English

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

Numerical Analysis 2016-10-18 v2

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

Keywords

Cite

@article{arxiv.1602.00603,
  title  = {Robust flux error estimation of an unfitted Nitsche method for high-contrast interface problems},
  author = {Erik Burman and Johnny Guzman and Manuel A. Sanchez and Marcus Sarkis},
  journal= {arXiv preprint arXiv:1602.00603},
  year   = {2016}
}

Comments

10 pages

R2 v1 2026-06-22T12:41:09.058Z