Discacciati, MarcoQuarteroni, AlfioQuinodoz, Samuel2013-12-092013-12-092013-12-09201310.1137/110850487https://infoscience.epfl.ch/handle/20.500.14299/97531WOS:000326348400010This work focuses on the finite element discretization of boundary value problems whose solution features either a discontinuity 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 by using suitable extension operators whose numerical implementation requires a very low computational effort. After carrying out the error analysis, numerical results to validate our approach are presented in one, two, and three dimensions.finite elementsinterface problemlevel settext::journal::journal article::research article