We consider two different time discretization algorithms for a nonlinear parabolic PDE arising in heat conduction phenomena with phase changes in two adjoining bodies Ω and Γ, where Γ can be considered as the boundary of Ω. Stability, convergence and error estimate results are given for both algorithms.
Time discretization schemes for the Stefan problem in a concentrated capacity / E. Magenes, C. Verdi. - In: MECCANICA. - ISSN 0025-6455. - 28:2(1993), pp. 121-128. [10.1007/BF01020324]
Time discretization schemes for the Stefan problem in a concentrated capacity
C. VerdiUltimo
1993
Abstract
We consider two different time discretization algorithms for a nonlinear parabolic PDE arising in heat conduction phenomena with phase changes in two adjoining bodies Ω and Γ, where Γ can be considered as the boundary of Ω. Stability, convergence and error estimate results are given for both algorithms.
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