B. Sarler, BOUNDARY INTEGRAL-EQUATION SOLUTION OF 2-DIMENSIONAL STEFAN-PROBLEMS WITH TEMPERATURE-DEPENDENT MATERIAL PROPERTIES, Zeitschrift fur angewandte Mathematik und Mechanik, 77, 1997, pp. 685-686
A new dual reciprocity boundary integral technique for solving Stefan
problems with temperature dependent material properties is tested in t
his paper. Laplace equation fundamental solution weighting, basic orde
r discretization of the fields on the boundary, Crank-Nicolson timeste
pping with Voller-Swaminathan source linearization, and thin plate spl
ines for calculating the domain integrals on dual reciprocity boundary
-only basis are employed. Verification of the method follows the stand
ards set for finite element methods.