Preprint server: Stefan Problem


[Pao02](LN1)
M. Paolini , From the Stefan problem to crystalline evolution, FM-DM Lecture notes, Warsaw, july 2002 (2002), 1--31.

[NPV93e](C19)
R.H. Nochetto , M. Paolini , and C. Verdi , Linearization and adaptivity for FBPs, Boundary value Problems for Partial Differential Equations and Applications, Research Notes in Applied Mathematics 29 (J.-L. Lions, C. Baiocchi, eds.), Masson, Paris (1993), 443--447.

[NPV94a](R14)
R.H. Nochetto , M. Paolini , and C. Verdi , Continuous and semidiscrete travelling waves for a phase relaxation model, European J. Appl. Math., 5 (1994), 177--199.

[NPV93a](R12)
R.H. Nochetto , M. Paolini , and C. Verdi , A fully discrete adaptive nonlinear Chernoff formula, SIAM J. Numer. Anal., 30, 4, (1993), 991--1014.

[NPV93c](C15)
R.H. Nochetto , M. Paolini , and C. Verdi , Towards a unified approach for the adaptive solution of evolution phase changes, Variational and Free Boundary Problems, IMA Vol. Math. Appl. 53 (A. Friedman and J. Spruck, eds.), Springer, New York (1993), 171--193.

[NPV91e](C10)
R.H. Nochetto , M. Paolini , and C. Verdi , Design and efficient implementation of an adaptive FEM for parabolic FBPs, Numerical Methods for Free Boundary Problems, International Series of Numerical Mathematics, 99 (P. Neittaanm\"aki ed.), Birkh\"auser, Basel (1991), 325--335.

[NPV91c](R6)
R.H. Nochetto , M. Paolini , and C. Verdi , An adaptive finite elements method for two-phase Stefan problems in two space dimensions. Part II: implementation and numerical experiments, SIAM J. Sci. Statist. Comput., 12 (1991), 1207--1244.

[NPV91d](R5)
R.H. Nochetto , M. Paolini , and C. Verdi , An adaptive finite elements method for two-phase Stefan problems in two space dimensions. Part I: stability and error estimates, Math. Comp., 57 (1991), 73--108.

[NPV90e](C9)
R.H. Nochetto , M. Paolini , and C. Verdi , Efficient mesh adaptation for parabolic FBPs, Free boundary problems involving solids, Pitman Research Notes in Mathematics Series 281 (J.M. Chadam and H. Rasmussen, eds.), Longman Scientific \& Technical, Harlow (1993), 183--189.

[NPV90d](C8)
R.H. Nochetto , M. Paolini , and C. Verdi , Basic principles of mesh adaptation for parabolic FBPs, Free boundary problems involving solids, Pitman Res. Notes Math. Ser., 281 (J.M. Chadam and H. Rasmussen, eds.), Longman Scientific \& Technical, Harlow (1993), 177--182.

[NPV89b](C6)
R.H. Nochetto , M. Paolini , and C. Verdi , Quasi-optimal mesh adaptation for two-phase Stefan problems in 2D, Proc. Computational Mathematics and Applications, 8th France-USSR-Italy Joint Symposium (E. Magenes ed.), Public. IAN - CNR, Pavia, 730 (1989), 313--326.

[NPV90c](C5)
R.H. Nochetto , M. Paolini , and C. Verdi , Selfadaptive mesh modification for parabolic FBPs: theory and computation, Proc. Free Boundary Problems (Oberwolfach, 1989, K.H. Hoffmann and J. Sprekels, eds.), Birkh\"auser, Basel (1990), 181--206.

[NPV91a](C4)
R.H. Nochetto , M. Paolini , and C. Verdi , An adaptive finite element method for Stefan problems, Proc. Fourth European Conference on Mathematics in Industry (St. Wolfgang, 1989, Hj. Wacker et al., eds.), Kluwer Academic Publisher and G.B. Teubner, Stuttgart (1991), 347--352.

[NPV89a](C3)
R.H. Nochetto , M. Paolini , and C. Verdi , Local mesh refinements for two-phase Stefan problems in two space variables, Mathematical Models for Phase Change Problems, Internat. Ser. Numer. Math., 88 (J.F. Rodrigues ed.), Birkh\"auser, Basel (1989), 261--286.

[PSV88b](C2)
M. Paolini , G. Sacchi, and C. Verdi , Approssimazione del problema di Stefan con metodi agli elementi finiti e tecniche adattive, Atti Convegno Nazionale di Analisi Numerica (Roma, 1988), pubblic. Dip. Metodi e Modelli Matematici per le Scienze Applicate, Roma (1988), 365--372.

[PSV87b](RT2)
M. Paolini , G. Sacchi, and C. Verdi , Approssimazione numerica di problemi parabolici a frontiera libera con metodi ad elementi finiti e visualizzazione grafica dei risultati: guida all'uso dei moduli GINT, GEO e STEF, Public. IAN - CNR, Pavia, 576 (1987), 1--119.

[PSV87a](RT1)
M. Paolini , G. Sacchi, and C. Verdi , Approssimazione di problemi a frontiera libera parabolici con metodi ad elementi finiti, Public. IAN - CNR, Pavia, 556 (1987), 1--19.

[PSV88a](R1)
M. Paolini , G. Sacchi, and C. Verdi , Finite element approximation of singular parabolic problems, Internat. J. Numer. Methods Engrg., 26 (1988), 1989--2007.

MP

Mar 03, 24