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

2016/02/01 by Burman, Erik, Guzman, Johnny, Sanchez, Manuel A. +1 · 1 citation
#65N15 #65N30 #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1602.00603

Abstract

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

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• Optimal L² error estimation for the unfitted interface finite element method based on the non-symmetric Nitsche's methods

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