Cristina Padovani

A semidefinite programming approach for the projection onto the cone of negative semidefinite symmetric tensors with applications to solid mechanics

  • Cristina Padovani
  • Margherita Porcelli
    • Categories Civil and Environmental Engineering, Linear, Cone and Semidefinite Programming Tags , , ,

    We propose an algorithm for computing the projection of a symmetric second-order tensor onto the cone of negative semidefinite symmetric tensors with respect to the inner product defined by an assigned positive definite symmetric fourth-order tensor C. The projection problem is written as a semidefinite programming problem and an algorithm based on a primal-dual path-following … Read more

    FINITE ELEMENT MODEL UPDATING FOR STRUCTURAL APPLICATIONS

  • Maria Girardi
  • Margherita Porcelli
  • Cristina Padovani
  • Daniele Pellegrini
  • Leonardo Robol
    • Categories Civil and Environmental Engineering, Nonlinear Optimization Tags , , , ,

    A novel method for performing model updating on finite element models is presented. The approach is particularly tailored to modal analyses of buildings, by which the lowest frequencies, obtained by using sensors and system identification approaches, need to be matched to the numerical ones predicted by the model. This is done by optimizing some unknown … Read more