TY - JOUR
T1 - A finite element approximation of the Griffith\\\'s model in fracture mechanics
JF - Numer. Math., 2003, 95, 653
Y1 - 2003
A1 - Matteo Negri
AB - The Griffith model for the mechanics of fractures in brittle materials is consider in the weak formulation of SBD spaces. We suggest an approximation, in the sense of Gamma-convergence, by a sequence of discrete functionals defined on finite elements spaces over structured and adaptive triangulations. The quasi-static evolution for boundary value problems is also taken into account and some numerical results are shown.
PB - SISSA Library
UR - http://hdl.handle.net/1963/1548
U1 - 2570
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -
TY - JOUR
T1 - Linearized elasticity as gamma-limit of finite elasticity
JF - Set-Valued Anal. 10 (2002), p.165-183
Y1 - 2002
A1 - Gianni Dal Maso
A1 - Matteo Negri
A1 - Danilo Percivale
PB - Springer
UR - http://hdl.handle.net/1963/3052
U1 - 1281
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -
TY - THES
T1 - Numerical Methods for Free-Discontinuity Problems Based on Approximations by Γ-Convergence
Y1 - 2001
A1 - Matteo Negri
KW - Mumford-Shah functional
PB - SISSA
UR - http://hdl.handle.net/1963/5399
U1 - 5226
U2 - Mathematics
U3 - Functional Analysis and Applications
U4 - -1
ER -
TY - JOUR
T1 - Numerical minimization of the Mumford-Shah functional
JF - Calcolo, 2001, 38, 67
Y1 - 2001
A1 - Matteo Negri
A1 - Maurizio Paolini
PB - SISSA Library
UR - http://hdl.handle.net/1963/1461
U1 - 3079
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -
TY - JOUR
T1 - The anisotropy introduced by the mesh in the finite element approximation of the Mumford-Shah functional
JF - Numer. Funct. Anal. Optim. 20 (1999), no. 9-10, 957-982
Y1 - 1999
A1 - Matteo Negri
AB - We compute explicitly the anisotropy effect in the H1 term, generated in the approximation of the Mumford-Shah functional by finite element spaces defined on structured triangulations.
PB - Taylor and Francis
UR - http://hdl.handle.net/1963/1276
U1 - 3179
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -