Hernández, Erwin; Rodríguez, Rodolfo Finite element approximation of spectral acoustic problems on curved domains. (English) Zbl 1050.76032 Numer. Math. 97, No. 1, 131-158 (2004). From the summary: This paper deals with finite element approximation of displacement formulation of spectral acoustic problem in a curved non-convex two-dimensional domain \(\Omega\). Convergence and error estimates are proved for Raviart-Thomas elements on a discrete polygonal domain \(\Omega_h\not\subset \Omega\) in the framework of the abstract spectral approximation theory. Numerical tests confirm the theoretical results. Cited in 4 Documents MSC: 76M10 Finite element methods applied to problems in fluid mechanics 76Q05 Hydro- and aero-acoustics 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) 65N15 Error bounds for boundary value problems involving PDEs 74S05 Finite element methods applied to problems in solid mechanics Keywords:Convergence; error estimates; Raviart-Thomas elements; discrete polygonal domain PDFBibTeX XMLCite \textit{E. Hernández} and \textit{R. Rodríguez}, Numer. Math. 97, No. 1, 131--158 (2004; Zbl 1050.76032) Full Text: DOI