In this paper we present three applications of a polygonal method to the approximate solution of a one dimensional Stefan problem with nonlinear boundary conditions on the fixed face. Our results extend previous approaches which have appeared in literature. In the same time the regularity assumptions on the initial data are relaxed and great simplification is obtained in the proof arguments; moreover error estimates are performed in the general case. Copyright © 1978 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim
Stefan problems with nonlinear boundary conditions: the polygonal method / G. BORGIOLI; E. DI BENEDETTO; M. UGHI. - In: ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK. - ISSN 0044-2267. - STAMPA. - 58:(1978), pp. 539-546. [10.1002/zamm.19780581203]
Stefan problems with nonlinear boundary conditions: the polygonal method
BORGIOLI, GIOVANNI
;DI BENEDETTO, EMMANUELE;UGHI, MAURA
1978
Abstract
In this paper we present three applications of a polygonal method to the approximate solution of a one dimensional Stefan problem with nonlinear boundary conditions on the fixed face. Our results extend previous approaches which have appeared in literature. In the same time the regularity assumptions on the initial data are relaxed and great simplification is obtained in the proof arguments; moreover error estimates are performed in the general case. Copyright © 1978 WILEY‐VCH Verlag GmbH & Co. KGaA, WeinheimFile | Dimensione | Formato | |
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