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.
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}
}
