Unfitted mixed finite element methods for elliptic interface problems

Najwa Alshehri, Daniele Boffi, Lucia Gastaldi

Research output: Contribution to journalArticlepeer-review

Abstract

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
DOIs
StatePublished - Aug 11 2023

Bibliographical note

KAUST Repository Item: Exported on 2023-09-07
Acknowledgements: The second author is member of INdAM Research group GNCS, and he is partially supported by PRIN/MIUR. The third author is member of INdAM Research group GNCS, and she is partially supported by PRIN/MIUR and by IMATI/CNR.

ASJC Scopus subject areas

  • Computational Mathematics
  • Analysis
  • Applied Mathematics
  • Numerical Analysis

Fingerprint

Dive into the research topics of 'Unfitted mixed finite element methods for elliptic interface problems'. Together they form a unique fingerprint.

Cite this