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Numerical approximation of internal discontinuity interface problems

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journal contribution
posted on 2015-09-11, 12:53 authored by Marco DiscacciatiMarco Discacciati, Alfio Quarteroni, Samuel Quinodoz
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.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

SIAM J. Scientific Computing

Volume

35

Citation

DISCACCIATI, M., QUARTERONI, A. and QUINODOZ, S., 2013. Numerical approximation of internal discontinuity interface problems. SIAM Journal on Scientific Computing, 35 (5), pp. A2341–A2369.

Publisher

© Society for Industrial and Applied Mathematics

Version

  • VoR (Version of Record)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Publication date

2013

Notes

First published in SIAM Journal on Scientific Computing in 37 (2), published by the Society of Industrial and Applied Mathematics (SIAM) [© Society for Industrial and Applied Mathematics].

ISSN

1064-8275

Language

  • en