An adaptive E-scheme for conservation laws

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

*Kontaktforfatter for dette arbejde

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Resumé

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.

OriginalsprogEngelsk
TitelNumerical Mathematics and Advanced Applications ENUMATH 2017
RedaktørerFlorin Adrian Radu, Kundan Kumar, Inga Berre, Jan Martin Nordbotten, Iuliu Sorin Pop
Vol/bind126
Udgivelses stedSwitzerland
ForlagSpringer VS
Publikationsdato1. jan. 2019
Sider379-387
ISBN (Trykt)9783319964140
ISBN (Elektronisk)9783319964157
DOI
StatusUdgivet - 1. jan. 2019
BegivenhedEuropean Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2017 - Voss, Norge
Varighed: 25. sep. 201729. sep. 2017

Konference

KonferenceEuropean Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2017
LandNorge
ByVoss
Periode25/09/201729/09/2017
NavnLecture Notes in Computational Science and Engineering
Vol/bind126
ISSN1439-7358

Fingeraftryk

experiment

Citer dette

Abdi, E. A., Hansen, C. V., & Schroll, H. J. (2019). An adaptive E-scheme for conservation laws. I F. A. Radu, K. Kumar, I. Berre, J. M. Nordbotten, & I. S. Pop (red.), Numerical Mathematics and Advanced Applications ENUMATH 2017 (Bind 126, s. 379-387). Switzerland: Springer VS. Lecture Notes in Computational Science and Engineering, Bind. 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. red. / Florin Adrian Radu ; Kundan Kumar ; Inga Berre ; Jan Martin Nordbotten ; Iuliu Sorin Pop. Bind 126 Switzerland : Springer VS, 2019. s. 379-387 (Lecture Notes in Computational Science and Engineering, Bind 126).
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Abdi, EA, Hansen, CV & Schroll, HJ 2019, An adaptive E-scheme for conservation laws. i FA Radu, K Kumar, I Berre, JM Nordbotten & IS Pop (red), Numerical Mathematics and Advanced Applications ENUMATH 2017. bind 126, Springer VS, Switzerland, Lecture Notes in Computational Science and Engineering, bind 126, s. 379-387, European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2017, Voss, Norge, 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. red. / Florin Adrian Radu; Kundan Kumar; Inga Berre; Jan Martin Nordbotten; Iuliu Sorin Pop. Bind 126 Switzerland : Springer VS, 2019. s. 379-387 (Lecture Notes in Computational Science and Engineering, Bind 126).

Publikation: Bidrag til bog/antologi/rapport/konference-proceedingKonferencebidrag i proceedingsForskningpeer 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

SN - 9783319964140

VL - 126

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 VS

CY - Switzerland

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Abdi EA, Hansen CV, Schroll HJ. An adaptive E-scheme for conservation laws. I Radu FA, Kumar K, Berre I, Nordbotten JM, Pop IS, red., Numerical Mathematics and Advanced Applications ENUMATH 2017. Bind 126. Switzerland: Springer VS. 2019. s. 379-387. (Lecture Notes in Computational Science and Engineering, Bind 126). https://doi.org/10.1007/978-3-319-96415-7_33