A “natural” norm for the method of characteristics using discontinuous finite elements : 2D and 3D case
A “Natural” Norm for the Method of Characteristics Using Discontinuous Finite Elements : 2D and 3D case
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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