@Article{NMTMA-7-123,
author = {Stefano Giani and Paul Houston},
title = {Domain Decomposition Preconditioners for Discontinuous Galerkin Discretizations of Compressible Fluid Flows},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2014},
volume = {7},
number = {2},
pages = {123--148},
abstract = {<p style="text-align: justify;">In this article we consider the application of Schwarz-type domain decomposition preconditioners
to the discontinuous Galerkin finite element approximation of the compressible
Navier-Stokes equations. To discretize this system of conservation laws,
 we exploit the (adjoint consistent) symmetric version of the
interior penalty discontinuous Galerkin finite element method.
To define the necessary coarse-level solver required for the definition
of the proposed preconditioner, we exploit ideas from composite finite
element methods, which allow for the definition of finite element schemes
on general meshes consisting of polygonal (agglomerated) elements.
The practical performance of the proposed preconditioner is demonstrated for a
series of viscous test cases in both two- and three-dimensions.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.2014.1311nm},
url = {http://global-sci.org/intro/article_detail/nmtma/5868.html}
}