Numerical approximation of internal discontinuity interface problems

Code:
37/2010
Title:
Numerical approximation of internal discontinuity interface problems
Date:
Friday 12th November 2010
Author(s):
Discacciati, Marco; Quarteroni, Alfio; Quinodoz, Samuel
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Abstract:
This work focuses on the finite element discretization of boundary value problems whose solution presents either a discontinuity and/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 using suitable extension operators whose numerical implementation requires a very low computational e ffort. Numerical results to validate our approach are presented in one, two and three dimensions.