Numerical approximation of internal discontinuity interface problems

Author (s): Discacciati, M.; Quarteroni, A. and Quinodoz, S.
Journal: Journal on Scientific Computing (SIAM)

Volume: 35, Number 3
Pages: 2341 – 2369
Date: 2013

Abstract:
This 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.

Journal paper (from the publisher)  
UPCommons page Link  

Bibtex:

@article {DQQ:13,
    AUTHOR = {M. Discacciati and A. Quarteroni and S. Quinodoz},
     TITLE = {Numerical approximation of internal discontinuity interface problems},
   JOURNAL = {SIAM J. Sci. Comput.},
  FJOURNAL = {SIAM Journal on Scientific Computing},
    VOLUME = {35},
      YEAR = {2013},
    NUMBER = {5},
     PAGES = {A2341--A2369},
      ISSN = {1064-8275},
       DOI = {10.1137/110850487},
       URL = {http://dx.doi.org/10.1137/110850487}
}