Optimal convergence of discontinuous Galerkin methods for continuum modeling of supply chain networks

Shuhua Zhang; Shuyu Sun; Hongtao Yang

doi:10.1016/j.camwa.2014.07.012

Optimal convergence of discontinuous Galerkin methods for continuum modeling of supply chain networks

Shuhua Zhang, Shuyu Sun, Hongtao Yang

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

A discontinuous Galerkin method is considered to simulate materials flow in a supply chain network problem which is governed by a system of conservation laws. By means of a novel interpolation and superclose analysis technique, the optimal and superconvergence error estimates are established under two physically meaningful assumptions on the connectivity matrix. Numerical examples are presented to validate the theoretical results. © 2014 Elsevier Ltd. All rights reserved.

Original language	English (US)
Pages (from-to)	681-691
Number of pages	11
Journal	Computers & Mathematics with Applications
Volume	68
Issue number	6
DOIs	https://doi.org/10.1016/j.camwa.2014.07.012
State	Published - Sep 2014

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: The authors express their thanks to the reviewers whose comments lead to considerable improvements in the final version of the paper. This project was supported in part by the National Basic Research Program (2012CB955804), the National Natural Science Foundation of China (11171251 and 11201501), Tianjin University of Finance and Economics (ZD1302), and the Faculty Research Grant of MUST ("Simulation of Subsurface Geochemical Transport and Carbon Sequestration" funded by the GRP-AEA Program).

ASJC Scopus subject areas

Modeling and Simulation
Computational Theory and Mathematics
Computational Mathematics

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10.1016/j.camwa.2014.07.012

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abstract = "A discontinuous Galerkin method is considered to simulate materials flow in a supply chain network problem which is governed by a system of conservation laws. By means of a novel interpolation and superclose analysis technique, the optimal and superconvergence error estimates are established under two physically meaningful assumptions on the connectivity matrix. Numerical examples are presented to validate the theoretical results. {\textcopyright} 2014 Elsevier Ltd. All rights reserved.",

author = "Shuhua Zhang and Shuyu Sun and Hongtao Yang",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: The authors express their thanks to the reviewers whose comments lead to considerable improvements in the final version of the paper. This project was supported in part by the National Basic Research Program (2012CB955804), the National Natural Science Foundation of China (11171251 and 11201501), Tianjin University of Finance and Economics (ZD1302), and the Faculty Research Grant of MUST ({"}Simulation of Subsurface Geochemical Transport and Carbon Sequestration{"} funded by the GRP-AEA Program).",

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AB - A discontinuous Galerkin method is considered to simulate materials flow in a supply chain network problem which is governed by a system of conservation laws. By means of a novel interpolation and superclose analysis technique, the optimal and superconvergence error estimates are established under two physically meaningful assumptions on the connectivity matrix. Numerical examples are presented to validate the theoretical results. © 2014 Elsevier Ltd. All rights reserved.

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Optimal convergence of discontinuous Galerkin methods for continuum modeling of supply chain networks

Abstract

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