@article {2003, title = {A finite element approximation of the Griffith\\\'s model in fracture mechanics}, journal = {Numer. Math., 2003, 95, 653}, number = {SISSA;91/00/M}, year = {2003}, publisher = {SISSA Library}, abstract = {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.}, doi = {10.1007/s00211-003-0456-y}, url = {http://hdl.handle.net/1963/1548}, author = {Matteo Negri} } @article {2002, title = {Linearized elasticity as gamma-limit of finite elasticity}, journal = {Set-Valued Anal. 10 (2002), p.165-183}, number = {SISSA;69/2001/M}, year = {2002}, publisher = {Springer}, doi = {10.1023/A:1016577431636}, url = {http://hdl.handle.net/1963/3052}, author = {Gianni Dal Maso and Matteo Negri and Danilo Percivale} } @mastersthesis {2001, title = {Numerical Methods for Free-Discontinuity Problems Based on Approximations by Γ-Convergence}, year = {2001}, school = {SISSA}, keywords = {Mumford-Shah functional}, url = {http://hdl.handle.net/1963/5399}, author = {Matteo Negri} } @article {2001, title = {Numerical minimization of the Mumford-Shah functional}, journal = {Calcolo, 2001, 38, 67}, number = {SISSA;3/00/M}, year = {2001}, publisher = {SISSA Library}, doi = {10.1007/s100920170004}, url = {http://hdl.handle.net/1963/1461}, author = {Matteo Negri and Maurizio Paolini} } @article {1999, title = {The anisotropy introduced by the mesh in the finite element approximation of the Mumford-Shah functional}, journal = {Numer. Funct. Anal. Optim. 20 (1999), no. 9-10, 957-982}, number = {SISSA;62/99/M}, year = {1999}, publisher = {Taylor and Francis}, abstract = {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.}, doi = {10.1080/01630569908816934}, url = {http://hdl.handle.net/1963/1276}, author = {Matteo Negri} }