First order least-squares formulations for eigenvalue problems

Fleurianne Herveline Bertrand, Daniele Boffi

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we discuss spectral properties of operators associated with the least-squares finite-element approximation of elliptic partial differential equations. The convergence of the discrete eigenvalues and eigenfunctions towards the corresponding continuous eigenmodes is studied and analyzed with the help of appropriate L2 error estimates. A priori and a posteriori estimates are proved.
Original languageEnglish (US)
JournalIMA Journal of Numerical Analysis
DOIs
StatePublished - Mar 4 2021

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics
  • Mathematics(all)

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