Unfitted mixed finite element methods for elliptic interface problems

Najwa Alshehri, Daniele Boffi, Lucia Gastaldi

Research output: Contribution to journalArticlepeer-review


In this article, new unfitted mixed finite elements are presented for elliptic interface problems with jump coefficients. Our model is based on a fictitious domain formulation with distributed Lagrange multiplier. The relevance of our investigations is better seen when applied to the framework of fluid-structure interaction problems. Two finite element schemes with piecewise constant Lagrange multiplier are proposed and their stability is proved theoretically. Numerical results compare the performance of those elements, confirming the theoretical proofs and verifying that the schemes converge with optimal rates.
Original languageEnglish (US)
JournalNumerical Methods for Partial Differential Equations
StatePublished - Aug 11 2023

ASJC Scopus subject areas

  • Computational Mathematics
  • Analysis
  • Applied Mathematics
  • Numerical Analysis


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