Imperial College London
Alternate

Dr Chris Cantwell

Faculty of Engineering, Department of Aeronautics

Senior Lecturer in Aeronautics
 
 
 
//

Contact

 

+44 (0)20 7594 5050c.cantwell Website

 
 
//

Location

 

Department of Aeronautics, Room 219City and Guilds BuildingSouth Kensington Campus

//

Summary

 

Publications

Citation

BibTex format

@article{Vymazal:2019:10.1016/j.jcp.2019.05.021,
author = {Vymazal, M and Moxey, D and Cantwell, CD and Sherwin, SJ and Kirby, RM},
doi = {10.1016/j.jcp.2019.05.021},
journal = {Journal of Computational Physics},
pages = {732--744},
title = {On weak Dirichlet boundary conditions for elliptic problems in the continuous Galerkin method},
url = {http://dx.doi.org/10.1016/j.jcp.2019.05.021},
volume = {394},
year = {2019}
}
Download

RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We combine continuous and discontinuous Galerkin methods in the setting of a model diffusion problem. Starting from a hybrid discontinuous formulation, we replace element interiors by more general subsets of the computational domain – groups of elements that support a piecewise-polynomial continuous expansion. This step allows us to identify a new weak formulation of Dirichlet boundary condition in the continuous framework. We show that the boundary condition leads to a stable discretization with a single parameter insensitive to mesh size and polynomial order of the expansion. The robustness of the approach is demonstrated on several numerical examples.
AU  - Vymazal,M
AU  - Moxey,D
AU  - Cantwell,CD
AU  - Sherwin,SJ
AU  - Kirby,RM
DO  - 10.1016/j.jcp.2019.05.021
EP  - 744
PY  - 2019///
SN  - 0021-9991
SP  - 732
TI  - On weak Dirichlet boundary conditions for elliptic problems in the continuous Galerkin method
T2  - Journal of Computational Physics
UR  - http://dx.doi.org/10.1016/j.jcp.2019.05.021
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000478572700036&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - https://www.sciencedirect.com/science/article/pii/S0021999119303523?via%3Dihub
UR  - http://hdl.handle.net/10044/1/79531
VL  - 394
ER  -
Download