Finite element approximation of spectral acoustic problems on curved domains

Erwin Hernández, Rodolfo Rodríguez

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

This paper deals with the finite element approximation of the displacement formulation of the spectral acoustic problem on a curved non convex two-dimensional domain Ω. Convergence and error estimates are proved for Raviart-Thomas elements on a discrete polygonal domain Ωh, ⊄ Ω in the framework of the abstract spectral approximation theory. Similar results have been previously proved only for polygonal domains. Numerical tests confirming the theoretical results are reported.
Original languageEnglish
Pages (from-to)131-158
Number of pages28
JournalNumerische Mathematik
Publication statusPublished - 1 Mar 2004

Fingerprint Dive into the research topics of 'Finite element approximation of spectral acoustic problems on curved domains'. Together they form a unique fingerprint.

  • Cite this