An adaptive E-scheme for conservation laws

Ebise A. Abdi; Christian V. Hansen; H. J. Schroll

doi:10.1007/978-3-319-96415-7_33

An adaptive E-scheme for conservation laws

Ebise A. Abdi, Christian V. Hansen, H. J. Schroll^*

^*Corresponding author for this work

Department of Mathematics and Computer Science

University of Southern Denmark

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

Abstract

An adaptive E-scheme for possibly degenerate, viscous conservation laws is presented. The scheme makes use of both given and numerical diffusion to establish the E-property. In the degenerate case it reduces to local Lax–Friedrichs. Both explicit and time-implicit E-schemes are monotone and TVD. Numerical experiments demonstrate the robustness and improved accuracy of the adaptive scheme.

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
Volume	126
Place of Publication	Switzerland
Publisher	Springer
Publication date	1. Jan 2019
Pages	379-387
ISBN (Print)	9783319964140
ISBN (Electronic)	9783319964157
DOIs	https://doi.org/10.1007/978-3-319-96415-7_33
Publication status	Published - 1. Jan 2019
Event	European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2017 - Voss, Norway Duration: 25. Sept 2017 → 29. Sept 2017

Conference

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

Series	Lecture Notes in Computational Science and Engineering
Volume	126
ISSN	1439-7358

Documents & Links

10.1007/978-3-319-96415-7_33

1 Ph.D. thesis

Computational Modeling of Fluorescence Photobleaching
Hansen, C. V., 28. Dec 2017, Syddansk Universitet. Det Naturvidenskabelige Fakultet. 183 p.
Research output: Thesis › Ph.D. thesis

Cite this

Abdi, E. A., Hansen, C. V., & Schroll, H. J. (2019). An adaptive E-scheme for conservation laws. In F. A. Radu, K. Kumar, I. Berre, J. M. Nordbotten, & I. S. Pop (Eds.), Numerical Mathematics and Advanced Applications ENUMATH 2017 (Vol. 126, pp. 379-387). Springer. Lecture Notes in Computational Science and Engineering Vol. 126 https://doi.org/10.1007/978-3-319-96415-7_33

Abdi, Ebise A. ; Hansen, Christian V. ; Schroll, H. J. / An adaptive E-scheme for conservation laws. Numerical Mathematics and Advanced Applications ENUMATH 2017. editor / Florin Adrian Radu ; Kundan Kumar ; Inga Berre ; Jan Martin Nordbotten ; Iuliu Sorin Pop. Vol. 126 Switzerland : Springer, 2019. pp. 379-387 (Lecture Notes in Computational Science and Engineering, Vol. 126).

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title = "An adaptive E-scheme for conservation laws",

abstract = "An adaptive E-scheme for possibly degenerate, viscous conservation laws is presented. The scheme makes use of both given and numerical diffusion to establish the E-property. In the degenerate case it reduces to local Lax–Friedrichs. Both explicit and time-implicit E-schemes are monotone and TVD. Numerical experiments demonstrate the robustness and improved accuracy of the adaptive scheme.",

author = "Abdi, {Ebise A.} and Hansen, {Christian V.} and Schroll, {H. J.}",

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Abdi, EA, Hansen, CV & Schroll, HJ 2019, An adaptive E-scheme for conservation laws. in FA Radu, K Kumar, I Berre, JM Nordbotten & IS Pop (eds), Numerical Mathematics and Advanced Applications ENUMATH 2017. vol. 126, Springer, Switzerland, Lecture Notes in Computational Science and Engineering, vol. 126, pp. 379-387, European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2017, Voss, Norway, 25/09/2017. https://doi.org/10.1007/978-3-319-96415-7_33

An adaptive E-scheme for conservation laws. / Abdi, Ebise A.; Hansen, Christian V.; Schroll, H. J.

Numerical Mathematics and Advanced Applications ENUMATH 2017. ed. / Florin Adrian Radu; Kundan Kumar; Inga Berre; Jan Martin Nordbotten; Iuliu Sorin Pop. Vol. 126 Switzerland : Springer, 2019. p. 379-387 (Lecture Notes in Computational Science and Engineering, Vol. 126).

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

TY - GEN

T1 - An adaptive E-scheme for conservation laws

AU - Abdi, Ebise A.

AU - Hansen, Christian V.

AU - Schroll, H. J.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - An adaptive E-scheme for possibly degenerate, viscous conservation laws is presented. The scheme makes use of both given and numerical diffusion to establish the E-property. In the degenerate case it reduces to local Lax–Friedrichs. Both explicit and time-implicit E-schemes are monotone and TVD. Numerical experiments demonstrate the robustness and improved accuracy of the adaptive scheme.

AB - An adaptive E-scheme for possibly degenerate, viscous conservation laws is presented. The scheme makes use of both given and numerical diffusion to establish the E-property. In the degenerate case it reduces to local Lax–Friedrichs. Both explicit and time-implicit E-schemes are monotone and TVD. Numerical experiments demonstrate the robustness and improved accuracy of the adaptive scheme.

U2 - 10.1007/978-3-319-96415-7_33

DO - 10.1007/978-3-319-96415-7_33

M3 - Article in proceedings

AN - SCOPUS:85060036859

SN - 9783319964140

VL - 126

T3 - Lecture Notes in Computational Science and Engineering

SP - 379

EP - 387

BT - Numerical Mathematics and Advanced Applications ENUMATH 2017

A2 - Radu, Florin Adrian

A2 - Kumar, Kundan

A2 - Berre, Inga

A2 - Nordbotten, Jan Martin

A2 - Pop, Iuliu Sorin

PB - Springer

CY - Switzerland

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

Y2 - 25 September 2017 through 29 September 2017

ER -

An adaptive E-scheme for conservation laws

Abstract

Conference

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Related Research Output

Computational Modeling of Fluorescence Photobleaching

Cite this