Optimal convergence of discontinuous Galerkin methods for continuum modeling of supply chain networks
KAUST DepartmentComputational Transport Phenomena Lab
Physical Sciences and Engineering (PSE) Division
Environmental Science and Engineering Program
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AbstractA 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.
SponsorsThe 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).