Robust flux error estimation of an unfitted Nitsche method for high-contrast interface problems

Burman, Erik; Guzmán, Johnny; Sánchez, Manuel A; Sarkis, Marcus

doi:10.1093/imanum/drx017

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Robust flux error estimation of an unfitted Nitsche method for high-contrast interface problems

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Abstract

We prove an optimal error estimate for the flux variable using 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

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Robust flux error estimation of an unfitted Nitsche method for high-contrast interface problems

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