A Finite Element Method for High-Contrast Interface Problems with Error Estimates Independent of Contrast

Johnny Guzmán, Manuel A. Sánchez, Marcus Sarkis

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

We define a new finite element method for a steady state elliptic problem with discontinuous diffusion coefficients where the meshes are not aligned with the interface. We prove optimal error estimates in the L2 norm and H1 weighted semi-norm independent of the contrast between the coefficients. Numerical experiments validating our theoretical findings are provided.

Original languageEnglish (US)
Pages (from-to)330-365
Number of pages36
JournalJournal of Scientific Computing
Volume73
Issue number1
DOIs
StatePublished - Oct 1 2017

Bibliographical note

Funding Information:
J. Guzm?n: supported by NSF- DMS 1318108. M. Sarkis: supported in part by NSF-MRI 1337943 and NSF-MPS 1522663.

Publisher Copyright:
© 2017, Springer Science+Business Media New York.

Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.

Keywords

  • Finite elements
  • High-contrast
  • Interface problems

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