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A priori estimates for mixed finite element approximations of second-order hyperbolic equations with absorbing boundary conditions. (English) Zbl 0859.65097
Hyperbolic equations with uniformly elliptic spatial operators and absorbing boundary conditions are considered. Using some assumptions concerning the mixed finite element space, the discretizations of a weak form of the governing equations are analyzed. A priori estimates are derived for the cases of the continuous-time, explicit and implicit forms of the finite element method.
MSC:
65M15Error bounds (IVP of PDE)
65M60Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods (IVP of PDE)
35L15Second order hyperbolic equations, initial value problems