A characterization of hybridized mixed methods for second order elliptic problems

Bernardo Cockburn, Jayadeep Gopalakrishnan

Research output: Contribution to journalArticlepeer-review

105 Scopus citations

Abstract

In this paper, we give a new characterization of the approximate solution given by hybridized mixed methods for second order self-adjoint elliptic problems. We apply this characterization to obtain an explicit formula for the entries of the matrix equation for the Lagrange multiplier unknowns resulting from hybridization. We also obtain necessary and sufficient conditions under which the multipliers of the Raviart-Thomas and the Brezzi-Douglas-Marini methods of similar order are identical.

Original languageEnglish (US)
Pages (from-to)283-301
Number of pages19
JournalSIAM Journal on Numerical Analysis
Volume42
Issue number1
DOIs
StatePublished - 2004

Keywords

  • Elliptic problems
  • Hybrid methods
  • Mixed finite elements

Fingerprint Dive into the research topics of 'A characterization of hybridized mixed methods for second order elliptic problems'. Together they form a unique fingerprint.

Cite this