A Posteriori Error Estimates of Discontinuous Streamline Diffusion Methods for Transport Equations

A Posteriori Error Estimates of Discontinuous Streamline Diffusion Methods for Transport Equations

Year:    2018

Communications in Computational Physics, Vol. 24 (2018), Iss. 5 : pp. 1355–1374

Abstract

Residual-based posteriori error estimates for discontinuous streamline diffusion methods for transport equations are studied in this paper. Computable upper bounds of the errors are measured based on mesh-dependent energy norm and negative norm. The estimates obtained are locally efficient, and thus suitable for adaptive mesh refinement applications. Numerical experiments are provided to illustrate underlying features of the estimators.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.OA-2017-0120

Communications in Computational Physics, Vol. 24 (2018), Iss. 5 : pp. 1355–1374

Published online:    2018-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    20

Keywords:    A posteriori error estimates discontinuous streamline diffusion methods transport equations.