Analysis of an Embedded Discontinuous Galerkin Method with Implicit-Explicit Time-Marching for Convection-Diffusion Problems

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 14, Issue 4-5

Guosheng Fu & Chi-Wang Shu

Int. J. Numer. Anal. Mod., 14 (2017), pp. 477-499.

Published online: 2017-08

Preview Purchase PDF 1742 25269

Cited by

google scholar semantic scholar

Export citation

Abstract

In this paper, we analyze implicit-explicit (IMEX) Runge-Kutta (RK) time discretization methods for solving linear convection-diffusion equations. The diffusion operator is treated implicitly via the embedded discontinuous Galerkin (EDG) method and the convection operator explicitly via the upwinding discontinuous Galerkin method.

Keywords

Embedded discontinuous Galerkin method, upwinding discontinuous Galerkin method, implicit-explicit Runge-Kutta time-marching scheme, convection-diffusion equation, stability, error estimate, energy method.

AMS Subject Headings

65M12, 65M15, 65M60

Email address

BibTex
RIS
TXT

@Article{IJNAM-14-477, author = {Guosheng Fu and Chi-Wang Shu}, title = {Analysis of an Embedded Discontinuous Galerkin Method with Implicit-Explicit Time-Marching for Convection-Diffusion Problems}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2017}, volume = {14}, number = {4-5}, pages = {477--499}, abstract = {

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/10045.html} }

TY - JOUR T1 - Analysis of an Embedded Discontinuous Galerkin Method with Implicit-Explicit Time-Marching for Convection-Diffusion Problems AU - Guosheng Fu & Chi-Wang Shu JO - International Journal of Numerical Analysis and Modeling VL - 4-5 SP - 477 EP - 499 PY - 2017 DA - 2017/08 SN - 14 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/10045.html KW - Embedded discontinuous Galerkin method, upwinding discontinuous Galerkin method, implicit-explicit Runge-Kutta time-marching scheme, convection-diffusion equation, stability, error estimate, energy method. AB -

Guosheng Fu and Chi-Wang Shu. (2017). Analysis of an Embedded Discontinuous Galerkin Method with Implicit-Explicit Time-Marching for Convection-Diffusion Problems. International Journal of Numerical Analysis and Modeling. 14 (4-5). 477-499. doi:

Copy to clipboard

BibteX RIS TXT

The citation has been copied to your clipboard

- LOGIN -

- E-mail verification -

- REGISTER -