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.
|Number of pages||28|
|Publication status||Published - 1 Mar 2004|
Hernández, E., & Rodríguez, R. (2004). Finite element approximation of spectral acoustic problems on curved domains. Numerische Mathematik, 131-158. https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=18344404902&origin=inward