@Article{cmes.2011.078.185,
AUTHOR = {A.  Khosravifard, M.R.  Hematiyan},
TITLE = {Inverse Analysis of Solidification Problems Using the Mesh-Free Radial Point Interpolation Method},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {78},
YEAR = {2011},
NUMBER = {3&4},
PAGES = {185--208},
URL = {http://www.techscience.com/CMES/v78n3&4/25730},
ISSN = {1526-1506},
ABSTRACT = {An inverse method for optimal control of the freezing front motion in the solidification of pure materials is presented. The inverse technique utilizes the idea of a pseudo heat source to account for the latent heat effects. The numerical formulation of this inverse method is based on a formerly introduced meshless technique. In this method, the flux and the velocity of the liquid-solid interface are treated as secondary variables and the liquid and solid domains are modeled simultaneously. Some numerical examples are provided to demonstrate the efficiency of the presented method. The effects of regularization and the number of nodes of the proposed meshless method are investigated in the examples.},
DOI = {10.3970/cmes.2011.078.185}
}