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Hp–adaptive discontinuous galerkin methods for porous media flow

Kane, Birane ; Klöfkorn, Robert LU orcid and Gersbacher, Christoph (2017) 8th International Symposium on Finite Volumes for Complex Applications - Hyperbolic, Elliptic and Parabolic Problems, FVCA8 2017 In Springer Proceedings in Mathematics and Statistics 200. p.447-456
Abstract

We present an adaptive Discontinuous Galerkin discretization for the solution of porous media flow problems. The considered flows are immiscible and incompressible. The adaptive approach implemented allows for refinement/coarsening in both the element size and the polynomial degree. The method is evaluated using homogeneous and heterogeneous test cases.

Please use this url to cite or link to this publication:
author
; and
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
keywords
Discontinuous galerkin, DUNE, Fully implicit, Hp-Adaptivity
host publication
Finite Volumes for Complex Applications VIII— Hyperbolic, Elliptic and Parabolic Problems - FVCA8 2017
series title
Springer Proceedings in Mathematics and Statistics
editor
Omnes, Pascal and Cances, Clement
volume
200
pages
10 pages
publisher
Springer
conference name
8th International Symposium on Finite Volumes for Complex Applications - Hyperbolic, Elliptic and Parabolic Problems, FVCA8 2017
conference location
Lille, France
conference dates
2017-06-12 - 2017-06-16
external identifiers
  • scopus:85020382026
ISSN
2194-1017
2194-1009
ISBN
9783319573939
DOI
10.1007/978-3-319-57394-6_47
language
English
LU publication?
no
id
2a734291-3e68-48e6-9011-9e8a3214055b
date added to LUP
2021-02-10 14:01:37
date last changed
2024-03-05 23:01:59
@inproceedings{2a734291-3e68-48e6-9011-9e8a3214055b,
  abstract     = {{<p>We present an adaptive Discontinuous Galerkin discretization for the solution of porous media flow problems. The considered flows are immiscible and incompressible. The adaptive approach implemented allows for refinement/coarsening in both the element size and the polynomial degree. The method is evaluated using homogeneous and heterogeneous test cases.</p>}},
  author       = {{Kane, Birane and Klöfkorn, Robert and Gersbacher, Christoph}},
  booktitle    = {{Finite Volumes for Complex Applications VIII— Hyperbolic, Elliptic and Parabolic Problems - FVCA8 2017}},
  editor       = {{Omnes, Pascal and Cances, Clement}},
  isbn         = {{9783319573939}},
  issn         = {{2194-1017}},
  keywords     = {{Discontinuous galerkin; DUNE; Fully implicit; Hp-Adaptivity}},
  language     = {{eng}},
  pages        = {{447--456}},
  publisher    = {{Springer}},
  series       = {{Springer Proceedings in Mathematics and Statistics}},
  title        = {{Hp–adaptive discontinuous galerkin methods for porous media flow}},
  url          = {{http://dx.doi.org/10.1007/978-3-319-57394-6_47}},
  doi          = {{10.1007/978-3-319-57394-6_47}},
  volume       = {{200}},
  year         = {{2017}},
}