Adaptive discontinuous galerkin methods for flow in porous media

Birane Kane; Robert Klöfkorn; Andreas Dedner

doi:10.1007/978-3-319-96415-7_32

Adaptive discontinuous galerkin methods for flow in porous media

Birane Kane, Robert Klöfkorn, Andreas Dedner

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 fully adaptive approach implemented allows for refinement and coarsening in both the element size, the polynomial degree and the time step size.

Original language	English
Title of host publication	Numerical Mathematics and Advanced Applications ENUMATH 2017
Editors	Florin Adrian Radu, Kundan Kumar, Inga Berre, Jan Martin Nordbotten, Iuliu Sorin Pop
Publisher	Springer
Pages	367-378
Number of pages	12
ISBN (Electronic)	978-3-319-96415-7
ISBN (Print)	9783319964140
DOIs	https://doi.org/10.1007/978-3-319-96415-7_32
Publication status	Published - 2019
Externally published	Yes
Event	European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2017 - Voss, Norway Duration: 2017 Sept 25 → 2017 Sept 29

Publication series

Name	Lecture Notes in Computational Science and Engineering
Volume	126
ISSN (Print)	1439-7358

Conference

Conference	European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2017
Country/Territory	Norway
City	Voss
Period	2017/09/25 → 2017/09/29

Subject classification (UKÄ)

Computational Mathematics

Access to Document

10.1007/978-3-319-96415-7_32

Cite this

Kane, B., Klöfkorn, R., & Dedner, A. (2019). Adaptive discontinuous galerkin methods for flow in porous media. In F. A. Radu, K. Kumar, I. Berre, J. M. Nordbotten, & I. S. Pop (Eds.), Numerical Mathematics and Advanced Applications ENUMATH 2017 (pp. 367-378). (Lecture Notes in Computational Science and Engineering; Vol. 126). Springer. https://doi.org/10.1007/978-3-319-96415-7_32

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title = "Adaptive discontinuous galerkin methods for flow in porous media",

abstract = "We present an adaptive Discontinuous Galerkin discretization for the solution of porous media flow problems. The considered flows are immiscible and incompressible. The fully adaptive approach implemented allows for refinement and coarsening in both the element size, the polynomial degree and the time step size.",

author = "Birane Kane and Robert Kl{\"o}fkorn and Andreas Dedner",

year = "2019",

doi = "10.1007/978-3-319-96415-7_32",

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booktitle = "Numerical Mathematics and Advanced Applications ENUMATH 2017",

address = "Germany",

note = "European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2017 ; Conference date: 25-09-2017 Through 29-09-2017",

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Kane, B, Klöfkorn, R & Dedner, A 2019, Adaptive discontinuous galerkin methods for flow in porous media. in FA Radu, K Kumar, I Berre, JM Nordbotten & IS Pop (eds), Numerical Mathematics and Advanced Applications ENUMATH 2017. Lecture Notes in Computational Science and Engineering, vol. 126, Springer, pp. 367-378, European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2017, Voss, Norway, 2017/09/25. https://doi.org/10.1007/978-3-319-96415-7_32

Adaptive discontinuous galerkin methods for flow in porous media. / Kane, Birane; Klöfkorn, Robert; Dedner, Andreas.
Numerical Mathematics and Advanced Applications ENUMATH 2017. ed. / Florin Adrian Radu; Kundan Kumar; Inga Berre; Jan Martin Nordbotten; Iuliu Sorin Pop. Springer, 2019. p. 367-378 (Lecture Notes in Computational Science and Engineering; Vol. 126).

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

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AB - We present an adaptive Discontinuous Galerkin discretization for the solution of porous media flow problems. The considered flows are immiscible and incompressible. The fully adaptive approach implemented allows for refinement and coarsening in both the element size, the polynomial degree and the time step size.

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PB - Springer

T2 - European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2017

Y2 - 25 September 2017 through 29 September 2017

ER -

Adaptive discontinuous galerkin methods for flow in porous media

Abstract

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Conference

Subject classification (UKÄ)

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