First-order system least squares on curved boundaries: Higher-order Raviart-Thomas elements

Fleurianne Bertrand, Steffen Münzenmaier, Gerhard Starke

Research output: Contribution to journalArticleAcademicpeer-review

12 Citations (Scopus)

Abstract

With this paper, our investigation of the finite element approximation on curved boundaries using Raviart-Thomas spaces in the context of first-order system least squares methods is continued and extended to the higher-order case. It is shown that the optimal order of convergence is retained from the lowest-order case if a parametric version of Raviart-Thomas elements is used. This is illustrated numerically for an elliptic boundary value problem involving a circular boundary curve.

Original languageEnglish
Pages (from-to)3165-3180
Number of pages16
JournalSIAM Journal on Numerical Analysis
Volume52
Issue number6
DOIs
Publication statusPublished - 2014
Externally publishedYes

Keywords

  • Firstorder system least squares
  • Interpolated boundaries
  • Parametric finite elements
  • Raviart-Thomas spaces

Fingerprint

Dive into the research topics of 'First-order system least squares on curved boundaries: Higher-order Raviart-Thomas elements'. Together they form a unique fingerprint.

Cite this