Vol.1, No.3, 2004, pp.229-244, doi:10.3970/cmc.2004.001.229
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:
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.
r-h adaptvity, Material forces, Polak-Rebiere algorithm, Discretization error.
Cite This Article
R. . Gangadharan, A. . Rajagopal and S. . Sivakumar, "An r-h adaptive strategy based on material forces and error assessment," Computers, Materials & Continua, vol. 1, no.3, pp. 229–244, 2004.
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