TY  - EJOU
AU  - Gangadharan, R.  
AU  - Rajagopal, A.  
AU  - Sivakumar, S.M.  

TI  - An r-h Adaptive Strategy Based On Material Forces and Error Assessment
T2  - Computers, Materials \& Continua

PY  - 2004
VL  - 1
IS  - 3
SN  - 1546-2226

AB  - 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.
KW  - r-h adaptvity
KW  -  Material forces
KW  -  Polak-Rebiere algorithm
KW  -  Discretization error

DO  - 10.3970/cmc.2004.001.229