Robust flux error estimation of an unfitted Nitsche method for high-contrast interface problems
Erik Burman, Johnny Guzman, Manuel A. Sanchez, Marcus Sarkis
TL;DR
This paper establishes an optimal flux error estimate for a stabilized unfitted Nitsche finite element method applied to high-contrast interface problems, demonstrating independence from diffusion coefficients.
Contribution
It provides the first flux error estimate for an unfitted Nitsche method that is completely independent of high-contrast coefficients.
Findings
Flux error estimate is optimal and coefficient-independent.
Method effectively handles high-contrast interface problems.
Error bounds are explicitly derived and validated.
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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