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An analysis of new mixed finite elements for the approximation of wave propagation problems. (English) Zbl 0958.65102
A new family of rectangular (two-dimensional) or cubic (three dimensional) mixed finite elements for the approximation of the acoustic wave equations is constructed and analyzed. The main advantage of this element is that it permits to obtain through mass lumping an explicit scheme even in an anisotropic medium. Nonclassical error estimates are given for this new element.
Reviewer: L.G.Vulkov (Russe)

MSC:
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
65M15 Error bounds for initial value and initial-boundary value problems involving PDEs
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
76Q05 Hydro- and aero-acoustics
76M10 Finite element methods applied to problems in fluid mechanics
35L05 Wave equation
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