On the application of mixed finite element methods to the wave equations. (English) Zbl 0646.65083

This paper examines the convergence of some semi-discrete approximations to the wave equation in a general space which includes the so-called Raviart-Thomas space as a special case. In addition, a brief discussion of the solution of the ensuing system of ordinary differential equations using the implicit Euler method is presented.
Reviewer: K.Burrage


65N40 Method of lines for boundary value problems involving PDEs
65L60 Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations
65L05 Numerical methods for initial value problems involving ordinary differential equations
35L05 Wave equation
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