@Article{cmc.2004.001.229,
AUTHOR = {R.  Gangadharan, A.  Rajagopal, S.M.  Sivakumar},
TITLE = {An r-h Adaptive Strategy Based On Material Forces and Error Assessment},
JOURNAL = {Computers, Materials \& Continua},
VOLUME = {1},
YEAR = {2004},
NUMBER = {3},
PAGES = {229--244},
URL = {http://www.techscience.com/cmc/v1n3/22353},
ISSN = {1546-2226},
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.},
DOI = {10.3970/cmc.2004.001.229}
}