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We consider the numerical approximation of a first order
stationary hyperbolic equation by the method of characteristics with
pseudo time step using discontinuous finite elements on a mesh
. For this method, we exhibit a “natural” norm || ||
for which we show that the discrete variational problem is well
posed and we
obtain an error estimate. We show that when goes to zero problem
(resp. the || || norm)
has as a limit problem (
) (resp. the
|| || norm) associated to...
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