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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:

65M15 Error bounds for initial value and initial-boundary value problems involving PDEs
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
35L15 Initial value problems for second-order hyperbolic equations
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