund; Ulrich Langer; Jakub Sístek. Springer Science and Business Media Deutschland GmbH, 2024. p. 319-326 (Lecture Notes in Computational Science and Engineering; Vol. 149).

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

TY - GEN

T1 - Nonlinear Schwarz Preconditioning for Nonlinear Optimization Problems with Bound Constraints

AU - Kothari, Hardik

AU - Kopanicáková, Alena

AU - Krause, Rolf

PY - 2024

Y1 - 2024

N2 - We consider a Lipschitz domain Ω C Rd, d = 23 and a triangulation T on Ω.

AB - We consider a Lipschitz domain Ω C Rd, d = 23 and a triangulation T on Ω.

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DO - 10.1007/978-3-031-50769-4_38

M3 - Conference contribution

AN - SCOPUS:85184284041

SN - 9783031507687

T3 - Lecture Notes in Computational Science and Engineering

SP - 319

EP - 326

BT - Domain Decomposition Methods in Science and Engineering XXVII

A2 - Dostal, Zdenek

A2 - Kozubek, Tomas

A2 - Klawonn, Axel

A2 - Pavarino, Luca F.

A2 - Widlund, Olof B.

A2 - Langer, Ulrich

A2 - Sístek, Jakub

PB - Springer Science and Business Media Deutschland GmbH

T2 - 27th International Conference on Domain Decomposition Methods in Science and Engineering, DD 2022

Y2 - 25 July 2022 through 29 July 2022

ER -

Kothari H, Kopanicáková A, Krause R. Nonlinear Schwarz Preconditioning for Nonlinear Optimization Problems with Bound Constraints. In Dostal Z, Kozubek T, Klawonn A, Pavarino LF, Widlund OB, Langer U, Sístek J, editors, Domain Decomposition Methods in Science and Engineering XXVII. Springer Science and Business Media Deutschland GmbH. 2024. p. 319-326. (Lecture Notes in Computational Science and Engineering). doi: 10.1007/978-3-031-50769-4_38

Nonlinear Schwarz Preconditioning for Nonlinear Optimization Problems with Bound Constraints

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