Discontinuous Galerkin Finite Element Method with Interior Penalties for Convection Diffusion Optimal Control Problem

Journal Home
Volume 21 - 2024
- Vol. 21, Issue 6 pp.793-932
- Vol. 21, Issue 5 pp.609-792
- Vol. 21, Issue 4 pp.459-608
- Vol. 21, Issue 3 pp.315-458
- Vol. 21, Issue 2 pp.165-314
- Vol. 21, Issue 1 pp.1-164
Volume 20 - 2023
- Vol. 20, Issue 6 pp.739-895
- Vol. 20, Issue 5 pp.597-738
- Vol. 20, Issue 4 pp.459-595
- Vol. 20, Issue 3 pp.313-458
- Vol. 20, Issue 2 pp.153-312
- Vol. 20, Issue 1 pp.1-151
Volume 19 - 2022
- Vol. 19, Issue 6 pp.739-906
- Vol. 19, Issue 5 pp.603-737
- Vol. 19, Issue 4 pp.439-601
- Vol. 19, Issue 2-3 pp.157-438
- Vol. 19, Issue 1 pp.1-155
Volume 18 - 2021
- Vol. 18, Issue 6 pp.723-880
- Vol. 18, Issue 5 pp.569-721
- Vol. 18, Issue 4 pp.426-568
- Vol. 18, Issue 3 pp.287-425
- Vol. 18, Issue 2 pp.143-286
- Vol. 18, Issue 1 pp.1-141
Volume 17 - 2020
- Vol. 17, Issue 6 pp.767-928
- Vol. 17, Issue 5 pp.613-765
- Vol. 17, Issue 4 pp.457-612
- Vol. 17, Issue 3 pp.297-456
- Vol. 17, Issue 2 pp.151-296
- Vol. 17, Issue 1 pp.1-150
Volume 16 - 2019
- Vol. 16, Issue 6 pp.847-984
- Vol. 16, Issue 5 pp.681-846
- Vol. 16, Issue 4 pp.519-679
- Vol. 16, Issue 3 pp.375-518
- Vol. 16, Issue 2 pp.167-374
- Vol. 16, Issue 1 pp.1-166
Volume 15 - 2018
- Vol. 15, Issue 6 pp.747-918
- Vol. 15, Issue 4-5 pp.479-745
- Vol. 15, Issue 3 pp.307-478
- Vol. 15, Issue 1-2 pp.1-306
Volume 14 - 2017
- Vol. 14, Issue 6 pp.809-962
- Vol. 14, Issue 4-5 pp.477-807
- Vol. 14, Issue 3 pp.313-476
- Vol. 14, Issue 2 pp.153-311
- Vol. 14, Issue 1 pp.1-151
Volume 13 - 2016
- Vol. 13, Issue 6 pp.831-1002
- Vol. 13, Issue 5 pp.657-830
- Vol. 13, Issue 4 pp.493-655
- Vol. 13, Issue 3 pp.319-492
- Vol. 13, Issue 2 pp.179-317
- Vol. 13, Issue 1 pp.1-178
Volume 12 - 2015
- Vol. 12, Issue 4 pp.593-777
- Vol. 12, Issue 3 pp.401-591
- Vol. 12, Issue 2 pp.197-400
- Vol. 12, Issue 1 pp.1-195
Volume 11 - 2014
- Vol. 11, Issue 4 pp.657-865
- Vol. 11, Issue 3 pp.427-656
- Vol. 11, Issue 2 pp.254-426
- Vol. 11, Issue 1 pp.1-253
Volume 10 - 2013
- Vol. 10, Issue 4 pp.757-991
- Vol. 10, Issue 3 pp.509-755
- Vol. 10, Issue 2 pp.257-507
- Vol. 10, Issue 1 pp.1-256
Volume 9 - 2012
- Vol. 9, Issue 4 pp.777-1024
- Vol. 9, Issue 3 pp.479-776
- Vol. 9, Issue 2 pp.169-478
- Vol. 9, Issue 1 pp.1-168
Volume 8 - 2011
- Vol. 8, Issue 4 pp.543-720
- Vol. 8, Issue 3 pp.365-541
- Vol. 8, Issue 2 pp.189-363
- Vol. 8, Issue 1 pp.1-188
Volume 7 - 2010
- Vol. 7, Issue 4 pp.607-805
- Vol. 7, Issue 3 pp.393-606
- Vol. 7, Issue 2 pp.195-391
- Vol. 7, Issue 1 pp.1-193
Volume 6 - 2009
- Vol. 6, Issue 4 pp.533-723
- Vol. 6, Issue 3 pp.355-531
- Vol. 6, Issue 2 pp.177-353
- Vol. 6, Issue 1 pp.1-176
Volume 5 - 2008
- Vol. 5, Issue 5 pp.1-170
- Vol. 5, Issue 4 pp.527-748
- Vol. 5, Issue 3 pp.353-526
- Vol. 5, Issue 2 pp.167-351
- Vol. 5, Issue 1 pp.1-166
Volume 4 - 2007
- Vol. 4, Issue 3-4 pp.307-743
- Vol. 4, Issue 2 pp.143-305
- Vol. 4, Issue 1 pp.1-142
Volume 3 - 2006
- Vol. 3, Issue 4 pp.377-524
- Vol. 3, Issue 3 pp.255-376
- Vol. 3, Issue 2 pp.125-254
- Vol. 3, Issue 1 pp.1-124
Volume 2 - 2005
- Vol. 2, Issue 4 pp.367-488
- Vol. 2, Issue 3 pp.241-366
- Vol. 2, Issue 2 pp.127-239
- Vol. 2, Issue 1 pp.1-126
- Vol. 2, Issue 0 pp.1-208
Volume 1 - 2004
- Vol. 1, Issue 2 pp.111-215
- Vol. 1, Issue 1 pp.1-110

Volume 7, Issue 1

T. Sun

Int. J. Numer. Anal. Mod., 7 (2010), pp. 87-107.

Published online: 2010-07

Preview Full PDF 2740 23439

Cited by

google scholar semantic scholar

Export citation

Abstract

In this paper, a discontinuous Galerkin finite element method with interior penalties for convection-diffusion optimal control problem is studied. A semi-discrete time DG scheme for this problem is presented. We analyze the stability of this scheme, and derive a priori and a posteriori error estimates for both the state and the control approximation.

Keywords

Discontinuous Galerkin method, convection-diffusion equation, optimal control problem, a priori error estimates, a posteriori error estimates.

AMS Subject Headings

65N30, 49J20

Email address

BibTex
RIS
TXT

@Article{IJNAM-7-87, author = {T. Sun}, title = {Discontinuous Galerkin Finite Element Method with Interior Penalties for Convection Diffusion Optimal Control Problem}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2010}, volume = {7}, number = {1}, pages = {87--107}, abstract = {

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/711.html} }

TY - JOUR T1 - Discontinuous Galerkin Finite Element Method with Interior Penalties for Convection Diffusion Optimal Control Problem AU - T. Sun JO - International Journal of Numerical Analysis and Modeling VL - 1 SP - 87 EP - 107 PY - 2010 DA - 2010/07 SN - 7 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/711.html KW - Discontinuous Galerkin method, convection-diffusion equation, optimal control problem, a priori error estimates, a posteriori error estimates. AB -

T. Sun. (2010). Discontinuous Galerkin Finite Element Method with Interior Penalties for Convection Diffusion Optimal Control Problem. International Journal of Numerical Analysis and Modeling. 7 (1). 87-107. doi:

Copy to clipboard

BibteX RIS TXT

The citation has been copied to your clipboard

- LOGIN -

- E-mail verification -

- REGISTER -