Hp–adaptive discontinuous galerkin methods for porous media flow
(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:
https://lup.lub.lu.se/record/2a734291-3e68-48e6-9011-9e8a3214055b
- author
- Kane, Birane ; Klöfkorn, Robert LU and Gersbacher, Christoph
- publishing date
- 2017
- 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}}, }