Error control of a nonlinear evolution problem related to phase transitions

Numerical Functional Analysis and Optimization

Volumn 20, Issue 5-6, 1999, Pages 585-608

  Stefanelli, Ulisse ^a  

^a UNIVERSITY OF PAVIA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; MATHEMATICAL MODELS; PHASE TRANSITIONS; PROBLEM SOLVING;

ERROR CONTROL; NONLINEAR EVOLUTION PROBLEM; TIME DISCRETIZATION;

NONLINEAR EQUATIONS;

EID: 0033154250     PISSN: 01630563     EISSN: None     Source Type: Journal    
DOI: 10.1080/01630569908816912     Document Type: Article

References (12)

1. A. Ambrosetti and G. Prodi. A primer of nonlinear analysis. Number 34 in Cambridge Stud. Adv. Math. Cambridge University Press, Cambridge, 1995.
2. C. Baiocchi. Sulle equazioni differenziali astratte lineari del primo e del secondo ordine negli spazi di Hilbert. Ann. Mat. Pura Appl. (4), 76:233-304, 1967.
3. V. Barbu. Nonlinear semigroups and differential equations in Banach spaces. Noordhoff International Publishing, 1976.
4. Ph. Bénilan, D. Blanchard, and H. Guidouche. On a non-linear system for shape memory alloys. Contin. Mech. Thermodyn., 1:65-76, 1990.
5. D. Blanchard and H. Guidouche. A nonlinear system for irreversible phase changes. European J. Appl. Math., 1:91-100, 1990.
6. H. Brézis. Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hubert. Number 5 in North Holland Math. Studies. North-Holland, Amsterdam, 1973.
7. P. Colli. Global existence for the three-dimensional Frémond model of shape memory alloys. Nonlinear Anal., 24(11):1565-1579, 1995.
8. P. Colli and K.H. Hoffmann. A nonlinear evolution problem describing multicomponent phase changes with dissipation. Numer. Funct. Anal. Optim., 14:275-297, 1993.
9. I. Ekeland and R. Temam. Analyse convexe et problèmes variationnels. Dunod Gauthier-Villars, Paris, 1974.
10. M. Frémond. Matériaux à mémoire de forme. C. R. Acad. Sci. Paris Sér. II Méc. Phys. Chim. Sci. Univers Sci. Terre, 304:239-244, 1987.
11. M. Frémond. Shape memory alloys. A thermomechanical model. In K. H. Hoffmann and J. Sprekels, editors, Free boundary problems: theory and applications, number 185 in Pitman Res. Notes Math. Ser., pages 295-306. Longman, London, 1990.
12. M. Frémond and A. Visintin. Dissipation dans le changement de phase. Surfusion. Changement de phase irréversible. C. R. Acad. Sci. Paris Sér. II Méc. Phys. Chim. Sci. Univers Sci. Terre, 301:1265-1268, 1985.