Adaptive SIPG method for approximations of parabolic boundary control problems with bilateral box constraints on Neumann boundary

Saved in:
Bibliographic Details
Published inApplied numerical mathematics
Main Authors Manohar, Ram, Rathish Kumar, B.V., Buda, Kedarnath, Sinha, Rajen Kumar
Format Journal Article
LanguageEnglish
Published 01.08.2025
Online AccessGet full text

Cover

Author Rathish Kumar, B.V.
Buda, Kedarnath
Manohar, Ram
Sinha, Rajen Kumar
Author_xml – sequence: 1
  givenname: Ram
  orcidid: 0000-0002-4161-8806
  surname: Manohar
  fullname: Manohar, Ram
– sequence: 2
  givenname: B.V.
  surname: Rathish Kumar
  fullname: Rathish Kumar, B.V.
– sequence: 3
  givenname: Kedarnath
  surname: Buda
  fullname: Buda, Kedarnath
– sequence: 4
  givenname: Rajen Kumar
  orcidid: 0000-0002-5910-8943
  surname: Sinha
  fullname: Sinha, Rajen Kumar
BookMark eNo9kM1KAzEUhbOoYFt9Ajd5gRnvZCbzsyxFa6GoYPchk2RoykwyJKm2S9_cTBVXl8P9OHC-BZoZaxRCDxmkGWTl4zHlozkNKQFCU6hTADJD8_ipk4ZUxS1aeH8EAEoLmKPvleRj0J8Kf2zfN3hQ4WAl7qzDfBydPeuBB22Nx7bDI3e8tb0WuLUnI7m7YGFNcLbHEW17NXj8pcMBt7rnQTneR_A8MT44rk2ILQa_qtPAjfnvuEM3He-9uv-7S7R_ftqvX5Ld22a7Xu0S0dQkUUrQOpOkFAKgpQ0tRTYFmscloihqoB2p8lxUsisjKqEoRCvzphMVbwDyJcp_a4Wz3jvVsdHFce7CMmCTOHZkV3FsEsegZlFc_gMusGpp
Cites_doi 10.1137/070680576
10.1163/156939506776382139
10.1080/02331934.2013.801474
10.1137/060665993
10.1137/S1052623401383558
10.1016/j.cam.2008.01.006
10.1137/130909251
10.1007/978-3-7643-7721-2_3
10.1137/S0036142999360044
10.1137/S0363012999351097
10.1023/A:1011504001479
10.1016/j.camwa.2024.01.004
10.1137/05063979X
10.1007/s10589-011-9440-0
10.1137/070704599
10.1007/s10589-008-9200-y
10.1016/j.jmaa.2024.128109
10.1016/j.apnum.2018.09.015
10.1016/j.mcm.2005.03.007
10.1007/s10915-022-01788-w
10.1137/110826953
10.1007/s10915-021-01645-2
10.1051/cocv:2007057
10.1137/0715049
10.1137/090761823
10.1002/oca.2312
10.1023/A:1011130501691
10.1137/S0036142999352187
10.1137/S0036142901384162
ContentType Journal Article
DBID AAYXX
CITATION
DOI 10.1016/j.apnum.2025.08.002
DatabaseName CrossRef
DatabaseTitle CrossRef
DeliveryMethod fulltext_linktorsrc
Discipline Applied Sciences
ExternalDocumentID 10_1016_j_apnum_2025_08_002
GroupedDBID --K
--M
-~X
.DC
.~1
0R~
1B1
1RT
1~.
1~5
23M
4.4
457
4G.
5GY
5VS
7-5
71M
8P~
9JN
AAEDT
AAEDW
AAIKJ
AAKOC
AALRI
AAOAW
AAQFI
AAQXK
AATTM
AAXKI
AAXUO
AAYWO
AAYXX
ABAOU
ABEFU
ABJNI
ABMAC
ABWVN
ABXDB
ACDAQ
ACGFS
ACRLP
ACRPL
ACVFH
ADBBV
ADCNI
ADEZE
ADGUI
ADIYS
ADMUD
ADNMO
AEBSH
AEIPS
AEKER
AENEX
AEUPX
AFFNX
AFJKZ
AFPUW
AFTJW
AGCQF
AGHFR
AGQPQ
AGUBO
AGYEJ
AHHHB
AI.
AIEXJ
AIGII
AIGVJ
AIIUN
AIKHN
AITUG
AKBMS
AKRWK
AKYEP
ALMA_UNASSIGNED_HOLDINGS
AMRAJ
ANKPU
APXCP
ARUGR
ASPBG
AVWKF
AXJTR
AZFZN
BKOJK
BLXMC
CITATION
CS3
EBS
EFJIC
EFKBS
EJD
EO8
EO9
EP2
EP3
F5P
FDB
FEDTE
FGOYB
FIRID
FNPLU
FYGXN
G-2
G-Q
GBLVA
HMJ
HVGLF
HZ~
IHE
J1W
KOM
M26
M41
MHUIS
MO0
N9A
O-L
O9-
OAUVE
OZT
P-8
P-9
P2P
PC.
Q38
R2-
RNS
ROL
RPZ
SDF
SDG
SDP
SES
SEW
SME
SPC
SPCBC
SSW
SSZ
T5K
TN5
VH1
VOH
WH7
WUQ
XPP
ZMT
~02
~G-
ID FETCH-LOGICAL-c982-eec581d26cc00b5956c126cc53005c44805f2733c7df6c58d044cbd39fc7a9003
ISSN 0168-9274
IngestDate Thu Aug 21 00:23:10 EDT 2025
IsPeerReviewed true
IsScholarly true
Language English
LinkModel OpenURL
MergedId FETCHMERGED-LOGICAL-c982-eec581d26cc00b5956c126cc53005c44805f2733c7df6c58d044cbd39fc7a9003
ORCID 0000-0002-4161-8806
0000-0002-5910-8943
ParticipantIDs crossref_primary_10_1016_j_apnum_2025_08_002
PublicationCentury 2000
PublicationDate 2025-8-00
PublicationDateYYYYMMDD 2025-08-01
PublicationDate_xml – month: 08
  year: 2025
  text: 2025-8-00
PublicationDecade 2020
PublicationTitle Applied numerical mathematics
PublicationYear 2025
References Hesthaven (10.1016/j.apnum.2025.08.002_bib0030) 2008
Liu (10.1016/j.apnum.2025.08.002_bib0011) 2001; 39
Yücel (10.1016/j.apnum.2025.08.002_bib0019) 2014; 63
Karakashian (10.1016/j.apnum.2025.08.002_bib0033) 2007; 45
Lions (10.1016/j.apnum.2025.08.002_bib0006) 1972
Babuska (10.1016/j.apnum.2025.08.002_bib0010) 1978; 15
Manohar (10.1016/j.apnum.2025.08.002_bib0015) 2024; 158
Parra-Guevara (10.1016/j.apnum.2025.08.002_bib0009) 2006; 43
S. M. Lee (10.1016/j.apnum.2025.08.002_bib0008) 2001; 1
Liu (10.1016/j.apnum.2025.08.002_bib0043) 2000; 35
K. G. Siebert (10.1016/j.apnum.2025.08.002_bib0023) 2014
G. Kanschat (10.1016/j.apnum.2025.08.002_bib0031) 2009; 47
J. Chapman (10.1016/j.apnum.2025.08.002_bib0039) 2014; 11
Mohammadi (10.1016/j.apnum.2025.08.002_bib0007) 2001
Kanschat (10.1016/j.apnum.2025.08.002_bib0032) 2007
A. Rösch (10.1016/j.apnum.2025.08.002_bib0004) 2014; 52
Brenner (10.1016/j.apnum.2025.08.002_bib0040) 2002
Verfurth (10.1016/j.apnum.2025.08.002_bib0042) 1996
R. H. Nochetto (10.1016/j.apnum.2025.08.002_bib0036) 2000; 38
H. Kapp (10.1016/j.apnum.2025.08.002_bib0012) 2000; 39
Shakya (10.1016/j.apnum.2025.08.002_bib0025) 2017; 38
R. H. W. Hoppe (10.1016/j.apnum.2025.08.002_bib0001) 2008; 14
Casas (10.1016/j.apnum.2025.08.002_bib0002) 2012; 52
Shakya (10.1016/j.apnum.2025.08.002_bib0024) 2024; 534
Hintermüller (10.1016/j.apnum.2025.08.002_bib0021) 2010; 48
Leykekhman (10.1016/j.apnum.2025.08.002_bib0028) 2012; 50
K. Ito (10.1016/j.apnum.2025.08.002_bib0038) 2002; 13
Rivière (10.1016/j.apnum.2025.08.002_bib0034) 2008
Shakya (10.1016/j.apnum.2025.08.002_bib0026) 2019; 136
Y. Iliash (10.1016/j.apnum.2025.08.002_bib0022) 2007; 155
Benedix (10.1016/j.apnum.2025.08.002_bib0020) 2009; 44
Liu (10.1016/j.apnum.2025.08.002_bib0027) 2009; 47
Adams (10.1016/j.apnum.2025.08.002_bib0037) 2003
Lions (10.1016/j.apnum.2025.08.002_bib0005) 1971
Manohar (10.1016/j.apnum.2025.08.002_bib0016) 2021; 89
Hinze (10.1016/j.apnum.2025.08.002_bib0003) 2009; 38
N. Yan (10.1016/j.apnum.2025.08.002_bib0013) 2009; 27
Y. Iliash (10.1016/j.apnum.2025.08.002_bib0014) 2006; 14
F. Brezzi (10.1016/j.apnum.2025.08.002_bib0029) 2002; 39
W. N. Jureidini (10.1016/j.apnum.2025.08.002_bib0041) 1990; 27
Ainsworth (10.1016/j.apnum.2025.08.002_bib0035) 2007; 45
Manohar (10.1016/j.apnum.2025.08.002_bib0017) 2022; 91
Yan (10.1016/j.apnum.2025.08.002_bib0018) 2009; 223
References_xml – volume: 47
  start-page: 1886
  year: 2009
  ident: 10.1016/j.apnum.2025.08.002_bib0027
  article-title: Local a posteriori error estimates for convex boundary control problems
  publication-title: SIAM J. Numer. Anal.
  doi: 10.1137/070680576
– volume: 14
  start-page: 57
  year: 2006
  ident: 10.1016/j.apnum.2025.08.002_bib0014
  article-title: A posteriori error estimates for adaptive finite element discretizations of boundary control problems
  publication-title: J. Numer. Math.
  doi: 10.1163/156939506776382139
– year: 2007
  ident: 10.1016/j.apnum.2025.08.002_bib0032
– year: 1996
  ident: 10.1016/j.apnum.2025.08.002_bib0042
– volume: 38
  start-page: 577
  year: 2009
  ident: 10.1016/j.apnum.2025.08.002_bib0003
  article-title: A note on variational discretization of elliptic Neumann boundary control
  publication-title: Control Cybern.
– year: 2003
  ident: 10.1016/j.apnum.2025.08.002_bib0037
– volume: 27
  start-page: 237
  year: 2009
  ident: 10.1016/j.apnum.2025.08.002_bib0013
  article-title: Variational discretization for optimal control governed by convection dominated diffusion equations
  publication-title: J. Comput. Math.
– volume: 63
  start-page: 145
  year: 2014
  ident: 10.1016/j.apnum.2025.08.002_bib0019
  article-title: Adaptive symmetric interior penalty Galerkin (SIPG) method for optimal control of convection diffusion equations with control constraints
  publication-title: Optimization
  doi: 10.1080/02331934.2013.801474
– volume: 45
  start-page: 1777
  year: 2007
  ident: 10.1016/j.apnum.2025.08.002_bib0035
  article-title: A posteriori error estimation for discontinuous Galerkin finite element approximation
  publication-title: SIAM J. Numer. Anal.
  doi: 10.1137/060665993
– volume: 13
  start-page: 865
  year: 2002
  ident: 10.1016/j.apnum.2025.08.002_bib0038
  article-title: The primal-dual active set strategy as a semi-smooth Newton method
  publication-title: SIAM J. Optim.
  doi: 10.1137/S1052623401383558
– year: 2008
  ident: 10.1016/j.apnum.2025.08.002_bib0034
– volume: 223
  start-page: 198
  year: 2009
  ident: 10.1016/j.apnum.2025.08.002_bib0018
  article-title: A priori and a posteriori error analysis of edge stabilization Galerkin method for the optimal control problem governed by convection dominated diffusion equation
  publication-title: J. Comput. Appl. Math.
  doi: 10.1016/j.cam.2008.01.006
– volume: 52
  start-page: 1832
  year: 2014
  ident: 10.1016/j.apnum.2025.08.002_bib0004
  article-title: A posteriori error analysis of optimal control problems with control constraints
  publication-title: SIAM J. Control. Optim.
  doi: 10.1137/130909251
– year: 1972
  ident: 10.1016/j.apnum.2025.08.002_bib0006
– volume: 155
  start-page: 47
  year: 2007
  ident: 10.1016/j.apnum.2025.08.002_bib0022
  article-title: Convergence analysis of an adaptive finite element method for distributed control problems with control constraints
  publication-title: Control of Coupled Partial Differential Equations Birkhäuser, Basel
  doi: 10.1007/978-3-7643-7721-2_3
– volume: 38
  start-page: 466
  year: 2000
  ident: 10.1016/j.apnum.2025.08.002_bib0036
  article-title: Data oscillation and convergence of adaptive FEM
  publication-title: SIAM J Numer Anal.
  doi: 10.1137/S0036142999360044
– year: 2002
  ident: 10.1016/j.apnum.2025.08.002_bib0040
– volume: 39
  start-page: 113
  year: 2000
  ident: 10.1016/j.apnum.2025.08.002_bib0012
  article-title: Adaptive finite element methods for optimal control of partial differential equations: Basic concept
  publication-title: SIAM J. Control Optim.
  doi: 10.1137/S0363012999351097
– volume: 1
  start-page: 107
  year: 2001
  ident: 10.1016/j.apnum.2025.08.002_bib0008
  article-title: Urbanfluid mechanics: Air circulation and contaminant dispersion in cities
  publication-title: Environ. Fluid Mech.
  doi: 10.1023/A:1011504001479
– volume: 158
  start-page: 102
  year: 2024
  ident: 10.1016/j.apnum.2025.08.002_bib0015
  article-title: Error analysis for finite element approximation of parabolic Neumann boundary control problems
  publication-title: Comput. Math. Appl.
  doi: 10.1016/j.camwa.2024.01.004
– year: 2008
  ident: 10.1016/j.apnum.2025.08.002_bib0030
– volume: 45
  start-page: 641
  year: 2007
  ident: 10.1016/j.apnum.2025.08.002_bib0033
  article-title: Convergence of adaptive discontinuous Galerkin approximations of second-order elliptic problems
  publication-title: SIAM J. Numer. Anal.
  doi: 10.1137/05063979X
– volume: 52
  start-page: 719
  year: 2012
  ident: 10.1016/j.apnum.2025.08.002_bib0002
  article-title: Error estimates for the numerical approximation of Neumann control problems governed by a class of quasilinear elliptic equations
  publication-title: Comput. Optim. App.
  doi: 10.1007/s10589-011-9440-0
– volume: 47
  start-page: 534
  year: 2009
  ident: 10.1016/j.apnum.2025.08.002_bib0031
  article-title: Convergence analysis of an adaptive interior penalty discontinuous Galerkin method
  publication-title: SIAM J. Numer. Anal.
  doi: 10.1137/070704599
– volume: 44
  start-page: 3
  year: 2009
  ident: 10.1016/j.apnum.2025.08.002_bib0020
  article-title: A posteriori error estimation and adaptivity for elliptic optimal control problems with state constraints
  publication-title: Comput. Optim. Appl.
  doi: 10.1007/s10589-008-9200-y
– volume: 534
  start-page: 109
  year: 2024
  ident: 10.1016/j.apnum.2025.08.002_bib0024
  article-title: Error analysis for the finite element approximations of Dirichlet parabolic boundary control problem with measure data
  publication-title: J. Math. Anal. Appl.
  doi: 10.1016/j.jmaa.2024.128109
– volume: 136
  start-page: 23
  year: 2019
  ident: 10.1016/j.apnum.2025.08.002_bib0026
  article-title: A posteriori error analysis for finite element approximations of parabolic optimal control problems with measure data
  publication-title: Appl. Numer. Math.
  doi: 10.1016/j.apnum.2018.09.015
– volume: 11
  start-page: 478
  year: 2014
  ident: 10.1016/j.apnum.2025.08.002_bib0039
  article-title: On local super-penalization of interior penalty discontinuous Galerkin methods
  publication-title: Int. J. Numer. Anal. Model.
– volume: 43
  start-page: 766
  year: 2006
  ident: 10.1016/j.apnum.2025.08.002_bib0009
  article-title: On optimal solution of an inverse air pollution problem: Theory and numerical approach
  publication-title: Math. Comput. Model.
  doi: 10.1016/j.mcm.2005.03.007
– volume: 91
  start-page: 1
  year: 2022
  ident: 10.1016/j.apnum.2025.08.002_bib0017
  article-title: Local a Posteriori Error Analysis of Finite Element Method for Parabolic Boundary Control Problems
  publication-title: J. Sci. Comput.
  doi: 10.1007/s10915-022-01788-w
– volume: 50
  start-page: 2012
  year: 2012
  ident: 10.1016/j.apnum.2025.08.002_bib0028
  article-title: Local error analysis of discontinuous Galerkin methods for advection-dominated elliptic linear-quadratic optimal control problems
  publication-title: SIAM J. Numer. Anal.
  doi: 10.1137/110826953
– volume: 89
  start-page: 1
  year: 2021
  ident: 10.1016/j.apnum.2025.08.002_bib0016
  article-title: A posteriori error estimates for parabolic optimal control problems with controls acting on lower dimensional manifolds
  publication-title: J. Sci. Comput.
  doi: 10.1007/s10915-021-01645-2
– volume: 14
  start-page: 540
  year: 2008
  ident: 10.1016/j.apnum.2025.08.002_bib0001
  article-title: An a posteriori error analysis of adaptive finite element methods for distributed elliptic control problems with control constraints
  publication-title: ESAIM Control Optim. Calc. Var.
  doi: 10.1051/cocv:2007057
– volume: 15
  start-page: 736
  year: 1978
  ident: 10.1016/j.apnum.2025.08.002_bib0010
  article-title: Error estimates for adaptive finite element computations
  publication-title: SIAM J. Numer. Anal.
  doi: 10.1137/0715049
– volume: 48
  start-page: 5468
  year: 2010
  ident: 10.1016/j.apnum.2025.08.002_bib0021
  article-title: Goal-oriented adaptivity in pointwise state constrained optimal control of partial differential equations
  publication-title: SIAM J. Control Optim.
  doi: 10.1137/090761823
– volume: 38
  start-page: 1056
  year: 2017
  ident: 10.1016/j.apnum.2025.08.002_bib0025
  article-title: A priori and a posteriori error estimates of H1−Galerkin mixed finite element method for parabolic optimal control problems
  publication-title: Optim. Control Appl. Methods
  doi: 10.1002/oca.2312
– volume: 35
  start-page: 361
  year: 2000
  ident: 10.1016/j.apnum.2025.08.002_bib0043
  article-title: A posteriori error estimators for a class of variational inequalities
  publication-title: J. Sci. Comput.
  doi: 10.1023/A:1011130501691
– volume: 27
  start-page: 1749
  year: 1990
  ident: 10.1016/j.apnum.2025.08.002_bib0041
  article-title: Piecewise solenoidal vector fields and the Stokes problem
  publication-title: SIAM J. Numer. Anal.
– year: 2001
  ident: 10.1016/j.apnum.2025.08.002_bib0007
– year: 1971
  ident: 10.1016/j.apnum.2025.08.002_bib0005
– start-page: 403
  year: 2014
  ident: 10.1016/j.apnum.2025.08.002_bib0023
  article-title: Convergence of adaptive finite elements for optimal control problems with control constraints
  publication-title: Trends in PDE Constrained Optimization, Springer, Cham, Switzerland
– volume: 39
  start-page: 73
  year: 2001
  ident: 10.1016/j.apnum.2025.08.002_bib0011
  article-title: A posteriori error estimates for convex boundary control problems
  publication-title: SIAM J. Numer. Anal.
  doi: 10.1137/S0036142999352187
– volume: 39
  start-page: 1749
  year: 2002
  ident: 10.1016/j.apnum.2025.08.002_bib0029
  article-title: Unified analysis of discontinuous Galerkin methods for elliptic problems
  publication-title: SIAM J. Numer. Anal.
  doi: 10.1137/S0036142901384162
SSID ssj0005540
Score 2.414229
SourceID crossref
SourceType Index Database
Title Adaptive SIPG method for approximations of parabolic boundary control problems with bilateral box constraints on Neumann boundary
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LT9tAEF5FcOHSF1QtfWgOvaW2Nn4lOVLUllYCoRIQN2t37RWJkk0EiZSCVIl_zox3vTEPIejFSqz12Ml8Ws_jmxnGvnBBTc4iESSyzwPqgBX0daqDSPFMoVNUqIJqh_cPsr3j5PdpetpqXTWrS-YyVJcP1pX8j1bxHOqVqmSfoVkvFE_gZ9QvHlHDeHySjncKMauoP0e_Dn-6YdCWFkmdwpfDyYrnRi2-JfUAbstqkNL5X89SdzNlXJ2bHI4FVSWPceGS1lxUUyRsWuGgpJi_8TKapm1tz5qFTQKN2xPfEtYb7vvCTM8cp1tMVkkmGot81vZ872_hSegDBYvClq2VeEcK9fug0NDYbNUfMSqNvbgZxIhST6Hzcc0M993IDuy5t6vbAMMoFDP8CSFdH1oK7OolVifu77zbPOOwJrON8kpITkJyGsBJjUjXI_QxaPxF-K_BD0qralr_ZHXLqooceO9JGmZNwz4ZvGIvnGMBOxYlr1mrNG_YS6cUcFv4xSa7rkEDBBqwoAEEDdwGDUw1eNBArXBwoIEaNECgAQ8aXLiEBmhgasCBxsvYYoMf3we7e4GbwxGoPvpfZalS9GqiTCnOZYoOterQl5QmHSh073mq0QiOVbfQGS4teJIoWcR9rbqCAuVv2ZqZmvIdg26nm-leotBt1onmGUqTgse9uCPinozke_a1_hfzme22kj-iue3nLf_ANlbY-8jW5ueL8hOalHP5uVL9DSvmfcE
linkProvider Elsevier
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Adaptive+SIPG+method+for+approximations+of+parabolic+boundary+control+problems+with+bilateral+box+constraints+on+Neumann+boundary&rft.jtitle=Applied+numerical+mathematics&rft.au=Manohar%2C+Ram&rft.au=Rathish+Kumar%2C+B.V.&rft.au=Buda%2C+Kedarnath&rft.au=Sinha%2C+Rajen+Kumar&rft.date=2025-08-01&rft.issn=0168-9274&rft_id=info:doi/10.1016%2Fj.apnum.2025.08.002&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_j_apnum_2025_08_002
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0168-9274&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0168-9274&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0168-9274&client=summon