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Finite element approximation of spectral acoustic problems on curved domains. (English) Zbl 1050.76032

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.

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
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