  This paper discusses lowest-order nonstandard finite element methods for
space discretization and explicit and implicit schemes for time discretization
of the biharmonic wave equation with clamped boundary conditions. A modified
Ritz projection operator defined on $H^2_0(\Omega)$ ensures error estimates
under appropriate regularity assumptions on the solution. Stability results and
error estimates of optimal order are established in suitable norms for the
semidiscrete and explicit/implicit fully-discrete versions of the proposed
schemes. Finally, we report on numerical experiments using explicit and
implicit schemes for time discretization and Morley, discontinuous Galerkin,
and {C$^0$ interior} penalty schemes for space discretization, that validate
the theoretical error estimates.
