Anisotropic motion by mean curvature in the context of Finsler geometry. Zbl 0873.53011
Bellettini, G.; Paolini, M. |
|
1996
|
On a crystalline variational problem. I: First variation and global \(L^\infty\) regularity. Zbl 0976.58016
Bellettini, G.; Novaga, M.; Paolini, M. |
|
2001
|
Characterization of facet breaking for nonsmooth mean curvature flow in the convex case. Zbl 0989.35127
Bellettini, G.; Novaga, M.; Paolini, M. |
|
2001
|
Semicontinuity and relaxation properties of a curvature depending functional in 2D. Zbl 0797.49013
Bellettini, G.; Dal Maso, G.; Paolini, M. |
|
1993
|
An adaptive finite element method for two-phase Stefan problems in two space dimensions. II: Implementation and numerical experiments. Zbl 0733.65088
Nochetto, R. H.; Paolini, M.; Verdi, C. |
|
1991
|
An adaptive finite element method for two-phase Stefan problems in two space dimensions. I: Stability and error estimates. Zbl 0733.65087
Nochetto, R. H.; Paolini, M.; Verdi, C. |
|
1991
|
On a crystalline variational problem. II: \(BV\) regularity and structure of minimizers on facets. Zbl 0976.58017
Bellettini, G.; Novaga, M.; Paolini, M. |
|
2001
|
Facet-breaking for three-dimensional crystals evolving by mean curvature. Zbl 0934.49023
Bellettini, G.; Novaga, M.; Paolini, M. |
|
1999
|
Quasi-optimal error estimates for the mean curvature flow with a forcing term. Zbl 0820.49019
Bellettini, G.; Paolini, M. |
|
1995
|
Some results on surface measures in calculus of variations. Zbl 0890.49020
Bellettini, G.; Paolini, M.; Venturini, S. |
|
1996
|
Some results on minimal barriers in the sense of De Giorgi applied to driven motion by mean curvature. Zbl 0944.53039
Bellettini, G.; Paolini, M. |
|
1995
|
Asymptotic and numerical analyses of the mean curvature flow with a space-dependent relaxation parameter. Zbl 0757.65078
Paolini, M.; Verdi, C. |
|
1992
|
Convergence of discrete schemes for the Perona-Malik equation. Zbl 1155.35002
Bellettini, G.; Novaga, M.; Paolini, M.; Tornese, C. |
|
2008
|
On the motion by singular interfacial energy. Zbl 0984.35090
Giga, Yoshikazu; Paolini, Maurizio; Rybka, Piotr |
|
2001
|
Convergence of front propagation for anisotropic bistable reaction-diffusion equations. Zbl 0902.35052
Bellettini, Giovanni; Colli Franzone, Piero; Paolini, Maurizio |
|
1997
|
Optimal interface error estimates for the mean curvature flow. Zbl 0886.35079
Nochetto, R. H.; Paolini, M.; Verdi, C. |
|
1994
|
Interface estimates for the fully anisotropic Allen-Cahn equation and anisotropic mean-curvature flow. Zbl 0873.35039
Elliott, Charles M.; Paolini, Maurizio; Schätzle, Reiner |
|
1996
|
Convergence for long-times of a semidiscrete Perona-Malik equation in one dimension. Zbl 1218.35034
Bellettini, G.; Novaga, M.; Paolini, M. |
|
2011
|
On the area of the graph of a singular map from the plane to the plane taking three values. Zbl 1200.49010
Bellettini, Giovanni; Paolini, Maurizio |
|
2010
|
Sharp error analysis for curvature dependent evolving fronts. Zbl 0802.65124
Nochetto, Ricardo H.; Paolini, Maurizio; Verdi, Claudio |
|
1993
|
Numerical simulations of mean curvature flow in the presence of a nonconvex anisotropy. Zbl 0946.58014
Fierro, Francesca; Goglione, Roberta; Paolini, Maurizio |
|
1998
|
Two examples of fattening for the curvature flow with a driving force. Zbl 0826.35051
Bellettini, Giovanni; Paolini, Maurizio |
|
1994
|
A dynamic mesh algorithm for curvature dependent evolving interfaces. Zbl 0851.65067
Nochetto, R. H.; Paolini, M.; Verdi, C. |
|
1996
|
\(\Gamma\)-convergence of discrete approximations to interfaces with prescribed mean curvature. Zbl 0721.49038
Bellettini, Giovanni; Paolini, Maurizio; Verdi, Claudio |
|
1990
|
On the area of the graph of a piecewise smooth map from the plane to the plane with a curve discontinuity. Zbl 1338.49023
Bellettini, Giovanni; Paolini, Maurizio; Tealdi, Lucia |
|
2016
|
Finite element approximations of singular parabolic problems. Zbl 0664.65110
Paolini, M.; Sacchi, G.; Verdi, C. |
|
1988
|
Nonconvex mean curvature flow as a formal singular limit of the nonlinear bidomain model. Zbl 1272.53054
Bellettini, Giovanni; Paolini, Maurizio; Pasquarelli, Franco |
|
2013
|
Semicartesian surfaces and the relaxed area of maps from the plane to the plane with a line discontinuity. Zbl 1352.49007
Bellettini, Giovanni; Paolini, Maurizio; Tealdi, Lucia |
|
2016
|
On the relaxed area of the graph of discontinuous maps from the plane to the plane taking three values with no symmetry assumptions. Zbl 1436.49053
Bellettini, Giovanni; Elshorbagy, Alaa; Paolini, Maurizio; Scala, Riccardo |
|
2020
|
Convex approximations of functionals with curvature. Zbl 0754.65066
Bellettini, Giovanni; Paolini, Maurizio; Verdi, Claudio |
|
1991
|
A quasi-optimal error estimate for a discrete singularly perturbed approximation to the prescribed curvature problem. Zbl 0854.35008
Paolini, Maurizio |
|
1997
|
A fully discrete adaptive nonlinear Chernoff formula. Zbl 0805.65135
Nochetto, R. H.; Paolini, M.; Verdi, C. |
|
1993
|
Variational properties of an image segmentation functional depending on contours curvature. Zbl 0853.49014
Bellettini, G.; Paolini, M. |
|
1995
|
Numerical evidence of fattening for the mean curvature flow. Zbl 0861.35050
Fierro, Francesca; Paolini, Maurizio |
|
1996
|
An example of three dimensional fatterning for linked space curves evolving by curvature. Zbl 0958.35065
Bellettini, Giovanni; Novaga, Matteo; Paolini, Maurizio |
|
1998
|
Constrained BV functions on covering spaces for minimal networks and Plateau’s type problems. Zbl 1366.49044
Amato, Stefano; Bellettini, Giovanni; Paolini, Maurizio |
|
2017
|
An efficient algorithm for computing anisotropic evolution by mean curvature. Zbl 0838.73079
Paolini, Maurizio |
|
1995
|
Shape reconstruction from apparent contours. Theory and algorithms. Zbl 1405.57001
Bellettini, Giovanni; Beorchia, Valentina; Paolini, Maurizio; Pasquarelli, Franco |
|
2015
|
Classification of equilibria and \(\Gamma \)-convergence for the discrete Perona-Malik functional. Zbl 1210.47082
Bellettini, G.; Novaga, M.; Paolini, M.; Tornese, C. |
|
2009
|
Numerical minimization of geometrical type problems related to calculus of variations. Zbl 0733.49039
Bellettini, G.; Paolini, M.; Verdi, C. |
|
1990
|
Covers, soap films and BV functions. Zbl 1393.49030
Bellettini, Giovanni; Paolini, Maurizio; Pasquarelli, Franco; Scianna, Giuseppe |
|
2018
|
Unstable crystalline Wulff shapes in 3D. Zbl 1032.82027
Paolini, Maurizio; Pasquarelli, Franco |
|
2002
|
Numerical simulation of polymer crystallization. Zbl 0805.92031
Andreucci, Daniele; Fasano, Antonio; Primicerio, Mario; Paolini, Maurizio; Verdi, Claudio |
|
1994
|
Quadratic rate of convergence for curvature dependent smooth interfaces: A simple proof. Zbl 0823.35013
Nochetto, R. H.; Paolini, M.; Verdi, C. |
|
1994
|
Variational approximation of the geometric motion of fronts. Zbl 0814.35051
Nochetto, Ricardo H.; Paolini, Maurizio; Rovida, Sergio; Verdi, Claudio |
|
1994
|
The nonlinear multidomain model: a new formal asymptotic analysis. Zbl 1304.35048
Amato, Stefano; Bellettini, Giovanni; Paolini, Maurizio |
|
2013
|
Numerical simulations of measurements of capillary contact angles. Zbl 0851.76010
Bellettini, G.; Paolini, M. |
|
1996
|
Triple covers and a non-simply connected surface spanning an elongated tetrahedron and beating the cone. Zbl 1417.49053
Bellettini, Giovanni; Paolini, Maurizio; Pasquarelli, Franco |
|
2018
|
Front-tracking and variational methods to approximate interfaces with prescribed mean curvature. Zbl 0754.65065
Bellettini, G.; Paolini, M.; Verdi, C. |
|
1991
|
Convergence of discrete approximations to sets of prescribed mean curvature. Zbl 0793.35125
Belletini, G.; Paolini, M.; Verdi, C. |
|
1993
|
Continuous and semidiscrete travelling waves for a phase relaxation model. Zbl 0812.35166
Nochetto, Ricardo H.; Paolini, Maurizio; Verdi, Claudio |
|
1994
|
Polymer crystallization and processing: Free boundary problems and their numerical approximation. Zbl 0875.35145
Mazzullo, S.; Paolini, M.; Verdi, C. |
|
1989
|
Double obstacle formulation with variable relaxation parameter for smooth geometric front evolutions: Asymptotic interface error estimates. Zbl 0852.35060
Nochetto, R. H.; Paolini, M.; Verdi, C. |
|
1995
|
Topological and variational properties of a model for the reconstruction of three-dimensional transparent images with self-occlusions. Zbl 1523.68103
Bellettini, Giovanni; Beorchia, Valentina; Paolini, Maurizio |
|
2008
|
Selfadaptive mesh modification for parabolic FBPs: Theory and computation. Zbl 0716.65112
Nochetto, R. H.; Paolini, M.; Verdi, C. |
|
1990
|
Numerical simulation of crystalline curvature flow in 3D by interface diffusion. Zbl 0979.53076
Paolini, Maurizio; Pasquarelli, Franco |
|
2000
|
Fattening on two dimensions obtained with a nonsymmetric anisotropy: Numerical simulations. Zbl 0930.35081
Paolini, M. |
|
1998
|
Numerical minimization of the Mumford–Shah functional. Zbl 1017.49017
Negri, M.; Paolini, M. |
|
2001
|
Numerical irreducibility criteria for handlebody links. Zbl 1455.57006
Bellettini, Giovanni; Paolini, Maurizio; Wang, Yi-Sheng |
|
2020
|
A complete invariant for connected surfaces in the 3-sphere. Zbl 1439.57041
Bellettini, Giovanni; Paolini, Maurizio; Wang, Yi-Sheng |
|
2020
|
An axisymmetric analysis of thermal effects during cementation of femoral prostheses. Zbl 0743.92018
Mazzullo, S.; Paolini, M.; Verdi, C. |
|
1991
|
Numerical minimization of functionals with curvature by convex approximations. Zbl 0790.53005
Bellettini, G.; Paolini, M.; Verdi, C. |
|
1993
|
Convex approximation of an inhomogeneous anisotropic functional. Zbl 0809.65069
Bellettini, Giovanni; Paolini, Maurizio |
|
1994
|
Numerical simulations of crystalline motion by mean curvature with Allen-Cahn relaxation. Zbl 0864.35125
Goglione, R.; Paolini, M. |
|
1996
|
Comparison theorems between different notions of motion by mean curvature. Zbl 0834.35062
Bellettini, Giovanni; Paolini, Maurizio |
|
1995
|
An optimal bound on the number of moves for open mancala. Zbl 1320.91043
Musesti, Alessandro; Paolini, Maurizio; Reale, Cesco |
|
2015
|
A table of \(n\)-component handlebody links of genus \(n+1\) up to six crossings. Zbl 1504.57015
Bellettini, Giovanni; Paolini, Giovanni; Paolini, Maurizio; Wang, Yi-Sheng |
|
2023
|
A table of \(n\)-component handlebody links of genus \(n+1\) up to six crossings. Zbl 1504.57015
Bellettini, Giovanni; Paolini, Giovanni; Paolini, Maurizio; Wang, Yi-Sheng |
|
2023
|
On the relaxed area of the graph of discontinuous maps from the plane to the plane taking three values with no symmetry assumptions. Zbl 1436.49053
Bellettini, Giovanni; Elshorbagy, Alaa; Paolini, Maurizio; Scala, Riccardo |
|
2020
|
Numerical irreducibility criteria for handlebody links. Zbl 1455.57006
Bellettini, Giovanni; Paolini, Maurizio; Wang, Yi-Sheng |
|
2020
|
A complete invariant for connected surfaces in the 3-sphere. Zbl 1439.57041
Bellettini, Giovanni; Paolini, Maurizio; Wang, Yi-Sheng |
|
2020
|
Covers, soap films and BV functions. Zbl 1393.49030
Bellettini, Giovanni; Paolini, Maurizio; Pasquarelli, Franco; Scianna, Giuseppe |
|
2018
|
Triple covers and a non-simply connected surface spanning an elongated tetrahedron and beating the cone. Zbl 1417.49053
Bellettini, Giovanni; Paolini, Maurizio; Pasquarelli, Franco |
|
2018
|
Constrained BV functions on covering spaces for minimal networks and Plateau’s type problems. Zbl 1366.49044
Amato, Stefano; Bellettini, Giovanni; Paolini, Maurizio |
|
2017
|
On the area of the graph of a piecewise smooth map from the plane to the plane with a curve discontinuity. Zbl 1338.49023
Bellettini, Giovanni; Paolini, Maurizio; Tealdi, Lucia |
|
2016
|
Semicartesian surfaces and the relaxed area of maps from the plane to the plane with a line discontinuity. Zbl 1352.49007
Bellettini, Giovanni; Paolini, Maurizio; Tealdi, Lucia |
|
2016
|
Shape reconstruction from apparent contours. Theory and algorithms. Zbl 1405.57001
Bellettini, Giovanni; Beorchia, Valentina; Paolini, Maurizio; Pasquarelli, Franco |
|
2015
|
An optimal bound on the number of moves for open mancala. Zbl 1320.91043
Musesti, Alessandro; Paolini, Maurizio; Reale, Cesco |
|
2015
|
Nonconvex mean curvature flow as a formal singular limit of the nonlinear bidomain model. Zbl 1272.53054
Bellettini, Giovanni; Paolini, Maurizio; Pasquarelli, Franco |
|
2013
|
The nonlinear multidomain model: a new formal asymptotic analysis. Zbl 1304.35048
Amato, Stefano; Bellettini, Giovanni; Paolini, Maurizio |
|
2013
|
Convergence for long-times of a semidiscrete Perona-Malik equation in one dimension. Zbl 1218.35034
Bellettini, G.; Novaga, M.; Paolini, M. |
|
2011
|
On the area of the graph of a singular map from the plane to the plane taking three values. Zbl 1200.49010
Bellettini, Giovanni; Paolini, Maurizio |
|
2010
|
Classification of equilibria and \(\Gamma \)-convergence for the discrete Perona-Malik functional. Zbl 1210.47082
Bellettini, G.; Novaga, M.; Paolini, M.; Tornese, C. |
|
2009
|
Convergence of discrete schemes for the Perona-Malik equation. Zbl 1155.35002
Bellettini, G.; Novaga, M.; Paolini, M.; Tornese, C. |
|
2008
|
Topological and variational properties of a model for the reconstruction of three-dimensional transparent images with self-occlusions. Zbl 1523.68103
Bellettini, Giovanni; Beorchia, Valentina; Paolini, Maurizio |
|
2008
|
Unstable crystalline Wulff shapes in 3D. Zbl 1032.82027
Paolini, Maurizio; Pasquarelli, Franco |
|
2002
|
On a crystalline variational problem. I: First variation and global \(L^\infty\) regularity. Zbl 0976.58016
Bellettini, G.; Novaga, M.; Paolini, M. |
|
2001
|
Characterization of facet breaking for nonsmooth mean curvature flow in the convex case. Zbl 0989.35127
Bellettini, G.; Novaga, M.; Paolini, M. |
|
2001
|
On a crystalline variational problem. II: \(BV\) regularity and structure of minimizers on facets. Zbl 0976.58017
Bellettini, G.; Novaga, M.; Paolini, M. |
|
2001
|
On the motion by singular interfacial energy. Zbl 0984.35090
Giga, Yoshikazu; Paolini, Maurizio; Rybka, Piotr |
|
2001
|
Numerical minimization of the Mumford–Shah functional. Zbl 1017.49017
Negri, M.; Paolini, M. |
|
2001
|
Numerical simulation of crystalline curvature flow in 3D by interface diffusion. Zbl 0979.53076
Paolini, Maurizio; Pasquarelli, Franco |
|
2000
|
Facet-breaking for three-dimensional crystals evolving by mean curvature. Zbl 0934.49023
Bellettini, G.; Novaga, M.; Paolini, M. |
|
1999
|
Numerical simulations of mean curvature flow in the presence of a nonconvex anisotropy. Zbl 0946.58014
Fierro, Francesca; Goglione, Roberta; Paolini, Maurizio |
|
1998
|
An example of three dimensional fatterning for linked space curves evolving by curvature. Zbl 0958.35065
Bellettini, Giovanni; Novaga, Matteo; Paolini, Maurizio |
|
1998
|
Fattening on two dimensions obtained with a nonsymmetric anisotropy: Numerical simulations. Zbl 0930.35081
Paolini, M. |
|
1998
|
Convergence of front propagation for anisotropic bistable reaction-diffusion equations. Zbl 0902.35052
Bellettini, Giovanni; Colli Franzone, Piero; Paolini, Maurizio |
|
1997
|
A quasi-optimal error estimate for a discrete singularly perturbed approximation to the prescribed curvature problem. Zbl 0854.35008
Paolini, Maurizio |
|
1997
|
Anisotropic motion by mean curvature in the context of Finsler geometry. Zbl 0873.53011
Bellettini, G.; Paolini, M. |
|
1996
|
Some results on surface measures in calculus of variations. Zbl 0890.49020
Bellettini, G.; Paolini, M.; Venturini, S. |
|
1996
|
Interface estimates for the fully anisotropic Allen-Cahn equation and anisotropic mean-curvature flow. Zbl 0873.35039
Elliott, Charles M.; Paolini, Maurizio; Schätzle, Reiner |
|
1996
|
A dynamic mesh algorithm for curvature dependent evolving interfaces. Zbl 0851.65067
Nochetto, R. H.; Paolini, M.; Verdi, C. |
|
1996
|
Numerical evidence of fattening for the mean curvature flow. Zbl 0861.35050
Fierro, Francesca; Paolini, Maurizio |
|
1996
|
Numerical simulations of measurements of capillary contact angles. Zbl 0851.76010
Bellettini, G.; Paolini, M. |
|
1996
|
Numerical simulations of crystalline motion by mean curvature with Allen-Cahn relaxation. Zbl 0864.35125
Goglione, R.; Paolini, M. |
|
1996
|
Quasi-optimal error estimates for the mean curvature flow with a forcing term. Zbl 0820.49019
Bellettini, G.; Paolini, M. |
|
1995
|
Some results on minimal barriers in the sense of De Giorgi applied to driven motion by mean curvature. Zbl 0944.53039
Bellettini, G.; Paolini, M. |
|
1995
|
Variational properties of an image segmentation functional depending on contours curvature. Zbl 0853.49014
Bellettini, G.; Paolini, M. |
|
1995
|
An efficient algorithm for computing anisotropic evolution by mean curvature. Zbl 0838.73079
Paolini, Maurizio |
|
1995
|
Double obstacle formulation with variable relaxation parameter for smooth geometric front evolutions: Asymptotic interface error estimates. Zbl 0852.35060
Nochetto, R. H.; Paolini, M.; Verdi, C. |
|
1995
|
Comparison theorems between different notions of motion by mean curvature. Zbl 0834.35062
Bellettini, Giovanni; Paolini, Maurizio |
|
1995
|
Optimal interface error estimates for the mean curvature flow. Zbl 0886.35079
Nochetto, R. H.; Paolini, M.; Verdi, C. |
|
1994
|
Two examples of fattening for the curvature flow with a driving force. Zbl 0826.35051
Bellettini, Giovanni; Paolini, Maurizio |
|
1994
|
Numerical simulation of polymer crystallization. Zbl 0805.92031
Andreucci, Daniele; Fasano, Antonio; Primicerio, Mario; Paolini, Maurizio; Verdi, Claudio |
|
1994
|
Quadratic rate of convergence for curvature dependent smooth interfaces: A simple proof. Zbl 0823.35013
Nochetto, R. H.; Paolini, M.; Verdi, C. |
|
1994
|
Variational approximation of the geometric motion of fronts. Zbl 0814.35051
Nochetto, Ricardo H.; Paolini, Maurizio; Rovida, Sergio; Verdi, Claudio |
|
1994
|
Continuous and semidiscrete travelling waves for a phase relaxation model. Zbl 0812.35166
Nochetto, Ricardo H.; Paolini, Maurizio; Verdi, Claudio |
|
1994
|
Convex approximation of an inhomogeneous anisotropic functional. Zbl 0809.65069
Bellettini, Giovanni; Paolini, Maurizio |
|
1994
|
Semicontinuity and relaxation properties of a curvature depending functional in 2D. Zbl 0797.49013
Bellettini, G.; Dal Maso, G.; Paolini, M. |
|
1993
|
Sharp error analysis for curvature dependent evolving fronts. Zbl 0802.65124
Nochetto, Ricardo H.; Paolini, Maurizio; Verdi, Claudio |
|
1993
|
A fully discrete adaptive nonlinear Chernoff formula. Zbl 0805.65135
Nochetto, R. H.; Paolini, M.; Verdi, C. |
|
1993
|
Convergence of discrete approximations to sets of prescribed mean curvature. Zbl 0793.35125
Belletini, G.; Paolini, M.; Verdi, C. |
|
1993
|
Numerical minimization of functionals with curvature by convex approximations. Zbl 0790.53005
Bellettini, G.; Paolini, M.; Verdi, C. |
|
1993
|
Asymptotic and numerical analyses of the mean curvature flow with a space-dependent relaxation parameter. Zbl 0757.65078
Paolini, M.; Verdi, C. |
|
1992
|
An adaptive finite element method for two-phase Stefan problems in two space dimensions. II: Implementation and numerical experiments. Zbl 0733.65088
Nochetto, R. H.; Paolini, M.; Verdi, C. |
|
1991
|
An adaptive finite element method for two-phase Stefan problems in two space dimensions. I: Stability and error estimates. Zbl 0733.65087
Nochetto, R. H.; Paolini, M.; Verdi, C. |
|
1991
|
Convex approximations of functionals with curvature. Zbl 0754.65066
Bellettini, Giovanni; Paolini, Maurizio; Verdi, Claudio |
|
1991
|
Front-tracking and variational methods to approximate interfaces with prescribed mean curvature. Zbl 0754.65065
Bellettini, G.; Paolini, M.; Verdi, C. |
|
1991
|
An axisymmetric analysis of thermal effects during cementation of femoral prostheses. Zbl 0743.92018
Mazzullo, S.; Paolini, M.; Verdi, C. |
|
1991
|
\(\Gamma\)-convergence of discrete approximations to interfaces with prescribed mean curvature. Zbl 0721.49038
Bellettini, Giovanni; Paolini, Maurizio; Verdi, Claudio |
|
1990
|
Numerical minimization of geometrical type problems related to calculus of variations. Zbl 0733.49039
Bellettini, G.; Paolini, M.; Verdi, C. |
|
1990
|
Selfadaptive mesh modification for parabolic FBPs: Theory and computation. Zbl 0716.65112
Nochetto, R. H.; Paolini, M.; Verdi, C. |
|
1990
|
Polymer crystallization and processing: Free boundary problems and their numerical approximation. Zbl 0875.35145
Mazzullo, S.; Paolini, M.; Verdi, C. |
|
1989
|
Finite element approximations of singular parabolic problems. Zbl 0664.65110
Paolini, M.; Sacchi, G.; Verdi, C. |
|
1988
|