Analysis of Geometrically Consistent Schemes with Finite Range Interaction

Analysis of Geometrically Consistent Schemes with Finite Range Interaction

Year:    2017

Communications in Computational Physics, Vol. 22 (2017), Iss. 5 : pp. 1333–1361

Abstract

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.OA-2017-0013

Communications in Computational Physics, Vol. 22 (2017), Iss. 5 : pp. 1333–1361

Published online:    2017-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    29

Keywords: