Numerical approximation of internal discontinuity interface problems
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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 in- terface 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 implementa- tion 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.
CitationDiscacciati, M.; Quarteroni, A.; Quinodoz, S. Numerical approximation of internal discontinuity interface problems. "SIAM journal on scientific computing", 23 Octubre 2013, vol. 35, núm. 5, p. A2341-A2369.