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Analysis of Geometrically Consistent Schemes with Finite Range Interaction

Published online by Cambridge University Press:  31 October 2017

Hongliang Li*
Institute of Electronic Engineering, Microsystem and Terahertz Research Center, China Academy of Engineering Physics, Mianyang, 621900, China
Pingbing Ming*
The State Key Laboratory of Scientific and Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, No. 55, East Road Zhong-Guan-Cun, Beijing 100190, China and School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
*Corresponding author. Email L. Li), B. Ming)
*Corresponding author. Email L. Li), B. Ming)
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We analyze the geometrically consistent schemes proposed by E. Lu and Yang [6] for one-dimensional problem with finite range interaction. The existence of the reconstruction coefficients is proved, and optimal error estimate is derived under sharp stability condition. Numerical experiments are performed to confirm the theoretical results.

Research Article
Copyright © Global-Science Press 2017 

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