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Volume 24, Issue 5
A Posteriori Error Estimates of Discontinuous Streamline Diffusion Methods for Transport Equations

Juan Sun, Zhaojie Zhou & Huipo Liu

DOI: 10.4208/cicp.OA-2017-0120

Commun. Comput. Phys., 24 (2018), pp. 1355-1374.

Published online: 2018-06

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  • 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.

  • Keywords

A posteriori error estimates, discontinuous streamline diffusion methods, transport equations.

  • AMS Subject Headings

65N30

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CiCP-24-1355, author = {Juan Sun, Zhaojie Zhou and Huipo Liu}, title = {A Posteriori Error Estimates of Discontinuous Streamline Diffusion Methods for Transport Equations}, journal = {Communications in Computational Physics}, year = {2018}, volume = {24}, number = {5}, pages = {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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2017-0120}, url = {http://global-sci.org/intro/article_detail/cicp/12481.html} }
TY - JOUR T1 - A Posteriori Error Estimates of Discontinuous Streamline Diffusion Methods for Transport Equations AU - Juan Sun, Zhaojie Zhou & Huipo Liu JO - Communications in Computational Physics VL - 5 SP - 1355 EP - 1374 PY - 2018 DA - 2018/06 SN - 24 DO - http://doi.org/10.4208/cicp.OA-2017-0120 UR - https://global-sci.org/intro/article_detail/cicp/12481.html KW - A posteriori error estimates, discontinuous streamline diffusion methods, transport equations. AB -

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.

Juan Sun, Zhaojie Zhou and Huipo Liu. (2018). A Posteriori Error Estimates of Discontinuous Streamline Diffusion Methods for Transport Equations. Communications in Computational Physics. 24 (5). 1355-1374. doi:10.4208/cicp.OA-2017-0120
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