We present the first a priori error analysis of the hybridizable discontinuous Galerkin methods for the acoustic equation in the time-continuous case. We show that the velocity and the gradient converge with the optimal order of k + 1 in the L 2-norm uniformly in time whenever polynomials of degree k ≥ 0 are used. Finally, we show how to take advantage of this local postprocessing to obtain an approximation to the original scalar unknown also converging with order k + 2 for k ≥ 1. This puts on firm mathematical ground the numerical results obtained in
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