Robust flux error estimation of an unfitted Nitsche method for high-contrast interface problems
arXiv:1602.0060347 citationsh-index: 48
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Provides a theoretical guarantee for flux accuracy in unfitted methods for high-contrast interface problems, which is important for numerical simulations in materials science and fluid dynamics.
The authors prove an optimal error estimate for the flux variable in a stabilized unfitted Nitsche finite element method for elliptic interface problems with discontinuous coefficients, showing the estimate is independent of the diffusion coefficients.
We prove an optimal error estimate for the flux variable for a stabilized unfitted Nitsche finite element method applied to an elliptic interface problem with discontinuous constant coefficients. Our result shows explicitly that this error estimate is totally independent of the diffusion coefficients