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NUMERICAL APPROXIMATION OF INTERNAL DISCONTINUITY INTERFACE PROBLEMS
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DOI：10.1137/110850487.png)
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摘要
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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 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.
Keyword:
finite elements
interface problem
level set
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