Paper Info
Title
An embedded-hybridized discontinuous Galerkin method for the coupled Stokes-Darcy system.
Abstract
We introduce an embedded–hybridized discontinuous Galerkin (EDG–HDG) method for the coupled Stokes–Darcy system. This EDG–HDG method is a pointwise mass-conserving discretization resulting in a divergence-conforming velocity field on the whole domain. In the proposed scheme, coupling between the Stokes and Darcy domains is achieved naturally through the EDG–HDG facet variables. A priori error analysis shows optimal convergence rates, and that the velocity error does not depend on the pressure. The error analysis is verified through numerical examples on unstructured grids for different orders of polynomial approximation.
Year
DOI
Venue
2019
10.1016/j.cam.2019.112476
Journal of Computational and Applied Mathematics
Keywords
Field
DocType
65N12,65N15,65N30,76D07,76S99
Discontinuous Galerkin method,Convergence (routing),Discretization,Coupling,Polynomial,Vector field,Mathematical analysis,A priori and a posteriori,Mathematics,Pointwise
Journal
Volume
ISSN
Citations 
367
0377-0427
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Aycil Cesmelioglu1402.74
Sander Rhebergen2486.09
Garth N. Wells320220.08