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An r-h Adaptive Strategy Based On Material Forces and Error Assessment

R. Gangadharan1, A. Rajagopal1, S.M. Sivakumar1, 2

Departments of Applied Mechanics and Civil Engineering, IIT Madras, Chennai, INDIA 600 036.

2 Corresponding Author: S.M. Sivakumar. Email: email

Computers, Materials & Continua 2004, 1(3), 229-244. https://doi.org/10.3970/cmc.2004.001.229

Abstract

A new r-h adaptive scheme is proposed and formulated. It involves a combination of the configurational force based r-adaption with weighted Laplacian smoothing and mesh enrichment by h-refinement. A Zienkiewicz-Zhu best guess stress error estimator is used in the h-refinement strategy. The best sequence for combining the effectiveness of r- and h- adaption has been evolved at in this study. A further reduction in the potential energy and the relative error norm of the system is found to be achieved with combined r-adaption and mesh enrichment (in the form h-refinement). Numerical study confirms that the proposed combined r-h adaption is more efficient than a purely h-adaptive approach and more flexible than a purely r-adaptive approach with better convergence characteristics.

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APA Style
Gangadharan, R., Rajagopal, A., Sivakumar, S. (2004). An r-h adaptive strategy based on material forces and error assessment. Computers, Materials & Continua, 1(3), 229-244. https://doi.org/10.3970/cmc.2004.001.229
Vancouver Style
Gangadharan R, Rajagopal A, Sivakumar S. An r-h adaptive strategy based on material forces and error assessment. Comput Mater Contin. 2004;1(3):229-244 https://doi.org/10.3970/cmc.2004.001.229
IEEE Style
R. Gangadharan, A. Rajagopal, and S. Sivakumar, “An r-h Adaptive Strategy Based On Material Forces and Error Assessment,” Comput. Mater. Contin., vol. 1, no. 3, pp. 229-244, 2004. https://doi.org/10.3970/cmc.2004.001.229



cc Copyright © 2004 The Author(s). Published by Tech Science Press.
This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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