Codice 37/2010 Titolo Numerical approximation of internal discontinuity interface problems Data 2010-11-12 Autore/i Discacciati, Marco; Quarteroni, Alfio; Quinodoz, Samuel Link Download full text Abstract This work focuses on the finite element discretization of boundary value problems whose solution presents either a discontinuity and/or a discontinuous conormal derivative across an interface inside the computational domain. The interface is characterized via a level-set function. The discontinuities are accounted for using suitable extension operators whose numerical implementation requires a very low computational effort. Numerical results to validate our approach are presented in one, two and three dimensions.