An inverse finite element method for pure and binary solidification problems (Q676365)

An extension of the inverse finite element method (IFEM) developed by \textit{A. N. Alexandrou} [Int. J. Numer. Methods Eng. 28, No. 10, 2383-2396 (1989; Zbl 0716.73096)] is introduced. It allows the nodal temperature to change and employs a more general mesh updating procedure than in previous applications. Also, this extends the practical applications of IFEM to time-dependent boundary conditions, spatially nonhomogeneous temperature fields and the solidification of a binary alloy with a composition dependent melting temperature. Numerical experiments that illustrate the suitability of the extended IFEM are presented.