Preprint server: old

[BBP08a](R45)

G. Bellettini , V. Beorchia, and M. Paolini , Topological and variational properties of a model for the reconstruction of three-dimensional transparent images with self-occlusions, J. Math. Imaging Vision, 32 (2008), 265--291.

[NoPa07](R44)

M. Novaga and M. Paolini , Nonuniqueness for crystalline curvature flow, Math. Models Methods Appl. Sci., 17 (2007), 1307--1315.

[Pao05](C26)

M. Paolini , Capillarity and calibrability of sets in crystalline mean curvature flow, Oberwolfach Reports, 2 (2005), 560--562.

[FoPa04](D1)

A. Forlini and M. Paolini , Fidarsi dei software di geometria interattiva?, Ricordando Franco Conti (Fulvio Ricci, Mariano Giacquinta, Alberto Abbondandolo, eds.), Scuola Normale Superiore, Pisa (2004), 181--193.

[Pao02](LN1)

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

[BePa02](R43)

G. Bellettini and M. Paolini , Errata corrige to the paper: Some results on minimal barriers in the sense of De Giorgi applied to driven motion by mean curvature, Rend. Accad. Naz. Sci. XL Mem. Mat. (5), 26 (2002), 161--165.

[PaPa02](C25)

M. Paolini and F. Pasquarelli, Unstable Crystalline Wulff Shapes in 3D, Proceedings Variational methods for discontinuous structures, Progress in Nonlinear Differential Equations and Their Applications 51, Birkhauser, Basel (2002), 141--153.

[GPR01](R42)

Y. Giga , M. Paolini , and P. Rybka , On the motion by singular interfacial energy, Japan J. Indust. Appl. Math., 18 (2001), 47--64.

[BNP01b](R41)

G. Bellettini , M. Novaga , and M. Paolini , On a crystalline variational problem, part II: $BV$-regularity and structure of minimizers on facets, Arch. Ration. Mech. Anal., 3 (2001), 193--217.

[BNP01c](R40)

G. Bellettini , M. Novaga , and M. Paolini , Characterization of facet--breaking for nonsmooth mean curvature flow in the convex case, Interfaces and Free Boundaries, 3 (2001), 415--446.

[NePa01](R39)

M. Negri and M. Paolini , Numerical minimization of the Mumford-Shah functional, Calcolo, 38 (2001), 67--84.

[PaPa00](C24)

M. Paolini and F. Pasquarelli, Numerical simulation of crystalline curvature flow in 3D by interface diffusion, Free Boundary Problems: theory and applications II, GAKUTO Internat. Ser. Math. Sci. Appl. 14 (N. Kenmochi ed.), Gakk\"otosho, Tokyo (2000), 376--389.

[BNP01a](R38)

G. Bellettini , M. Novaga , and M. Paolini , On a crystalline variational problem, part I: first variation and global $L^\infty$-regularity, Arch. Ration. Mech. Anal., 3 (2001), 165--191.

[BNP99](R37)

G. Bellettini , M. Novaga , and M. Paolini , Facet-breaking for three dimensional crystals evolving by mean curvature, Interfaces and Free Boundaries, 1 (1999), 39--55.

[Pao98](C23)

M. Paolini , Fattening in two dimensions obtained with a nonsymmetric anisotropy: numerical simulations, Acta Math. Univ. Comenianae, 67 (1998), 43--55.

[CPR99](R36)

B. Cecon, M. Paolini , and M. Romeo, Optimal interface error estimates for a discrete double obstacle approximation to the prescribed curvature problem, Math. Models Methods Appl. Sci., 9 (1999), 799--823.

[BNP98](R35)

G. Bellettini , M. Novaga , and M. Paolini , An example of three dimensional fattening for linked space curves evolving by curvature, Comm. Partial Differential Equations, 23 (1998), 1475--1492.

[FGP98](R34)

F. Fierro , R. Goglione, and M. Paolini , Numerical simulations of mean curvature flow in presence of a nonconvex anisotropy, Math. Models Methods Appl. Sci., 4 (1998), 573--601.

[BCP97](R33)

G. Bellettini , P. Colli Franzone , and M. Paolini , Convergence of front propagation for anisotropic bistable reaction-diffusion equations, Asymptot. Anal., 15 (1997), 325--358.

[GoPa96](C22)

R. Goglione and M. Paolini , Numerical simulations of crystalline motion by mean curvature with Allen-Cahn relaxation, Free boundary problems, theory and applications, Pitman Res. Notes Math. Ser., 363 (M. Niezg\'odka and P. Strzelecki, eds.), Longman Scientific \& Technical, Harlow (1996), 203--216.

[EPS96](R32)

C.M. Elliott , M. Paolini , and R. Sch\"atzle , Interface estimates for the fully anisotropic Allen-Cahn equation and anisotropic mean curvature flow, Math. Models Methods Appl. Sci., 6 (1996), 1103--1118.

[FiPa96](R31)

F. Fierro and M. Paolini , Numerical evidence of fattening for the mean curvature flow, Math. Models Methods Appl. Sci., 6 (1996), 793--813.

[BePa95d](R30)

G. Bellettini and M. Paolini , Some results on minimal barriers in the sense of De Giorgi applied to driven motion by mean curvature, Rend. Accad. Naz. Sci. XL Mem. Mat. (5), 19 (1995), 43--67.

[Pao95](C21)

M. Paolini , An efficient algorithm for computing anisotropic evolution by mean curvature, Curvature Flows and Related Topics, GAKUTO Internat. Ser. Math. Sci. Appl. 5 (A. Damlamian {\it et al.}, eds.), Gakk\"otosho, Tokyo (1995), 199--213.

[FGP94](R29)

F. Fierro , R. Goglione, and M. Paolini , Finite element minimization of curvature functionals with anisotropy, Calcolo, 3-4 (1994), 191--210.

[BePa96b](R28)

G. Bellettini and M. Paolini , Anisotropic motion by mean curvature in the context of Finsler geometry, Hokkaido Math. J., 25 (1996), 537--566.

[BePa95c](R27)

G. Bellettini and M. Paolini , Teoremi di confronto tra diverse nozioni di movimento secondo la curvatura media, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. (9) Mat. Appl., 6 (1995), 45--54.

[Pao97](R26)

M. Paolini , A quasi-optimal error estimate for a discrete singularly perturbed approximation to the prescribed curvature problem, Math. Comp., 66 (1997), 45--67.

[BPV96](R25)

G. Bellettini , M. Paolini , and S. Venturini, Some results on surface measures in Calculus of Variations, Ann. Mat. Pura Appl., 170 (1996), 329--359.

[NPV96a](R24)

R.H. Nochetto , M. Paolini , and C. Verdi , A dynamic mesh algorithm for curvature dependent evolving interfaces, J. Comput. Phys., 123 (1996), 296--310.

[BePa94c](RT8)

G. Bellettini and M. Paolini , Su un modello di Mumford e Nitzberg per la segmentazione di immagini, Seminario di Analisi Matematica, Dipartimento di Matematica dell'Universit\'a di Bologna, 28 aprile (1994), 72--85.

[CMPV94](RT7)

R. Caselli, S. Mazzullo, M. Paolini , and C. Verdi , Models, experiments, and numerical simulation of isothermal crystallization of polymers, Proceedings of the Seventh European Conference on Mathematics in Industry, March 2-6, 1993 Montecatini Terme (A. Fasano and M. Primicerio, eds.), B. G. Teubner, Stuttgart (1994), 167--174.

[BePa94b](R23)

G. Bellettini and M. Paolini , Two examples of fattening for the curvature flow with a driving force, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. (9) Mat. Appl., 5 (1994), 229--236.

[NPV94b](R22)

R.H. Nochetto , M. Paolini , and C. Verdi , Quadratic rate of convergence for curvature dependent smooth interfaces: a simple proof, Appl. Math. Lett., 7 (1994), 59--63.

[BePa96a](R21)

G. Bellettini and M. Paolini , Numerical simulations of measurements of capillary contact angles, IMA J. Numer. Anal., 16 (1996), 165--178.

[BePa94a](R20)

G. Bellettini and M. Paolini , Convex approximations of an inhomogeneous anisotropic functional, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. (9) Mat. Appl., 5 (1994), 177--187.

[BePa95b](R19)

G. Bellettini and M. Paolini , Variational properties of an image segmentation functional depending on contours curvature, Adv. Math. Sci. Appl., 5 (1995), 681--715.

[BePa95](R18)

G. Bellettini and M. Paolini , Quasi-optimal error estimates for the mean curvature flow with a forcing term, Differential Integral Equations, 8 (1995), 735--752.

[BePa93](C20)

G. Bellettini and M. Paolini , Approssimazione variazionale di funzionali con curvatura, Seminario di Analisi Matematica, Dipartimento di Matematica dell'Universit\'a di Bologna, 11 marzo (1993), 87--97.

[NPV95](R17)

R.H. Nochetto , M. Paolini , and C. Verdi , Double obstacle formulation with variable relaxation parameter for smooth geometric front evolutions: asymptotic interface error estimates, Asymptotic Anal., 10 (1995), 173--198.

[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.

[NPV93d](C18)

R.H. Nochetto , M. Paolini , and C. Verdi , Geometric motion of interfaces, Boundary value Problems for Partial Differential Equations and Applications 29 (J.-L. Lions, C. Baiocchi, eds.), Masson, Paris (1993), 403--408.

[NPRV94](C17)

R.H. Nochetto , M. Paolini , S. Rovida, and C. Verdi , Variational approximation of the geometric motion of fronts, Motion by Mean Curvature and Related Topics (G. Buttazzo and A. Visintin, eds.), Gruyter, Berlin (1994), 124--149.

[AFPPV94](RT6)

D. Andreucci, A. Fasano, M. Paolini , M. Primicerio, and C. Verdi , Numerical simulation of polymer crystallization, Math. Models Methods Appl. Sci., 4 (1994), 135--145.

[NPV93b](R16)

R.H. Nochetto , M. Paolini , and C. Verdi , Sharp error analysis for curvature dependent evolving fronts, Math. Models Methods Appl. Sci., 3 (1993), 711--723.

[NPV94c](R15)

R.H. Nochetto , M. Paolini , and C. Verdi , Optimal interface error estimates for the mean curvature flow, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 21 (1994), 193--212.

[MPV92A](RT5)

S. Mazzullo, M. Paolini , and C. Verdi , Modelli, esperimenti e simulazione di cristallizzazione di polimeri, Preprint (1992).

[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.

[BDP93](R13)

G. Bellettini , G. Dal Maso, and M. Paolini , Semicontinuity and relaxation properties of a curvature depending functional in 2D, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 20 (1993), 247--297.

[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.

[BPV91e](C16)

G. Bellettini , M. Paolini , and C. Verdi , $\Gamma$-convergence and numerical approximation of interface problems, Proc. 9th France-USSR-Italy Joint Symposium in Computational Mathematics and Applications (Sophia-Antipolis, France, 1991) (1991), 23--46.

[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.

[PaVe92b](R11)

M. Paolini and C. Verdi , Asymptotic and numerical analyses of the mean curvature flow with a space-dependent relaxation parameter, Asymptotic Anal., 5 (1992), 553--574.

[BPV92a](C14)

G. Bellettini , M. Paolini , and C. Verdi , Numerical minimization of functionals with curvature by convex approximations, Progress in partial differential equations: calculus of variations, applications, Pitman RNM 267 (C. Bandle {\it et al.}, eds.), Longman, Harlow (1992), 124--138.

[BPV91a](R10)

G. Bellettini , M. Paolini , and C. Verdi , Convex approximations of functionals with curvature, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. (9) Mat. Appl., 2 (1991), 297--306.

[BPV91c](R9)

G. Bellettini , M. Paolini , and C. Verdi , Numerical minimization of geometrical type problems related to calculus of variations, Calcolo, 27 (1991), 251--278.

[PaTe91](RT4)

M. Paolini and S. Tentoni, TEK2PS: Un programma per la conversione di files grafici Tektronix in procedure PostScript., Public. IAN - CNR, Pavia, 778 (1991), 1--23.

[BPV90a](R8)

G. Bellettini , M. Paolini , and C. Verdi , $\Gamma$-convergence of discrete approximations to interfaces with prescribed mean curvature, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. (9) Mat. Appl., 1 (1990), 317--328.

[MPV90d](C13)

S. Mazzullo, M. Paolini , and C. Verdi , Simulazione numerica di modelli di cambiamento di fase nella solidificazione dei po\-li\-me\-ri, Proc. Convegno Modelli Matematici ed Esperimenti di Cristallizzazione dei Polimeri (Ferrara, 1990), Himont Italia, Ferrara (1990), 59--65.

[BPV91d](C12)

G. Bellettini , M. Paolini , and C. Verdi , Front-tracking and variational methods to approximate interfaces with prescribed mean curvature, Numerical Methods for Free Boundary Problems (Jyv\"askyl\"a, 1990), Internat. Schriftenreihe Numer. Math., 99, Birkh\"auser, Basel (1991), 83--92.

[MPV91b](C11)

S. Mazzullo, M. Paolini , and C. Verdi , An axisymmetric analysis of thermal effects during cementation of femoral prostheses, Proc. Conference on Numerical Methods for Free Boundary Problems (Jyv\"askyl\"a, 1990, P. Neittaanm\"aki ed.), Birkh\"auser, Basel (1991), 259--269.

[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.

[MPV91a](R7)

S. Mazzullo, M. Paolini , and C. Verdi , Numerical simulation of thermal bone necrosis during cementation of femoral prostheses, J. Math. Biol., 29 (1991), 475--494.

[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.

[BPV90d](C7)

G. Bellettini , M. Paolini , and C. Verdi , Convergence of discrete approximations to sets of prescribed mean curvature, Free boundary problems involving solids, Pitman Research Notes in Mathematics Series 281 (J.M. Chadam and H. Rasmussen, eds.), Longman Scientific \& Technical, Harlow (1993), 164--169.

[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.

[CDP89](R4)

L. Carrioli, M. Diani, and M. Paolini , Shortest path search: a formalization and a parallel implementation, Public. IAN - CNR, Pavia, 716 (1989), 1--29.

[MPV90a](C1)

S. Mazzullo, M. Paolini , and C. Verdi , Numerical approximation of free boundary problems in polymer crystallization, Proc. Third European Conference on Mathematics in Industry (Glasgow, 1988, J. Manley et al., eds.), Kluwer Academic Publisher and G.B. Teubner, Stuttgart (1990), 437--443.

[MPV89](R3)

S. Mazzullo, M. Paolini , and C. Verdi , Polymer crystallization and processing: free boundary problems and their numerical approximation, Math. Engng. Ind., 2 (1989), 219--232.

[PaVe90](R2)

M. Paolini and C. Verdi , An automatic triangular mesh generator for planar domains, Riv. Inform., 20 (1990), 251--267.

[PaVe88](RT3)

M. Paolini and C. Verdi , Un generatore automatico di reticolazioni triangolari per domini piani, Public. IAN - CNR, Pavia, 614 (1988), 1--21.

[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.