Hp–adaptive discontinuous galerkin methods for porous media flow

Birane Kane; Robert Klöfkorn; Christoph Gersbacher

doi:10.1007/978-3-319-57394-6_47

Hp–adaptive discontinuous galerkin methods for porous media flow

Birane Kane, Robert Klöfkorn, Christoph Gersbacher

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

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.

Original language	English
Title of host publication	Finite Volumes for Complex Applications VIII— Hyperbolic, Elliptic and Parabolic Problems - FVCA8 2017
Editors	Pascal Omnes, Clement Cances
Publisher	Springer
Pages	447-456
Number of pages	10
ISBN (Print)	9783319573939
DOIs	https://doi.org/10.1007/978-3-319-57394-6_47
Publication status	Published - 2017
Externally published	Yes
Event	8th International Symposium on Finite Volumes for Complex Applications - Hyperbolic, Elliptic and Parabolic Problems, FVCA8 2017 - Lille, France Duration: 2017 Jun 12 → 2017 Jun 16

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	200
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Conference

Conference	8th International Symposium on Finite Volumes for Complex Applications - Hyperbolic, Elliptic and Parabolic Problems, FVCA8 2017
Country/Territory	France
City	Lille
Period	2017/06/12 → 2017/06/16

Free keywords

Discontinuous galerkin
DUNE
Fully implicit
Hp-Adaptivity

Access to Document

10.1007/978-3-319-57394-6_47

Cite this

Kane, B., Klöfkorn, R., & Gersbacher, C. (2017). Hp–adaptive discontinuous galerkin methods for porous media flow. In P. Omnes, & C. Cances (Eds.), Finite Volumes for Complex Applications VIII— Hyperbolic, Elliptic and Parabolic Problems - FVCA8 2017 (pp. 447-456). (Springer Proceedings in Mathematics and Statistics; Vol. 200). Springer. https://doi.org/10.1007/978-3-319-57394-6_47

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title = "Hp–adaptive discontinuous galerkin methods for porous media flow",

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.",

keywords = "Discontinuous galerkin, DUNE, Fully implicit, Hp-Adaptivity",

author = "Birane Kane and Robert Kl{\"o}fkorn and Christoph Gersbacher",

year = "2017",

doi = "10.1007/978-3-319-57394-6_47",

language = "English",

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address = "Germany",

note = "8th International Symposium on Finite Volumes for Complex Applications - Hyperbolic, Elliptic and Parabolic Problems, FVCA8 2017 ; Conference date: 12-06-2017 Through 16-06-2017",

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Kane, B, Klöfkorn, R & Gersbacher, C 2017, Hp–adaptive discontinuous galerkin methods for porous media flow. in P Omnes & C Cances (eds), Finite Volumes for Complex Applications VIII— Hyperbolic, Elliptic and Parabolic Problems - FVCA8 2017. Springer Proceedings in Mathematics and Statistics, vol. 200, Springer, pp. 447-456, 8th International Symposium on Finite Volumes for Complex Applications - Hyperbolic, Elliptic and Parabolic Problems, FVCA8 2017, Lille, France, 2017/06/12. https://doi.org/10.1007/978-3-319-57394-6_47

Hp–adaptive discontinuous galerkin methods for porous media flow. / Kane, Birane; Klöfkorn, Robert; Gersbacher, Christoph.
Finite Volumes for Complex Applications VIII— Hyperbolic, Elliptic and Parabolic Problems - FVCA8 2017. ed. / Pascal Omnes; Clement Cances. Springer, 2017. p. 447-456 (Springer Proceedings in Mathematics and Statistics; Vol. 200).

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

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T1 - Hp–adaptive discontinuous galerkin methods for porous media flow

AU - Kane, Birane

AU - Klöfkorn, Robert

AU - Gersbacher, Christoph

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N2 - 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.

AB - 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.

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KW - DUNE

KW - Fully implicit

KW - Hp-Adaptivity

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DO - 10.1007/978-3-319-57394-6_47

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BT - Finite Volumes for Complex Applications VIII— Hyperbolic, Elliptic and Parabolic Problems - FVCA8 2017

A2 - Omnes, Pascal

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PB - Springer

T2 - 8th International Symposium on Finite Volumes for Complex Applications - Hyperbolic, Elliptic and Parabolic Problems, FVCA8 2017

Y2 - 12 June 2017 through 16 June 2017

ER -

Hp–adaptive discontinuous galerkin methods for porous media flow

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