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Title: Numerical approximation of internal discontinuity interface problems
Authors: Discacciati, Marco
Quarteroni, Alfio
Quinodoz, Samuel
Keywords: Finite elements
Interface problem
Level set
Issue Date: 2013
Publisher: © Society for Industrial and Applied Mathematics
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.
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.
Description: 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].
Version: Published
DOI: 10.1137/110850487
URI: https://dspace.lboro.ac.uk/2134/18716
Publisher Link: http://dx.doi.org/10.1137/110850487
ISSN: 1064-8275
Appears in Collections:Published Articles (Maths)

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