Uniform convergent scheme for discrete-ordinate radiative transport equation with discontinuous coefficients on unstructured quadrilateral meshes-Reference-Cited by-同舟云学术

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Uniform convergent scheme for discrete-ordinate radiative transport equation with discontinuous coefficients on unstructured quadrilateral meshes

Published:2022-09-07 Issue:5 Volume:3 Page:
ISSN:2662-2963
Container-title:Partial Differential Equations and Applications
language:en
Short-container-title:Partial Differ. Equ. Appl.

Author:

Wang Yihong,Tang Min^ORCID,Fu Jingyi

Funder

Chinese Academy of Sciences

Shanghai Science and Technology Development Foundation

Young Scientists Fund

Natural Science Foundation of Shanghai

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis

Link

https://link.springer.com/content/pdf/10.1007/s42985-022-00195-y.pdf

Reference30 articles.

1. Adams, M.: Discontinuous finite element transport solutions in thick diffusive problems. Nucl. Sci. Eng. 137, 298–333 (2001)

2. Anguill, P., Cargo, P., Enaux, C., Hoch, P., Labourasse, E., Sambatitle, G.: An asymptotic preserving method for the linear transport equation on general meshes. J. Comput. Phys. 450, 110859 (2022)

3. Berthon, C., Moebs, G., Sarazin-Desbois, C., Turpault, R.: An asymptotic-preserving scheme for systems of conservation laws with source terms on 2D unstructured meshes. Commun. Appl. Math. Comput. Sci., 11(1), 55–77 (2016)

4. Berthon, C., Turpault, R.: Asymptotic preserving HLL schemes. Numer. Methods Partial Differ. Equ. 27(6), 1396–1422 (2011)

5. Bhan, K., Spanier, J.: Condensed history monte Carlo methods for photon transport problems. J. Comput. Phys. 225(2), 1673–1694 (2007)

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