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For seismic wave propagation, we propose a complete reanalysis of the finite-volume approach based on unstructured triangular meshes. Triangular control volumes are particularly well adapted to the propagation of elastic waves in heterogeneous media. We consider a non-staggered pseudo-conservative formulation as time variation is controlled by fluxes on edges of the element and we implement in a 2D geometry both source excitation and absorbing boundary conditions as PML zones. Simple illustrations show that this method could be a competitor of more traditional finite-difference methods.