TY - GEN A1 - Hoppe, Ronald H. W. A1 - Kornhuber, Ralf T1 - Multi-Grid Solution of Two Coupled Stefan Equations Arising in Induction Heating of Large Steel Slabs. N2 - Induction heating of large steel slabs can be described by a coupled system of nonlinear evolution equations of Stefan type representing the temporal and spatial distribution of the induced magnetic field and the generated temperature within the slab. Discretizing these equations implicitly in time and by finite differences in space, at each time step the solution of a system of difference inclusions is required. For the solution of that system two multi-grid algorithms are given which combined with a nested iteration type continuation strategy to proceed in time result in computationally highly efficient schemes for the numerical simulation of the induction heating process. {\bf Keywords:} induction heating, system of two coupled Stefan equations, multi-grid algorithms. {\bf Subject Classification:} AMS(MOS): 35K60, 35R35, 65H10, 65N05, 65N20, 78A25, 78A55. T3 - ZIB-Report - SC-88-08 KW - induction heating KW - system of two coupled Stefan equations KW - multi-grid algorithms Y1 - 1988 UR - https://opus4.kobv.de/opus4-zib/frontdoor/index/index/docId/16 UR - https://nbn-resolving.org/urn:nbn:de:0297-zib-160 ER -