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

Shuhua Zhang, Shuyu Sun, Hongtao Yang

Research output: Contribution to journalArticlepeer-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 languageEnglish (US)
Pages (from-to)681-691
Number of pages11
JournalComputers & Mathematics with Applications
Volume68
Issue number6
DOIs
StatePublished - Sep 2014

ASJC Scopus subject areas

  • Modeling and Simulation
  • Computational Theory and Mathematics
  • Computational Mathematics

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